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9.2 Basic graph operations
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3.1 Classifying data structures
|
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</a>
|
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3.2 Basic data types
|
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</a>
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3.3 Number encoding *
|
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3.4 Character encoding *
|
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3.5 Summary
|
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|
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|
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|
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|
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</a>
|
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</li>
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3.6 Exercises
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Chapter 4. Arrays and linked lists
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4.1 Arrays
|
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</span>
|
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|
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</a>
|
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</li>
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4.2 Linked lists
|
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|
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</span>
|
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|
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|
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|
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</a>
|
||
</li>
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<a href="../../chapter_array_and_linkedlist/list/" class="md-nav__link">
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4.3 Lists
|
||
|
||
|
||
</span>
|
||
|
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|
||
|
||
</a>
|
||
</li>
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|
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4.4 Memory and cache *
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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<li class="md-nav__item">
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4.5 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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4.6 Exercises
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
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|
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Chapter 5. Stacks and queues
|
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Chapter 5. Stacks and queues
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5.1 Stacks
|
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|
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|
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</span>
|
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|
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|
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</a>
|
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5.2 Queues
|
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|
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</span>
|
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|
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|
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|
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</a>
|
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</li>
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|
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5.3 Deques
|
||
|
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|
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</span>
|
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|
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|
||
|
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</a>
|
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</li>
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|
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|
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5.4 Summary
|
||
|
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|
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</span>
|
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|
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|
||
|
||
</a>
|
||
</li>
|
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5.5 Exercises
|
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|
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|
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|
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|
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|
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|
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Chapter 6. Hash tables
|
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Chapter 6. Hash tables
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6.1 Hash tables
|
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|
||
|
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</span>
|
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|
||
|
||
|
||
</a>
|
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</li>
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6.2 Hash collisions
|
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|
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|
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</span>
|
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|
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|
||
|
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</a>
|
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</li>
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<li class="md-nav__item">
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|
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6.3 Hash algorithms
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
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|
||
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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<li class="md-nav__item">
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|
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|
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|
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|
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<span class="md-ellipsis">
|
||
|
||
|
||
6.4 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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|
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|
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|
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|
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|
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6.5 Exercises
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
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|
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|
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<span class="md-ellipsis">
|
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|
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|
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Chapter 7. Trees
|
||
|
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Chapter 7. Trees
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|
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|
||
7.1 Binary trees
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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<li class="md-nav__item">
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<a href="../../chapter_tree/binary_tree_traversal/" class="md-nav__link">
|
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|
||
|
||
|
||
7.2 Traversing a binary tree
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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<li class="md-nav__item">
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<a href="../../chapter_tree/array_representation_of_tree/" class="md-nav__link">
|
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|
||
|
||
|
||
7.3 Array representation of a binary tree
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
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|
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|
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|
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|
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|
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|
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|
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<li class="md-nav__item">
|
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<a href="../../chapter_tree/binary_search_tree/" class="md-nav__link">
|
||
|
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|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
7.4 Binary search trees
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
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|
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|
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|
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|
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<li class="md-nav__item">
|
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<a href="../../chapter_tree/avl_tree/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
7.5 AVL trees *
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
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|
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|
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|
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|
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<li class="md-nav__item">
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|
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|
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|
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|
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|
||
|
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|
||
7.6 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
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|
||
|
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|
||
7.7 Exercises
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
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||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
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|
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<span class="md-ellipsis">
|
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|
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|
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Chapter 8. Heaps
|
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|
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|
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Chapter 8. Heaps
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<ul class="md-nav__list" data-md-scrollfix>
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<li class="md-nav__item">
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|
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|
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|
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|
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|
||
8.1 Heaps
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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<li class="md-nav__item">
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|
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|
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|
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|
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<span class="md-ellipsis">
|
||
|
||
|
||
8.2 Building a heap
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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|
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|
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|
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|
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8.3 The top-k problem
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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<li class="md-nav__item">
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|
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|
||
|
||
|
||
8.4 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
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|
||
8.5 Exercises
|
||
|
||
|
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</span>
|
||
|
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|
||
|
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|
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|
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Chapter 9. Graphs
|
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|
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|
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9.1 Graphs
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
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|
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9.2 Basic graph operations
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
<a href="././" class="md-nav__link md-nav__link--active">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
9.2 Basic graph operations
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
|
||
|
||
|
||
|
||
<nav class="md-nav md-nav--secondary" aria-label="On this page">
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<label class="md-nav__title" for="__toc">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
On this page
|
||
</label>
|
||
<ul class="md-nav__list" data-md-component="toc" data-md-scrollfix>
|
||
|
||
<li class="md-nav__item">
|
||
<a href="#921-adjacency-matrix-implementation" class="md-nav__link">
|
||
<span class="md-ellipsis">
|
||
<span class="md-typeset">
|
||
9.2.1 Adjacency matrix implementation
|
||
</span>
|
||
</span>
|
||
</a>
|
||
|
||
</li>
|
||
|
||
<li class="md-nav__item">
|
||
<a href="#922-adjacency-list-implementation" class="md-nav__link">
|
||
<span class="md-ellipsis">
|
||
<span class="md-typeset">
|
||
9.2.2 Adjacency list implementation
|
||
</span>
|
||
</span>
|
||
</a>
|
||
|
||
</li>
|
||
|
||
<li class="md-nav__item">
|
||
<a href="#923-comparing-efficiency" class="md-nav__link">
|
||
<span class="md-ellipsis">
|
||
<span class="md-typeset">
|
||
9.2.3 Comparing efficiency
|
||
</span>
|
||
</span>
|
||
</a>
|
||
|
||
</li>
|
||
|
||
</ul>
|
||
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../graph_traversal/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
9.3 Graph traversal
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../summary/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
9.4 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../exercises/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
9.5 Exercises
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item md-nav__item--nested">
|
||
|
||
|
||
|
||
<input class="md-nav__toggle md-toggle " type="checkbox" id="__nav_12" >
|
||
|
||
|
||
<div class="md-nav__link md-nav__container">
|
||
<a href="../../chapter_searching/" class="md-nav__link ">
|
||
|
||
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="m19.31 18.9 3.08 3.1L21 23.39l-3.12-3.07c-.69.43-1.51.68-2.38.68-2.5 0-4.5-2-4.5-4.5s2-4.5 4.5-4.5 4.5 2 4.5 4.5c0 .88-.25 1.71-.69 2.4m-3.81.1a2.5 2.5 0 0 0 0-5 2.5 2.5 0 0 0 0 5M21 4v2H3V4zM3 16v-2h6v2zm0-5V9h18v2h-2.03c-1.01-.63-2.2-1-3.47-1s-2.46.37-3.47 1z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
Chapter 10. Searching
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
|
||
|
||
<label class="md-nav__link " for="__nav_12" id="__nav_12_label" tabindex="0">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
</div>
|
||
|
||
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_12_label" aria-expanded="false">
|
||
<label class="md-nav__title" for="__nav_12">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
|
||
|
||
Chapter 10. Searching
|
||
|
||
</label>
|
||
<ul class="md-nav__list" data-md-scrollfix>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/binary_search/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.1 Binary search
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/binary_search_insertion/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.2 Finding an insertion point with binary search
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/binary_search_edge/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.3 Finding boundaries with binary search
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/replace_linear_by_hashing/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.4 Optimizing with hashing
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/searching_algorithm_revisited/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.5 Search algorithms revisited
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/summary/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.6 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_searching/exercises/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
10.7 Exercises
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item md-nav__item--nested">
|
||
|
||
|
||
|
||
<input class="md-nav__toggle md-toggle " type="checkbox" id="__nav_13" >
|
||
|
||
|
||
<div class="md-nav__link md-nav__container">
|
||
<a href="../../chapter_sorting/" class="md-nav__link ">
|
||
|
||
|
||
|
||
<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24"><path d="M19 17h3l-4 4-4-4h3V3h2M2 17h10v2H2M6 5v2H2V5m0 6h7v2H2z"/></svg>
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
Chapter 11. Sorting
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
|
||
|
||
<label class="md-nav__link " for="__nav_13" id="__nav_13_label" tabindex="0">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
</label>
|
||
|
||
</div>
|
||
|
||
<nav class="md-nav" data-md-level="1" aria-labelledby="__nav_13_label" aria-expanded="false">
|
||
<label class="md-nav__title" for="__nav_13">
|
||
<span class="md-nav__icon md-icon"></span>
|
||
|
||
|
||
Chapter 11. Sorting
|
||
|
||
</label>
|
||
<ul class="md-nav__list" data-md-scrollfix>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/sorting_algorithm/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.1 Sorting algorithms
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/selection_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.2 Selection sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/bubble_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.3 Bubble sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/insertion_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.4 Insertion sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/quick_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.5 Quick sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/merge_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.6 Merge sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/heap_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.7 Heap sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/bucket_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.8 Bucket sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/counting_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.9 Counting sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/radix_sort/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.10 Radix sort
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/summary/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.11 Summary
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
<li class="md-nav__item">
|
||
<a href="../../chapter_sorting/exercises/" class="md-nav__link">
|
||
|
||
|
||
|
||
<span class="md-ellipsis">
|
||
|
||
|
||
11.12 Exercises
|
||
|
||
|
||
</span>
|
||
|
||
|
||
|
||
</a>
|
||
</li>
|
||
|
||
|
||
|
||
|
||
</ul>
|
||
</nav>
|
||
|
||
</li>
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
|
||
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Chapter 12. Divide and conquer
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Chapter 12. Divide and conquer
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12.1 Divide and conquer
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12.2 Divide-and-conquer search
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12.3 Building a binary tree
|
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|
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12.4 Tower of Hanoi
|
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|
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12.5 Summary
|
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|
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|
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</a>
|
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</li>
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12.6 Exercises
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|
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Chapter 13. Backtracking
|
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Chapter 13. Backtracking
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13.1 Backtracking algorithms
|
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|
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</a>
|
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13.2 Permutations problem
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|
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13.3 Subset sum problem
|
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|
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</span>
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|
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</a>
|
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13.4 N-queens problem
|
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|
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|
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</span>
|
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|
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|
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|
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</a>
|
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13.5 Summary
|
||
|
||
|
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</span>
|
||
|
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|
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|
||
</a>
|
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</li>
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13.6 Exercises
|
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|
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|
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|
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|
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Chapter 14. Dynamic programming
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14.1 Introduction to dynamic programming
|
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|
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14.2 Properties of dynamic programming problems
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14.3 Solving dynamic programming problems
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14.4 0-1 knapsack problem
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|
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|
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14.5 Unbounded knapsack problem
|
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|
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|
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|
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|
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|
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|
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14.6 Edit distance problem
|
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|
||
|
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</span>
|
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|
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|
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|
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</a>
|
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</li>
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14.7 Summary
|
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|
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|
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</span>
|
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|
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|
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|
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</a>
|
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15.1 Greedy algorithms
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<h1 id="92-basic-graph-operations">9.2 Basic graph operations<a class="headerlink" href="#92-basic-graph-operations" title="Permanent link">¶</a></h1>
|
||
<p>Basic graph operations fall into two categories: operations on edges and operations on vertices. Their implementations differ depending on whether the graph is represented by an adjacency matrix or an adjacency list.</p>
|
||
<h2 id="921-adjacency-matrix-implementation">9.2.1 Adjacency matrix implementation<a class="headerlink" href="#921-adjacency-matrix-implementation" title="Permanent link">¶</a></h2>
|
||
<p>For an undirected graph with <span class="arithmatex">\(n\)</span> vertices, the operations are implemented as shown in Figure 9-7.</p>
|
||
<ul>
|
||
<li><strong>Add or remove an edge</strong>: Modify the corresponding entry in the adjacency matrix directly, taking <span class="arithmatex">\(O(1)\)</span> time. Since the graph is undirected, update the edge in both directions.</li>
|
||
<li><strong>Add a vertex</strong>: Append one row and one column to the adjacency matrix and fill them with <span class="arithmatex">\(0\)</span>, taking <span class="arithmatex">\(O(n)\)</span> time.</li>
|
||
<li><strong>Remove a vertex</strong>: Delete the corresponding row and column from the adjacency matrix. The worst case occurs when deleting the first row and column: <span class="arithmatex">\((n-1)^2\)</span> entries must be shifted up and to the left, taking <span class="arithmatex">\(O(n^2)\)</span> time.</li>
|
||
<li><strong>Initialize the graph</strong>: Given <span class="arithmatex">\(n\)</span> vertices, initialize the vertex list <code>vertices</code> of length <span class="arithmatex">\(n\)</span> in <span class="arithmatex">\(O(n)\)</span> time, then initialize the <span class="arithmatex">\(n \times n\)</span> adjacency matrix <code>adjMat</code> in <span class="arithmatex">\(O(n^2)\)</span> time.</li>
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</ul>
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<div class="tabbed-set tabbed-alternate" data-tabs="1:5"><input checked="checked" id="__tabbed_1_1" name="__tabbed_1" type="radio" /><input id="__tabbed_1_2" name="__tabbed_1" type="radio" /><input id="__tabbed_1_3" name="__tabbed_1" type="radio" /><input id="__tabbed_1_4" name="__tabbed_1" type="radio" /><input id="__tabbed_1_5" name="__tabbed_1" type="radio" /><div class="tabbed-labels"><label for="__tabbed_1_1"><1></label><label for="__tabbed_1_2"><2></label><label for="__tabbed_1_3"><3></label><label for="__tabbed_1_4"><4></label><label for="__tabbed_1_5"><5></label></div>
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<div class="tabbed-content">
|
||
<div class="tabbed-block">
|
||
<p><img alt="Initializing an adjacency matrix and adding or removing edges and vertices" class="animation-figure" src="../graph_operations.assets/adjacency_matrix_step1_initialization.png" /></p>
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</div>
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<div class="tabbed-block">
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<p><img alt="adjacency_matrix_add_edge" class="animation-figure" src="../graph_operations.assets/adjacency_matrix_step2_add_edge.png" /></p>
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</div>
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<p><img alt="adjacency_matrix_remove_edge" class="animation-figure" src="../graph_operations.assets/adjacency_matrix_step3_remove_edge.png" /></p>
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<div class="tabbed-block">
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<p><img alt="adjacency_matrix_add_vertex" class="animation-figure" src="../graph_operations.assets/adjacency_matrix_step4_add_vertex.png" /></p>
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<div class="tabbed-block">
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<p><img alt="adjacency_matrix_remove_vertex" class="animation-figure" src="../graph_operations.assets/adjacency_matrix_step5_remove_vertex.png" /></p>
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</div>
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||
<p align="center"> Figure 9-7 Initializing an adjacency matrix and adding or removing edges and vertices </p>
|
||
|
||
<p>The following code implements a graph using an adjacency matrix:</p>
|
||
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<div class="highlight"><span class="filename">graph_adjacency_matrix.py</span><pre><span></span><code><a id="__codelineno-0-1" name="__codelineno-0-1" href="#__codelineno-0-1"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="p">:</span>
|
||
<a id="__codelineno-0-2" name="__codelineno-0-2" href="#__codelineno-0-2"></a><span class="w"> </span><span class="sd">"""Undirected graph class implemented with an adjacency matrix"""</span>
|
||
<a id="__codelineno-0-3" name="__codelineno-0-3" href="#__codelineno-0-3"></a>
|
||
<a id="__codelineno-0-4" name="__codelineno-0-4" href="#__codelineno-0-4"></a> <span class="k">def</span><span class="w"> </span><span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vertices</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">],</span> <span class="n">edges</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">]]):</span>
|
||
<a id="__codelineno-0-5" name="__codelineno-0-5" href="#__codelineno-0-5"></a><span class="w"> </span><span class="sd">"""Constructor"""</span>
|
||
<a id="__codelineno-0-6" name="__codelineno-0-6" href="#__codelineno-0-6"></a> <span class="c1"># Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-0-7" name="__codelineno-0-7" href="#__codelineno-0-7"></a> <span class="bp">self</span><span class="o">.</span><span class="n">vertices</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">]</span> <span class="o">=</span> <span class="p">[]</span>
|
||
<a id="__codelineno-0-8" name="__codelineno-0-8" href="#__codelineno-0-8"></a> <span class="c1"># Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-0-9" name="__codelineno-0-9" href="#__codelineno-0-9"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">list</span><span class="p">[</span><span class="nb">int</span><span class="p">]]</span> <span class="o">=</span> <span class="p">[]</span>
|
||
<a id="__codelineno-0-10" name="__codelineno-0-10" href="#__codelineno-0-10"></a> <span class="c1"># Add a vertex</span>
|
||
<a id="__codelineno-0-11" name="__codelineno-0-11" href="#__codelineno-0-11"></a> <span class="k">for</span> <span class="n">val</span> <span class="ow">in</span> <span class="n">vertices</span><span class="p">:</span>
|
||
<a id="__codelineno-0-12" name="__codelineno-0-12" href="#__codelineno-0-12"></a> <span class="bp">self</span><span class="o">.</span><span class="n">add_vertex</span><span class="p">(</span><span class="n">val</span><span class="p">)</span>
|
||
<a id="__codelineno-0-13" name="__codelineno-0-13" href="#__codelineno-0-13"></a> <span class="c1"># Add an edge</span>
|
||
<a id="__codelineno-0-14" name="__codelineno-0-14" href="#__codelineno-0-14"></a> <span class="c1"># Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-0-15" name="__codelineno-0-15" href="#__codelineno-0-15"></a> <span class="k">for</span> <span class="n">e</span> <span class="ow">in</span> <span class="n">edges</span><span class="p">:</span>
|
||
<a id="__codelineno-0-16" name="__codelineno-0-16" href="#__codelineno-0-16"></a> <span class="bp">self</span><span class="o">.</span><span class="n">add_edge</span><span class="p">(</span><span class="n">e</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">e</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-0-17" name="__codelineno-0-17" href="#__codelineno-0-17"></a>
|
||
<a id="__codelineno-0-18" name="__codelineno-0-18" href="#__codelineno-0-18"></a> <span class="k">def</span><span class="w"> </span><span class="nf">size</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span>
|
||
<a id="__codelineno-0-19" name="__codelineno-0-19" href="#__codelineno-0-19"></a><span class="w"> </span><span class="sd">"""Get the number of vertices"""</span>
|
||
<a id="__codelineno-0-20" name="__codelineno-0-20" href="#__codelineno-0-20"></a> <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-0-21" name="__codelineno-0-21" href="#__codelineno-0-21"></a>
|
||
<a id="__codelineno-0-22" name="__codelineno-0-22" href="#__codelineno-0-22"></a> <span class="k">def</span><span class="w"> </span><span class="nf">add_vertex</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">val</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
|
||
<a id="__codelineno-0-23" name="__codelineno-0-23" href="#__codelineno-0-23"></a><span class="w"> </span><span class="sd">"""Add a vertex"""</span>
|
||
<a id="__codelineno-0-24" name="__codelineno-0-24" href="#__codelineno-0-24"></a> <span class="n">n</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">size</span><span class="p">()</span>
|
||
<a id="__codelineno-0-25" name="__codelineno-0-25" href="#__codelineno-0-25"></a> <span class="c1"># Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-0-26" name="__codelineno-0-26" href="#__codelineno-0-26"></a> <span class="bp">self</span><span class="o">.</span><span class="n">vertices</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">val</span><span class="p">)</span>
|
||
<a id="__codelineno-0-27" name="__codelineno-0-27" href="#__codelineno-0-27"></a> <span class="c1"># Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-0-28" name="__codelineno-0-28" href="#__codelineno-0-28"></a> <span class="n">new_row</span> <span class="o">=</span> <span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">*</span> <span class="n">n</span>
|
||
<a id="__codelineno-0-29" name="__codelineno-0-29" href="#__codelineno-0-29"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">new_row</span><span class="p">)</span>
|
||
<a id="__codelineno-0-30" name="__codelineno-0-30" href="#__codelineno-0-30"></a> <span class="c1"># Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-0-31" name="__codelineno-0-31" href="#__codelineno-0-31"></a> <span class="k">for</span> <span class="n">row</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">:</span>
|
||
<a id="__codelineno-0-32" name="__codelineno-0-32" href="#__codelineno-0-32"></a> <span class="n">row</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
|
||
<a id="__codelineno-0-33" name="__codelineno-0-33" href="#__codelineno-0-33"></a>
|
||
<a id="__codelineno-0-34" name="__codelineno-0-34" href="#__codelineno-0-34"></a> <span class="k">def</span><span class="w"> </span><span class="nf">remove_vertex</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">index</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
|
||
<a id="__codelineno-0-35" name="__codelineno-0-35" href="#__codelineno-0-35"></a><span class="w"> </span><span class="sd">"""Remove a vertex"""</span>
|
||
<a id="__codelineno-0-36" name="__codelineno-0-36" href="#__codelineno-0-36"></a> <span class="k">if</span> <span class="n">index</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">size</span><span class="p">():</span>
|
||
<a id="__codelineno-0-37" name="__codelineno-0-37" href="#__codelineno-0-37"></a> <span class="k">raise</span> <span class="ne">IndexError</span><span class="p">()</span>
|
||
<a id="__codelineno-0-38" name="__codelineno-0-38" href="#__codelineno-0-38"></a> <span class="c1"># Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-0-39" name="__codelineno-0-39" href="#__codelineno-0-39"></a> <span class="bp">self</span><span class="o">.</span><span class="n">vertices</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-0-40" name="__codelineno-0-40" href="#__codelineno-0-40"></a> <span class="c1"># Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-0-41" name="__codelineno-0-41" href="#__codelineno-0-41"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-0-42" name="__codelineno-0-42" href="#__codelineno-0-42"></a> <span class="c1"># Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-0-43" name="__codelineno-0-43" href="#__codelineno-0-43"></a> <span class="k">for</span> <span class="n">row</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">:</span>
|
||
<a id="__codelineno-0-44" name="__codelineno-0-44" href="#__codelineno-0-44"></a> <span class="n">row</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-0-45" name="__codelineno-0-45" href="#__codelineno-0-45"></a>
|
||
<a id="__codelineno-0-46" name="__codelineno-0-46" href="#__codelineno-0-46"></a> <span class="k">def</span><span class="w"> </span><span class="nf">add_edge</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">j</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
|
||
<a id="__codelineno-0-47" name="__codelineno-0-47" href="#__codelineno-0-47"></a><span class="w"> </span><span class="sd">"""Add an edge"""</span>
|
||
<a id="__codelineno-0-48" name="__codelineno-0-48" href="#__codelineno-0-48"></a> <span class="c1"># Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-0-49" name="__codelineno-0-49" href="#__codelineno-0-49"></a> <span class="c1"># Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-0-50" name="__codelineno-0-50" href="#__codelineno-0-50"></a> <span class="k">if</span> <span class="n">i</span> <span class="o"><</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">j</span> <span class="o"><</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">size</span><span class="p">()</span> <span class="ow">or</span> <span class="n">j</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">size</span><span class="p">()</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">==</span> <span class="n">j</span><span class="p">:</span>
|
||
<a id="__codelineno-0-51" name="__codelineno-0-51" href="#__codelineno-0-51"></a> <span class="k">raise</span> <span class="ne">IndexError</span><span class="p">()</span>
|
||
<a id="__codelineno-0-52" name="__codelineno-0-52" href="#__codelineno-0-52"></a> <span class="c1"># For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-0-53" name="__codelineno-0-53" href="#__codelineno-0-53"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
|
||
<a id="__codelineno-0-54" name="__codelineno-0-54" href="#__codelineno-0-54"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">1</span>
|
||
<a id="__codelineno-0-55" name="__codelineno-0-55" href="#__codelineno-0-55"></a>
|
||
<a id="__codelineno-0-56" name="__codelineno-0-56" href="#__codelineno-0-56"></a> <span class="k">def</span><span class="w"> </span><span class="nf">remove_edge</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">i</span><span class="p">:</span> <span class="nb">int</span><span class="p">,</span> <span class="n">j</span><span class="p">:</span> <span class="nb">int</span><span class="p">):</span>
|
||
<a id="__codelineno-0-57" name="__codelineno-0-57" href="#__codelineno-0-57"></a><span class="w"> </span><span class="sd">"""Remove an edge"""</span>
|
||
<a id="__codelineno-0-58" name="__codelineno-0-58" href="#__codelineno-0-58"></a> <span class="c1"># Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-0-59" name="__codelineno-0-59" href="#__codelineno-0-59"></a> <span class="c1"># Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-0-60" name="__codelineno-0-60" href="#__codelineno-0-60"></a> <span class="k">if</span> <span class="n">i</span> <span class="o"><</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">j</span> <span class="o"><</span> <span class="mi">0</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">size</span><span class="p">()</span> <span class="ow">or</span> <span class="n">j</span> <span class="o">>=</span> <span class="bp">self</span><span class="o">.</span><span class="n">size</span><span class="p">()</span> <span class="ow">or</span> <span class="n">i</span> <span class="o">==</span> <span class="n">j</span><span class="p">:</span>
|
||
<a id="__codelineno-0-61" name="__codelineno-0-61" href="#__codelineno-0-61"></a> <span class="k">raise</span> <span class="ne">IndexError</span><span class="p">()</span>
|
||
<a id="__codelineno-0-62" name="__codelineno-0-62" href="#__codelineno-0-62"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
|
||
<a id="__codelineno-0-63" name="__codelineno-0-63" href="#__codelineno-0-63"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="mi">0</span>
|
||
<a id="__codelineno-0-64" name="__codelineno-0-64" href="#__codelineno-0-64"></a>
|
||
<a id="__codelineno-0-65" name="__codelineno-0-65" href="#__codelineno-0-65"></a> <span class="k">def</span><span class="w"> </span><span class="nf">print</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
|
||
<a id="__codelineno-0-66" name="__codelineno-0-66" href="#__codelineno-0-66"></a><span class="w"> </span><span class="sd">"""Print the adjacency matrix"""</span>
|
||
<a id="__codelineno-0-67" name="__codelineno-0-67" href="#__codelineno-0-67"></a> <span class="nb">print</span><span class="p">(</span><span class="s2">"Vertex list ="</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-0-68" name="__codelineno-0-68" href="#__codelineno-0-68"></a> <span class="nb">print</span><span class="p">(</span><span class="s2">"Adjacency matrix ="</span><span class="p">)</span>
|
||
<a id="__codelineno-0-69" name="__codelineno-0-69" href="#__codelineno-0-69"></a> <span class="n">print_matrix</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">adj_mat</span><span class="p">)</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.cpp</span><pre><span></span><code><a id="__codelineno-1-1" name="__codelineno-1-1" href="#__codelineno-1-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-1-2" name="__codelineno-1-2" href="#__codelineno-1-2"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-3" name="__codelineno-1-3" href="#__codelineno-1-3"></a><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">vertices</span><span class="p">;</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-1-4" name="__codelineno-1-4" href="#__codelineno-1-4"></a><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">>></span><span class="w"> </span><span class="n">adjMat</span><span class="p">;</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-1-5" name="__codelineno-1-5" href="#__codelineno-1-5"></a>
|
||
<a id="__codelineno-1-6" name="__codelineno-1-6" href="#__codelineno-1-6"></a><span class="w"> </span><span class="k">public</span><span class="o">:</span>
|
||
<a id="__codelineno-1-7" name="__codelineno-1-7" href="#__codelineno-1-7"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-1-8" name="__codelineno-1-8" href="#__codelineno-1-8"></a><span class="w"> </span><span class="n">GraphAdjMat</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="o">&</span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">>></span><span class="w"> </span><span class="o">&</span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-9" name="__codelineno-1-9" href="#__codelineno-1-9"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-1-10" name="__codelineno-1-10" href="#__codelineno-1-10"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-11" name="__codelineno-1-11" href="#__codelineno-1-11"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-1-12" name="__codelineno-1-12" href="#__codelineno-1-12"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-13" name="__codelineno-1-13" href="#__codelineno-1-13"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-1-14" name="__codelineno-1-14" href="#__codelineno-1-14"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-1-15" name="__codelineno-1-15" href="#__codelineno-1-15"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="o">&</span><span class="n">edge</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-16" name="__codelineno-1-16" href="#__codelineno-1-16"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-1-17" name="__codelineno-1-17" href="#__codelineno-1-17"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-18" name="__codelineno-1-18" href="#__codelineno-1-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-19" name="__codelineno-1-19" href="#__codelineno-1-19"></a>
|
||
<a id="__codelineno-1-20" name="__codelineno-1-20" href="#__codelineno-1-20"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-1-21" name="__codelineno-1-21" href="#__codelineno-1-21"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-22" name="__codelineno-1-22" href="#__codelineno-1-22"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">size</span><span class="p">();</span>
|
||
<a id="__codelineno-1-23" name="__codelineno-1-23" href="#__codelineno-1-23"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-24" name="__codelineno-1-24" href="#__codelineno-1-24"></a>
|
||
<a id="__codelineno-1-25" name="__codelineno-1-25" href="#__codelineno-1-25"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-1-26" name="__codelineno-1-26" href="#__codelineno-1-26"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-27" name="__codelineno-1-27" href="#__codelineno-1-27"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="p">();</span>
|
||
<a id="__codelineno-1-28" name="__codelineno-1-28" href="#__codelineno-1-28"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-1-29" name="__codelineno-1-29" href="#__codelineno-1-29"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">push_back</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-1-30" name="__codelineno-1-30" href="#__codelineno-1-30"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-1-31" name="__codelineno-1-31" href="#__codelineno-1-31"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">emplace_back</span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">));</span>
|
||
<a id="__codelineno-1-32" name="__codelineno-1-32" href="#__codelineno-1-32"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-1-33" name="__codelineno-1-33" href="#__codelineno-1-33"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="o">&</span><span class="n">row</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-34" name="__codelineno-1-34" href="#__codelineno-1-34"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">push_back</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-1-35" name="__codelineno-1-35" href="#__codelineno-1-35"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-36" name="__codelineno-1-36" href="#__codelineno-1-36"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-37" name="__codelineno-1-37" href="#__codelineno-1-37"></a>
|
||
<a id="__codelineno-1-38" name="__codelineno-1-38" href="#__codelineno-1-38"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-1-39" name="__codelineno-1-39" href="#__codelineno-1-39"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-40" name="__codelineno-1-40" href="#__codelineno-1-40"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-41" name="__codelineno-1-41" href="#__codelineno-1-41"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">out_of_range</span><span class="p">(</span><span class="s">"Invalid vertex"</span><span class="p">);</span>
|
||
<a id="__codelineno-1-42" name="__codelineno-1-42" href="#__codelineno-1-42"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-43" name="__codelineno-1-43" href="#__codelineno-1-43"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-1-44" name="__codelineno-1-44" href="#__codelineno-1-44"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">erase</span><span class="p">(</span><span class="n">vertices</span><span class="p">.</span><span class="n">begin</span><span class="p">()</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-1-45" name="__codelineno-1-45" href="#__codelineno-1-45"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-1-46" name="__codelineno-1-46" href="#__codelineno-1-46"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">erase</span><span class="p">(</span><span class="n">adjMat</span><span class="p">.</span><span class="n">begin</span><span class="p">()</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-1-47" name="__codelineno-1-47" href="#__codelineno-1-47"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-1-48" name="__codelineno-1-48" href="#__codelineno-1-48"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="o">&</span><span class="n">row</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-49" name="__codelineno-1-49" href="#__codelineno-1-49"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">erase</span><span class="p">(</span><span class="n">row</span><span class="p">.</span><span class="n">begin</span><span class="p">()</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-1-50" name="__codelineno-1-50" href="#__codelineno-1-50"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-51" name="__codelineno-1-51" href="#__codelineno-1-51"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-52" name="__codelineno-1-52" href="#__codelineno-1-52"></a>
|
||
<a id="__codelineno-1-53" name="__codelineno-1-53" href="#__codelineno-1-53"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-1-54" name="__codelineno-1-54" href="#__codelineno-1-54"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-1-55" name="__codelineno-1-55" href="#__codelineno-1-55"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-56" name="__codelineno-1-56" href="#__codelineno-1-56"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-1-57" name="__codelineno-1-57" href="#__codelineno-1-57"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-58" name="__codelineno-1-58" href="#__codelineno-1-58"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">out_of_range</span><span class="p">(</span><span class="s">"Invalid vertex"</span><span class="p">);</span>
|
||
<a id="__codelineno-1-59" name="__codelineno-1-59" href="#__codelineno-1-59"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-60" name="__codelineno-1-60" href="#__codelineno-1-60"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-1-61" name="__codelineno-1-61" href="#__codelineno-1-61"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-1-62" name="__codelineno-1-62" href="#__codelineno-1-62"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-1-63" name="__codelineno-1-63" href="#__codelineno-1-63"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-64" name="__codelineno-1-64" href="#__codelineno-1-64"></a>
|
||
<a id="__codelineno-1-65" name="__codelineno-1-65" href="#__codelineno-1-65"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-1-66" name="__codelineno-1-66" href="#__codelineno-1-66"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-1-67" name="__codelineno-1-67" href="#__codelineno-1-67"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-68" name="__codelineno-1-68" href="#__codelineno-1-68"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-1-69" name="__codelineno-1-69" href="#__codelineno-1-69"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-70" name="__codelineno-1-70" href="#__codelineno-1-70"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">out_of_range</span><span class="p">(</span><span class="s">"Invalid vertex"</span><span class="p">);</span>
|
||
<a id="__codelineno-1-71" name="__codelineno-1-71" href="#__codelineno-1-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-72" name="__codelineno-1-72" href="#__codelineno-1-72"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-1-73" name="__codelineno-1-73" href="#__codelineno-1-73"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-1-74" name="__codelineno-1-74" href="#__codelineno-1-74"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-75" name="__codelineno-1-75" href="#__codelineno-1-75"></a>
|
||
<a id="__codelineno-1-76" name="__codelineno-1-76" href="#__codelineno-1-76"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-1-77" name="__codelineno-1-77" href="#__codelineno-1-77"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-1-78" name="__codelineno-1-78" href="#__codelineno-1-78"></a><span class="w"> </span><span class="n">cout</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">"Vertex list = "</span><span class="p">;</span>
|
||
<a id="__codelineno-1-79" name="__codelineno-1-79" href="#__codelineno-1-79"></a><span class="w"> </span><span class="n">printVector</span><span class="p">(</span><span class="n">vertices</span><span class="p">);</span>
|
||
<a id="__codelineno-1-80" name="__codelineno-1-80" href="#__codelineno-1-80"></a><span class="w"> </span><span class="n">cout</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">"Adjacency matrix ="</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">endl</span><span class="p">;</span>
|
||
<a id="__codelineno-1-81" name="__codelineno-1-81" href="#__codelineno-1-81"></a><span class="w"> </span><span class="n">printVectorMatrix</span><span class="p">(</span><span class="n">adjMat</span><span class="p">);</span>
|
||
<a id="__codelineno-1-82" name="__codelineno-1-82" href="#__codelineno-1-82"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-1-83" name="__codelineno-1-83" href="#__codelineno-1-83"></a><span class="p">};</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.java</span><pre><span></span><code><a id="__codelineno-2-1" name="__codelineno-2-1" href="#__codelineno-2-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-2-2" name="__codelineno-2-2" href="#__codelineno-2-2"></a><span class="kd">class</span> <span class="nc">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-3" name="__codelineno-2-3" href="#__codelineno-2-3"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Integer</span><span class="o">></span><span class="w"> </span><span class="n">vertices</span><span class="p">;</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-2-4" name="__codelineno-2-4" href="#__codelineno-2-4"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">List</span><span class="o"><</span><span class="n">Integer</span><span class="o">>></span><span class="w"> </span><span class="n">adjMat</span><span class="p">;</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-2-5" name="__codelineno-2-5" href="#__codelineno-2-5"></a>
|
||
<a id="__codelineno-2-6" name="__codelineno-2-6" href="#__codelineno-2-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-2-7" name="__codelineno-2-7" href="#__codelineno-2-7"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="nf">GraphAdjMat</span><span class="p">(</span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="o">[][]</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-8" name="__codelineno-2-8" href="#__codelineno-2-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="na">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">ArrayList</span><span class="o"><></span><span class="p">();</span>
|
||
<a id="__codelineno-2-9" name="__codelineno-2-9" href="#__codelineno-2-9"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="na">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">ArrayList</span><span class="o"><></span><span class="p">();</span>
|
||
<a id="__codelineno-2-10" name="__codelineno-2-10" href="#__codelineno-2-10"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-2-11" name="__codelineno-2-11" href="#__codelineno-2-11"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-12" name="__codelineno-2-12" href="#__codelineno-2-12"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-2-13" name="__codelineno-2-13" href="#__codelineno-2-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-14" name="__codelineno-2-14" href="#__codelineno-2-14"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-2-15" name="__codelineno-2-15" href="#__codelineno-2-15"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-2-16" name="__codelineno-2-16" href="#__codelineno-2-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="o">[]</span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-17" name="__codelineno-2-17" href="#__codelineno-2-17"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">e</span><span class="o">[</span><span class="mi">0</span><span class="o">]</span><span class="p">,</span><span class="w"> </span><span class="n">e</span><span class="o">[</span><span class="mi">1</span><span class="o">]</span><span class="p">);</span>
|
||
<a id="__codelineno-2-18" name="__codelineno-2-18" href="#__codelineno-2-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-19" name="__codelineno-2-19" href="#__codelineno-2-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-20" name="__codelineno-2-20" href="#__codelineno-2-20"></a>
|
||
<a id="__codelineno-2-21" name="__codelineno-2-21" href="#__codelineno-2-21"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-2-22" name="__codelineno-2-22" href="#__codelineno-2-22"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-23" name="__codelineno-2-23" href="#__codelineno-2-23"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="na">size</span><span class="p">();</span>
|
||
<a id="__codelineno-2-24" name="__codelineno-2-24" href="#__codelineno-2-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-25" name="__codelineno-2-25" href="#__codelineno-2-25"></a>
|
||
<a id="__codelineno-2-26" name="__codelineno-2-26" href="#__codelineno-2-26"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-2-27" name="__codelineno-2-27" href="#__codelineno-2-27"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-28" name="__codelineno-2-28" href="#__codelineno-2-28"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="p">();</span>
|
||
<a id="__codelineno-2-29" name="__codelineno-2-29" href="#__codelineno-2-29"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-2-30" name="__codelineno-2-30" href="#__codelineno-2-30"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-2-31" name="__codelineno-2-31" href="#__codelineno-2-31"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-2-32" name="__codelineno-2-32" href="#__codelineno-2-32"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Integer</span><span class="o">></span><span class="w"> </span><span class="n">newRow</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">ArrayList</span><span class="o"><></span><span class="p">(</span><span class="n">n</span><span class="p">);</span>
|
||
<a id="__codelineno-2-33" name="__codelineno-2-33" href="#__codelineno-2-33"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">n</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-34" name="__codelineno-2-34" href="#__codelineno-2-34"></a><span class="w"> </span><span class="n">newRow</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-2-35" name="__codelineno-2-35" href="#__codelineno-2-35"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-36" name="__codelineno-2-36" href="#__codelineno-2-36"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">newRow</span><span class="p">);</span>
|
||
<a id="__codelineno-2-37" name="__codelineno-2-37" href="#__codelineno-2-37"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-2-38" name="__codelineno-2-38" href="#__codelineno-2-38"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="n">Integer</span><span class="o">></span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-39" name="__codelineno-2-39" href="#__codelineno-2-39"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-2-40" name="__codelineno-2-40" href="#__codelineno-2-40"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-41" name="__codelineno-2-41" href="#__codelineno-2-41"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-42" name="__codelineno-2-42" href="#__codelineno-2-42"></a>
|
||
<a id="__codelineno-2-43" name="__codelineno-2-43" href="#__codelineno-2-43"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-2-44" name="__codelineno-2-44" href="#__codelineno-2-44"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-45" name="__codelineno-2-45" href="#__codelineno-2-45"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">())</span>
|
||
<a id="__codelineno-2-46" name="__codelineno-2-46" href="#__codelineno-2-46"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">IndexOutOfBoundsException</span><span class="p">();</span>
|
||
<a id="__codelineno-2-47" name="__codelineno-2-47" href="#__codelineno-2-47"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-2-48" name="__codelineno-2-48" href="#__codelineno-2-48"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-2-49" name="__codelineno-2-49" href="#__codelineno-2-49"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-2-50" name="__codelineno-2-50" href="#__codelineno-2-50"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-2-51" name="__codelineno-2-51" href="#__codelineno-2-51"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-2-52" name="__codelineno-2-52" href="#__codelineno-2-52"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="n">Integer</span><span class="o">></span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-53" name="__codelineno-2-53" href="#__codelineno-2-53"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-2-54" name="__codelineno-2-54" href="#__codelineno-2-54"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-55" name="__codelineno-2-55" href="#__codelineno-2-55"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-56" name="__codelineno-2-56" href="#__codelineno-2-56"></a>
|
||
<a id="__codelineno-2-57" name="__codelineno-2-57" href="#__codelineno-2-57"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-2-58" name="__codelineno-2-58" href="#__codelineno-2-58"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-2-59" name="__codelineno-2-59" href="#__codelineno-2-59"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-60" name="__codelineno-2-60" href="#__codelineno-2-60"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-2-61" name="__codelineno-2-61" href="#__codelineno-2-61"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-2-62" name="__codelineno-2-62" href="#__codelineno-2-62"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">IndexOutOfBoundsException</span><span class="p">();</span>
|
||
<a id="__codelineno-2-63" name="__codelineno-2-63" href="#__codelineno-2-63"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-2-64" name="__codelineno-2-64" href="#__codelineno-2-64"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">i</span><span class="p">).</span><span class="na">set</span><span class="p">(</span><span class="n">j</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
|
||
<a id="__codelineno-2-65" name="__codelineno-2-65" href="#__codelineno-2-65"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">j</span><span class="p">).</span><span class="na">set</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="mi">1</span><span class="p">);</span>
|
||
<a id="__codelineno-2-66" name="__codelineno-2-66" href="#__codelineno-2-66"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-67" name="__codelineno-2-67" href="#__codelineno-2-67"></a>
|
||
<a id="__codelineno-2-68" name="__codelineno-2-68" href="#__codelineno-2-68"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-2-69" name="__codelineno-2-69" href="#__codelineno-2-69"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-2-70" name="__codelineno-2-70" href="#__codelineno-2-70"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-71" name="__codelineno-2-71" href="#__codelineno-2-71"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-2-72" name="__codelineno-2-72" href="#__codelineno-2-72"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-2-73" name="__codelineno-2-73" href="#__codelineno-2-73"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">IndexOutOfBoundsException</span><span class="p">();</span>
|
||
<a id="__codelineno-2-74" name="__codelineno-2-74" href="#__codelineno-2-74"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">i</span><span class="p">).</span><span class="na">set</span><span class="p">(</span><span class="n">j</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-2-75" name="__codelineno-2-75" href="#__codelineno-2-75"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">j</span><span class="p">).</span><span class="na">set</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-2-76" name="__codelineno-2-76" href="#__codelineno-2-76"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-77" name="__codelineno-2-77" href="#__codelineno-2-77"></a>
|
||
<a id="__codelineno-2-78" name="__codelineno-2-78" href="#__codelineno-2-78"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-2-79" name="__codelineno-2-79" href="#__codelineno-2-79"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-2-80" name="__codelineno-2-80" href="#__codelineno-2-80"></a><span class="w"> </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">print</span><span class="p">(</span><span class="s">"Vertex list = "</span><span class="p">);</span>
|
||
<a id="__codelineno-2-81" name="__codelineno-2-81" href="#__codelineno-2-81"></a><span class="w"> </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="n">vertices</span><span class="p">);</span>
|
||
<a id="__codelineno-2-82" name="__codelineno-2-82" href="#__codelineno-2-82"></a><span class="w"> </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="s">"Adjacency matrix ="</span><span class="p">);</span>
|
||
<a id="__codelineno-2-83" name="__codelineno-2-83" href="#__codelineno-2-83"></a><span class="w"> </span><span class="n">PrintUtil</span><span class="p">.</span><span class="na">printMatrix</span><span class="p">(</span><span class="n">adjMat</span><span class="p">);</span>
|
||
<a id="__codelineno-2-84" name="__codelineno-2-84" href="#__codelineno-2-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-2-85" name="__codelineno-2-85" href="#__codelineno-2-85"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.cs</span><pre><span></span><code><a id="__codelineno-3-1" name="__codelineno-3-1" href="#__codelineno-3-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-3-2" name="__codelineno-3-2" href="#__codelineno-3-2"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-3" name="__codelineno-3-3" href="#__codelineno-3-3"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">vertices</span><span class="p">;</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-3-4" name="__codelineno-3-4" href="#__codelineno-3-4"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">>></span><span class="w"> </span><span class="n">adjMat</span><span class="p">;</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-3-5" name="__codelineno-3-5" href="#__codelineno-3-5"></a>
|
||
<a id="__codelineno-3-6" name="__codelineno-3-6" href="#__codelineno-3-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-3-7" name="__codelineno-3-7" href="#__codelineno-3-7"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="nf">GraphAdjMat</span><span class="p">(</span><span class="kt">int</span><span class="p">[]</span><span class="w"> </span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="p">[][]</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-8" name="__codelineno-3-8" href="#__codelineno-3-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="n">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-3-9" name="__codelineno-3-9" href="#__codelineno-3-9"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="n">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-3-10" name="__codelineno-3-10" href="#__codelineno-3-10"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-3-11" name="__codelineno-3-11" href="#__codelineno-3-11"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-12" name="__codelineno-3-12" href="#__codelineno-3-12"></a><span class="w"> </span><span class="n">AddVertex</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-3-13" name="__codelineno-3-13" href="#__codelineno-3-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-14" name="__codelineno-3-14" href="#__codelineno-3-14"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-3-15" name="__codelineno-3-15" href="#__codelineno-3-15"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-3-16" name="__codelineno-3-16" href="#__codelineno-3-16"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="p">[]</span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-17" name="__codelineno-3-17" href="#__codelineno-3-17"></a><span class="w"> </span><span class="n">AddEdge</span><span class="p">(</span><span class="n">e</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">e</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-3-18" name="__codelineno-3-18" href="#__codelineno-3-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-19" name="__codelineno-3-19" href="#__codelineno-3-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-20" name="__codelineno-3-20" href="#__codelineno-3-20"></a>
|
||
<a id="__codelineno-3-21" name="__codelineno-3-21" href="#__codelineno-3-21"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-3-22" name="__codelineno-3-22" href="#__codelineno-3-22"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">Size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-23" name="__codelineno-3-23" href="#__codelineno-3-23"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">Count</span><span class="p">;</span>
|
||
<a id="__codelineno-3-24" name="__codelineno-3-24" href="#__codelineno-3-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-25" name="__codelineno-3-25" href="#__codelineno-3-25"></a>
|
||
<a id="__codelineno-3-26" name="__codelineno-3-26" href="#__codelineno-3-26"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-3-27" name="__codelineno-3-27" href="#__codelineno-3-27"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">AddVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-28" name="__codelineno-3-28" href="#__codelineno-3-28"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">Size</span><span class="p">();</span>
|
||
<a id="__codelineno-3-29" name="__codelineno-3-29" href="#__codelineno-3-29"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-3-30" name="__codelineno-3-30" href="#__codelineno-3-30"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">Add</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-3-31" name="__codelineno-3-31" href="#__codelineno-3-31"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-3-32" name="__codelineno-3-32" href="#__codelineno-3-32"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">newRow</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="p">(</span><span class="n">n</span><span class="p">);</span>
|
||
<a id="__codelineno-3-33" name="__codelineno-3-33" href="#__codelineno-3-33"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">n</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-34" name="__codelineno-3-34" href="#__codelineno-3-34"></a><span class="w"> </span><span class="n">newRow</span><span class="p">.</span><span class="n">Add</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-3-35" name="__codelineno-3-35" href="#__codelineno-3-35"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-36" name="__codelineno-3-36" href="#__codelineno-3-36"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">Add</span><span class="p">(</span><span class="n">newRow</span><span class="p">);</span>
|
||
<a id="__codelineno-3-37" name="__codelineno-3-37" href="#__codelineno-3-37"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-3-38" name="__codelineno-3-38" href="#__codelineno-3-38"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-39" name="__codelineno-3-39" href="#__codelineno-3-39"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">Add</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-3-40" name="__codelineno-3-40" href="#__codelineno-3-40"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-41" name="__codelineno-3-41" href="#__codelineno-3-41"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-42" name="__codelineno-3-42" href="#__codelineno-3-42"></a>
|
||
<a id="__codelineno-3-43" name="__codelineno-3-43" href="#__codelineno-3-43"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-3-44" name="__codelineno-3-44" href="#__codelineno-3-44"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">RemoveVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-45" name="__codelineno-3-45" href="#__codelineno-3-45"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">Size</span><span class="p">())</span>
|
||
<a id="__codelineno-3-46" name="__codelineno-3-46" href="#__codelineno-3-46"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="nf">IndexOutOfRangeException</span><span class="p">();</span>
|
||
<a id="__codelineno-3-47" name="__codelineno-3-47" href="#__codelineno-3-47"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-3-48" name="__codelineno-3-48" href="#__codelineno-3-48"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">RemoveAt</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-3-49" name="__codelineno-3-49" href="#__codelineno-3-49"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-3-50" name="__codelineno-3-50" href="#__codelineno-3-50"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">RemoveAt</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-3-51" name="__codelineno-3-51" href="#__codelineno-3-51"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-3-52" name="__codelineno-3-52" href="#__codelineno-3-52"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-53" name="__codelineno-3-53" href="#__codelineno-3-53"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">RemoveAt</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-3-54" name="__codelineno-3-54" href="#__codelineno-3-54"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-55" name="__codelineno-3-55" href="#__codelineno-3-55"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-56" name="__codelineno-3-56" href="#__codelineno-3-56"></a>
|
||
<a id="__codelineno-3-57" name="__codelineno-3-57" href="#__codelineno-3-57"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-3-58" name="__codelineno-3-58" href="#__codelineno-3-58"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-3-59" name="__codelineno-3-59" href="#__codelineno-3-59"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">AddEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-60" name="__codelineno-3-60" href="#__codelineno-3-60"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-3-61" name="__codelineno-3-61" href="#__codelineno-3-61"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">Size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">Size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-3-62" name="__codelineno-3-62" href="#__codelineno-3-62"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="nf">IndexOutOfRangeException</span><span class="p">();</span>
|
||
<a id="__codelineno-3-63" name="__codelineno-3-63" href="#__codelineno-3-63"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-3-64" name="__codelineno-3-64" href="#__codelineno-3-64"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-3-65" name="__codelineno-3-65" href="#__codelineno-3-65"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-3-66" name="__codelineno-3-66" href="#__codelineno-3-66"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-67" name="__codelineno-3-67" href="#__codelineno-3-67"></a>
|
||
<a id="__codelineno-3-68" name="__codelineno-3-68" href="#__codelineno-3-68"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-3-69" name="__codelineno-3-69" href="#__codelineno-3-69"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-3-70" name="__codelineno-3-70" href="#__codelineno-3-70"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">RemoveEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-71" name="__codelineno-3-71" href="#__codelineno-3-71"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-3-72" name="__codelineno-3-72" href="#__codelineno-3-72"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">Size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">Size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-3-73" name="__codelineno-3-73" href="#__codelineno-3-73"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="nf">IndexOutOfRangeException</span><span class="p">();</span>
|
||
<a id="__codelineno-3-74" name="__codelineno-3-74" href="#__codelineno-3-74"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-3-75" name="__codelineno-3-75" href="#__codelineno-3-75"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-3-76" name="__codelineno-3-76" href="#__codelineno-3-76"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-77" name="__codelineno-3-77" href="#__codelineno-3-77"></a>
|
||
<a id="__codelineno-3-78" name="__codelineno-3-78" href="#__codelineno-3-78"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-3-79" name="__codelineno-3-79" href="#__codelineno-3-79"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">Print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-3-80" name="__codelineno-3-80" href="#__codelineno-3-80"></a><span class="w"> </span><span class="n">Console</span><span class="p">.</span><span class="n">Write</span><span class="p">(</span><span class="s">"Vertex list = "</span><span class="p">);</span>
|
||
<a id="__codelineno-3-81" name="__codelineno-3-81" href="#__codelineno-3-81"></a><span class="w"> </span><span class="n">PrintUtil</span><span class="p">.</span><span class="n">PrintList</span><span class="p">(</span><span class="n">vertices</span><span class="p">);</span>
|
||
<a id="__codelineno-3-82" name="__codelineno-3-82" href="#__codelineno-3-82"></a><span class="w"> </span><span class="n">Console</span><span class="p">.</span><span class="n">WriteLine</span><span class="p">(</span><span class="s">"Adjacency matrix ="</span><span class="p">);</span>
|
||
<a id="__codelineno-3-83" name="__codelineno-3-83" href="#__codelineno-3-83"></a><span class="w"> </span><span class="n">PrintUtil</span><span class="p">.</span><span class="n">PrintMatrix</span><span class="p">(</span><span class="n">adjMat</span><span class="p">);</span>
|
||
<a id="__codelineno-3-84" name="__codelineno-3-84" href="#__codelineno-3-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-3-85" name="__codelineno-3-85" href="#__codelineno-3-85"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.go</span><pre><span></span><code><a id="__codelineno-4-1" name="__codelineno-4-1" href="#__codelineno-4-1"></a><span class="cm">/* Undirected graph type implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-4-2" name="__codelineno-4-2" href="#__codelineno-4-2"></a><span class="kd">type</span><span class="w"> </span><span class="nx">graphAdjMat</span><span class="w"> </span><span class="kd">struct</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-3" name="__codelineno-4-3" href="#__codelineno-4-3"></a><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-4-4" name="__codelineno-4-4" href="#__codelineno-4-4"></a><span class="w"> </span><span class="nx">vertices</span><span class="w"> </span><span class="p">[]</span><span class="kt">int</span>
|
||
<a id="__codelineno-4-5" name="__codelineno-4-5" href="#__codelineno-4-5"></a><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-4-6" name="__codelineno-4-6" href="#__codelineno-4-6"></a><span class="w"> </span><span class="nx">adjMat</span><span class="w"> </span><span class="p">[][]</span><span class="kt">int</span>
|
||
<a id="__codelineno-4-7" name="__codelineno-4-7" href="#__codelineno-4-7"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-8" name="__codelineno-4-8" href="#__codelineno-4-8"></a>
|
||
<a id="__codelineno-4-9" name="__codelineno-4-9" href="#__codelineno-4-9"></a><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-4-10" name="__codelineno-4-10" href="#__codelineno-4-10"></a><span class="kd">func</span><span class="w"> </span><span class="nx">newGraphAdjMat</span><span class="p">(</span><span class="nx">vertices</span><span class="w"> </span><span class="p">[]</span><span class="kt">int</span><span class="p">,</span><span class="w"> </span><span class="nx">edges</span><span class="w"> </span><span class="p">[][]</span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-11" name="__codelineno-4-11" href="#__codelineno-4-11"></a><span class="w"> </span><span class="c1">// Allocate the adjacency matrix for all vertices</span>
|
||
<a id="__codelineno-4-12" name="__codelineno-4-12" href="#__codelineno-4-12"></a><span class="w"> </span><span class="nx">n</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nb">len</span><span class="p">(</span><span class="nx">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-4-13" name="__codelineno-4-13" href="#__codelineno-4-13"></a><span class="w"> </span><span class="nx">adjMat</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nb">make</span><span class="p">([][]</span><span class="kt">int</span><span class="p">,</span><span class="w"> </span><span class="nx">n</span><span class="p">)</span>
|
||
<a id="__codelineno-4-14" name="__codelineno-4-14" href="#__codelineno-4-14"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">adjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-15" name="__codelineno-4-15" href="#__codelineno-4-15"></a><span class="w"> </span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">make</span><span class="p">([]</span><span class="kt">int</span><span class="p">,</span><span class="w"> </span><span class="nx">n</span><span class="p">)</span>
|
||
<a id="__codelineno-4-16" name="__codelineno-4-16" href="#__codelineno-4-16"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-17" name="__codelineno-4-17" href="#__codelineno-4-17"></a><span class="w"> </span><span class="c1">// Initialize the graph</span>
|
||
<a id="__codelineno-4-18" name="__codelineno-4-18" href="#__codelineno-4-18"></a><span class="w"> </span><span class="nx">g</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="o">&</span><span class="nx">graphAdjMat</span><span class="p">{</span>
|
||
<a id="__codelineno-4-19" name="__codelineno-4-19" href="#__codelineno-4-19"></a><span class="w"> </span><span class="nx">vertices</span><span class="p">:</span><span class="w"> </span><span class="nx">vertices</span><span class="p">,</span>
|
||
<a id="__codelineno-4-20" name="__codelineno-4-20" href="#__codelineno-4-20"></a><span class="w"> </span><span class="nx">adjMat</span><span class="p">:</span><span class="w"> </span><span class="nx">adjMat</span><span class="p">,</span>
|
||
<a id="__codelineno-4-21" name="__codelineno-4-21" href="#__codelineno-4-21"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-22" name="__codelineno-4-22" href="#__codelineno-4-22"></a><span class="w"> </span><span class="c1">// Add all edges</span>
|
||
<a id="__codelineno-4-23" name="__codelineno-4-23" href="#__codelineno-4-23"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-4-24" name="__codelineno-4-24" href="#__codelineno-4-24"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">edges</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-25" name="__codelineno-4-25" href="#__codelineno-4-25"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">edges</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="nx">edges</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-4-26" name="__codelineno-4-26" href="#__codelineno-4-26"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-27" name="__codelineno-4-27" href="#__codelineno-4-27"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nx">g</span>
|
||
<a id="__codelineno-4-28" name="__codelineno-4-28" href="#__codelineno-4-28"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-29" name="__codelineno-4-29" href="#__codelineno-4-29"></a>
|
||
<a id="__codelineno-4-30" name="__codelineno-4-30" href="#__codelineno-4-30"></a><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-4-31" name="__codelineno-4-31" href="#__codelineno-4-31"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="p">)</span><span class="w"> </span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-32" name="__codelineno-4-32" href="#__codelineno-4-32"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">len</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-4-33" name="__codelineno-4-33" href="#__codelineno-4-33"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-34" name="__codelineno-4-34" href="#__codelineno-4-34"></a>
|
||
<a id="__codelineno-4-35" name="__codelineno-4-35" href="#__codelineno-4-35"></a><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-4-36" name="__codelineno-4-36" href="#__codelineno-4-36"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="p">)</span><span class="w"> </span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">val</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-37" name="__codelineno-4-37" href="#__codelineno-4-37"></a><span class="w"> </span><span class="nx">n</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span>
|
||
<a id="__codelineno-4-38" name="__codelineno-4-38" href="#__codelineno-4-38"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-4-39" name="__codelineno-4-39" href="#__codelineno-4-39"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="p">,</span><span class="w"> </span><span class="nx">val</span><span class="p">)</span>
|
||
<a id="__codelineno-4-40" name="__codelineno-4-40" href="#__codelineno-4-40"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-4-41" name="__codelineno-4-41" href="#__codelineno-4-41"></a><span class="w"> </span><span class="nx">newRow</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nb">make</span><span class="p">([]</span><span class="kt">int</span><span class="p">,</span><span class="w"> </span><span class="nx">n</span><span class="p">)</span>
|
||
<a id="__codelineno-4-42" name="__codelineno-4-42" href="#__codelineno-4-42"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">,</span><span class="w"> </span><span class="nx">newRow</span><span class="p">)</span>
|
||
<a id="__codelineno-4-43" name="__codelineno-4-43" href="#__codelineno-4-43"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-4-44" name="__codelineno-4-44" href="#__codelineno-4-44"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-45" name="__codelineno-4-45" href="#__codelineno-4-45"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">],</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span>
|
||
<a id="__codelineno-4-46" name="__codelineno-4-46" href="#__codelineno-4-46"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-47" name="__codelineno-4-47" href="#__codelineno-4-47"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-48" name="__codelineno-4-48" href="#__codelineno-4-48"></a>
|
||
<a id="__codelineno-4-49" name="__codelineno-4-49" href="#__codelineno-4-49"></a><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-4-50" name="__codelineno-4-50" href="#__codelineno-4-50"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="p">)</span><span class="w"> </span><span class="nx">removeVertex</span><span class="p">(</span><span class="nx">index</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-51" name="__codelineno-4-51" href="#__codelineno-4-51"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="nx">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-52" name="__codelineno-4-52" href="#__codelineno-4-52"></a><span class="w"> </span><span class="k">return</span>
|
||
<a id="__codelineno-4-53" name="__codelineno-4-53" href="#__codelineno-4-53"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-54" name="__codelineno-4-54" href="#__codelineno-4-54"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-4-55" name="__codelineno-4-55" href="#__codelineno-4-55"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="p">[:</span><span class="nx">index</span><span class="p">],</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="p">[</span><span class="nx">index</span><span class="o">+</span><span class="mi">1</span><span class="p">:]...)</span>
|
||
<a id="__codelineno-4-56" name="__codelineno-4-56" href="#__codelineno-4-56"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-4-57" name="__codelineno-4-57" href="#__codelineno-4-57"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[:</span><span class="nx">index</span><span class="p">],</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">index</span><span class="o">+</span><span class="mi">1</span><span class="p">:]...)</span>
|
||
<a id="__codelineno-4-58" name="__codelineno-4-58" href="#__codelineno-4-58"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-4-59" name="__codelineno-4-59" href="#__codelineno-4-59"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-60" name="__codelineno-4-60" href="#__codelineno-4-60"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][:</span><span class="nx">index</span><span class="p">],</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">index</span><span class="o">+</span><span class="mi">1</span><span class="p">:]...)</span>
|
||
<a id="__codelineno-4-61" name="__codelineno-4-61" href="#__codelineno-4-61"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-62" name="__codelineno-4-62" href="#__codelineno-4-62"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-63" name="__codelineno-4-63" href="#__codelineno-4-63"></a>
|
||
<a id="__codelineno-4-64" name="__codelineno-4-64" href="#__codelineno-4-64"></a><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-4-65" name="__codelineno-4-65" href="#__codelineno-4-65"></a><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-4-66" name="__codelineno-4-66" href="#__codelineno-4-66"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="p">)</span><span class="w"> </span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">i</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-67" name="__codelineno-4-67" href="#__codelineno-4-67"></a><span class="w"> </span><span class="c1">// Check for out-of-bounds or equal indices (the constructed error is not returned)</span>
|
||
<a id="__codelineno-4-68" name="__codelineno-4-68" href="#__codelineno-4-68"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-69" name="__codelineno-4-69" href="#__codelineno-4-69"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Errorf</span><span class="p">(</span><span class="s">"%s"</span><span class="p">,</span><span class="w"> </span><span class="s">"Index out of bounds"</span><span class="p">)</span>
|
||
<a id="__codelineno-4-70" name="__codelineno-4-70" href="#__codelineno-4-70"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-71" name="__codelineno-4-71" href="#__codelineno-4-71"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-4-72" name="__codelineno-4-72" href="#__codelineno-4-72"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span>
|
||
<a id="__codelineno-4-73" name="__codelineno-4-73" href="#__codelineno-4-73"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">j</span><span class="p">][</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span>
|
||
<a id="__codelineno-4-74" name="__codelineno-4-74" href="#__codelineno-4-74"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-75" name="__codelineno-4-75" href="#__codelineno-4-75"></a>
|
||
<a id="__codelineno-4-76" name="__codelineno-4-76" href="#__codelineno-4-76"></a><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-4-77" name="__codelineno-4-77" href="#__codelineno-4-77"></a><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-4-78" name="__codelineno-4-78" href="#__codelineno-4-78"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="p">)</span><span class="w"> </span><span class="nx">removeEdge</span><span class="p">(</span><span class="nx">i</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="kt">int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-79" name="__codelineno-4-79" href="#__codelineno-4-79"></a><span class="w"> </span><span class="c1">// Check for out-of-bounds or equal indices (the constructed error is not returned)</span>
|
||
<a id="__codelineno-4-80" name="__codelineno-4-80" href="#__codelineno-4-80"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-81" name="__codelineno-4-81" href="#__codelineno-4-81"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Errorf</span><span class="p">(</span><span class="s">"%s"</span><span class="p">,</span><span class="w"> </span><span class="s">"Index out of bounds"</span><span class="p">)</span>
|
||
<a id="__codelineno-4-82" name="__codelineno-4-82" href="#__codelineno-4-82"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-83" name="__codelineno-4-83" href="#__codelineno-4-83"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span>
|
||
<a id="__codelineno-4-84" name="__codelineno-4-84" href="#__codelineno-4-84"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">j</span><span class="p">][</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span>
|
||
<a id="__codelineno-4-85" name="__codelineno-4-85" href="#__codelineno-4-85"></a><span class="p">}</span>
|
||
<a id="__codelineno-4-86" name="__codelineno-4-86" href="#__codelineno-4-86"></a>
|
||
<a id="__codelineno-4-87" name="__codelineno-4-87" href="#__codelineno-4-87"></a><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-4-88" name="__codelineno-4-88" href="#__codelineno-4-88"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjMat</span><span class="p">)</span><span class="w"> </span><span class="nb">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-89" name="__codelineno-4-89" href="#__codelineno-4-89"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Printf</span><span class="p">(</span><span class="s">"\tVertex list = %v\n"</span><span class="p">,</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-4-90" name="__codelineno-4-90" href="#__codelineno-4-90"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Printf</span><span class="p">(</span><span class="s">"\tAdjacency matrix = \n"</span><span class="p">)</span>
|
||
<a id="__codelineno-4-91" name="__codelineno-4-91" href="#__codelineno-4-91"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-4-92" name="__codelineno-4-92" href="#__codelineno-4-92"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Printf</span><span class="p">(</span><span class="s">"\t\t\t%v\n"</span><span class="p">,</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">])</span>
|
||
<a id="__codelineno-4-93" name="__codelineno-4-93" href="#__codelineno-4-93"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-4-94" name="__codelineno-4-94" href="#__codelineno-4-94"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.swift</span><pre><span></span><code><a id="__codelineno-5-1" name="__codelineno-5-1" href="#__codelineno-5-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-5-2" name="__codelineno-5-2" href="#__codelineno-5-2"></a><span class="kd">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-3" name="__codelineno-5-3" href="#__codelineno-5-3"></a><span class="w"> </span><span class="kd">private</span><span class="w"> </span><span class="kd">var</span><span class="w"> </span><span class="nv">vertices</span><span class="p">:</span><span class="w"> </span><span class="p">[</span><span class="nb">Int</span><span class="p">]</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-5-4" name="__codelineno-5-4" href="#__codelineno-5-4"></a><span class="w"> </span><span class="kd">private</span><span class="w"> </span><span class="kd">var</span><span class="w"> </span><span class="nv">adjMat</span><span class="p">:</span><span class="w"> </span><span class="p">[[</span><span class="nb">Int</span><span class="p">]]</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-5-5" name="__codelineno-5-5" href="#__codelineno-5-5"></a>
|
||
<a id="__codelineno-5-6" name="__codelineno-5-6" href="#__codelineno-5-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-5-7" name="__codelineno-5-7" href="#__codelineno-5-7"></a><span class="w"> </span><span class="kd">init</span><span class="p">(</span><span class="n">vertices</span><span class="p">:</span><span class="w"> </span><span class="p">[</span><span class="nb">Int</span><span class="p">],</span><span class="w"> </span><span class="n">edges</span><span class="p">:</span><span class="w"> </span><span class="p">[[</span><span class="nb">Int</span><span class="p">]])</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-8" name="__codelineno-5-8" href="#__codelineno-5-8"></a><span class="w"> </span><span class="kc">self</span><span class="p">.</span><span class="n">vertices</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[]</span>
|
||
<a id="__codelineno-5-9" name="__codelineno-5-9" href="#__codelineno-5-9"></a><span class="w"> </span><span class="n">adjMat</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[]</span>
|
||
<a id="__codelineno-5-10" name="__codelineno-5-10" href="#__codelineno-5-10"></a><span class="w"> </span><span class="c1">// Add all vertices</span>
|
||
<a id="__codelineno-5-11" name="__codelineno-5-11" href="#__codelineno-5-11"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">vertices</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-12" name="__codelineno-5-12" href="#__codelineno-5-12"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">val</span><span class="p">:</span><span class="w"> </span><span class="n">val</span><span class="p">)</span>
|
||
<a id="__codelineno-5-13" name="__codelineno-5-13" href="#__codelineno-5-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-14" name="__codelineno-5-14" href="#__codelineno-5-14"></a><span class="w"> </span><span class="c1">// Add all edges</span>
|
||
<a id="__codelineno-5-15" name="__codelineno-5-15" href="#__codelineno-5-15"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-5-16" name="__codelineno-5-16" href="#__codelineno-5-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-17" name="__codelineno-5-17" href="#__codelineno-5-17"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="n">e</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="n">e</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-5-18" name="__codelineno-5-18" href="#__codelineno-5-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-19" name="__codelineno-5-19" href="#__codelineno-5-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-20" name="__codelineno-5-20" href="#__codelineno-5-20"></a>
|
||
<a id="__codelineno-5-21" name="__codelineno-5-21" href="#__codelineno-5-21"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-5-22" name="__codelineno-5-22" href="#__codelineno-5-22"></a><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">size</span><span class="p">()</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="nb">Int</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-23" name="__codelineno-5-23" href="#__codelineno-5-23"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="bp">count</span>
|
||
<a id="__codelineno-5-24" name="__codelineno-5-24" href="#__codelineno-5-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-25" name="__codelineno-5-25" href="#__codelineno-5-25"></a>
|
||
<a id="__codelineno-5-26" name="__codelineno-5-26" href="#__codelineno-5-26"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-5-27" name="__codelineno-5-27" href="#__codelineno-5-27"></a><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">val</span><span class="p">:</span><span class="w"> </span><span class="nb">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-28" name="__codelineno-5-28" href="#__codelineno-5-28"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nv">n</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span>
|
||
<a id="__codelineno-5-29" name="__codelineno-5-29" href="#__codelineno-5-29"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-5-30" name="__codelineno-5-30" href="#__codelineno-5-30"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">append</span><span class="p">(</span><span class="n">val</span><span class="p">)</span>
|
||
<a id="__codelineno-5-31" name="__codelineno-5-31" href="#__codelineno-5-31"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-5-32" name="__codelineno-5-32" href="#__codelineno-5-32"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nv">newRow</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="nb">Array</span><span class="p">(</span><span class="n">repeating</span><span class="p">:</span><span class="w"> </span><span class="mi">0</span><span class="p">,</span><span class="w"> </span><span class="bp">count</span><span class="p">:</span><span class="w"> </span><span class="n">n</span><span class="p">)</span>
|
||
<a id="__codelineno-5-33" name="__codelineno-5-33" href="#__codelineno-5-33"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">append</span><span class="p">(</span><span class="n">newRow</span><span class="p">)</span>
|
||
<a id="__codelineno-5-34" name="__codelineno-5-34" href="#__codelineno-5-34"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-5-35" name="__codelineno-5-35" href="#__codelineno-5-35"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="bp">indices</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-36" name="__codelineno-5-36" href="#__codelineno-5-36"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">].</span><span class="n">append</span><span class="p">(</span><span class="mi">0</span><span class="p">)</span>
|
||
<a id="__codelineno-5-37" name="__codelineno-5-37" href="#__codelineno-5-37"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-38" name="__codelineno-5-38" href="#__codelineno-5-38"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-39" name="__codelineno-5-39" href="#__codelineno-5-39"></a>
|
||
<a id="__codelineno-5-40" name="__codelineno-5-40" href="#__codelineno-5-40"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-5-41" name="__codelineno-5-41" href="#__codelineno-5-41"></a><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">index</span><span class="p">:</span><span class="w"> </span><span class="nb">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-42" name="__codelineno-5-42" href="#__codelineno-5-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-43" name="__codelineno-5-43" href="#__codelineno-5-43"></a><span class="w"> </span><span class="bp">fatalError</span><span class="p">(</span><span class="s">"Invalid index"</span><span class="p">)</span>
|
||
<a id="__codelineno-5-44" name="__codelineno-5-44" href="#__codelineno-5-44"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-45" name="__codelineno-5-45" href="#__codelineno-5-45"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-5-46" name="__codelineno-5-46" href="#__codelineno-5-46"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">at</span><span class="p">:</span><span class="w"> </span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-5-47" name="__codelineno-5-47" href="#__codelineno-5-47"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-5-48" name="__codelineno-5-48" href="#__codelineno-5-48"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">at</span><span class="p">:</span><span class="w"> </span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-5-49" name="__codelineno-5-49" href="#__codelineno-5-49"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-5-50" name="__codelineno-5-50" href="#__codelineno-5-50"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="bp">indices</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-51" name="__codelineno-5-51" href="#__codelineno-5-51"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">].</span><span class="n">remove</span><span class="p">(</span><span class="n">at</span><span class="p">:</span><span class="w"> </span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-5-52" name="__codelineno-5-52" href="#__codelineno-5-52"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-53" name="__codelineno-5-53" href="#__codelineno-5-53"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-54" name="__codelineno-5-54" href="#__codelineno-5-54"></a>
|
||
<a id="__codelineno-5-55" name="__codelineno-5-55" href="#__codelineno-5-55"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-5-56" name="__codelineno-5-56" href="#__codelineno-5-56"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-5-57" name="__codelineno-5-57" href="#__codelineno-5-57"></a><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="nb">Int</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="nb">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-58" name="__codelineno-5-58" href="#__codelineno-5-58"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-5-59" name="__codelineno-5-59" href="#__codelineno-5-59"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-60" name="__codelineno-5-60" href="#__codelineno-5-60"></a><span class="w"> </span><span class="bp">fatalError</span><span class="p">(</span><span class="s">"Invalid index"</span><span class="p">)</span>
|
||
<a id="__codelineno-5-61" name="__codelineno-5-61" href="#__codelineno-5-61"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-62" name="__codelineno-5-62" href="#__codelineno-5-62"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-5-63" name="__codelineno-5-63" href="#__codelineno-5-63"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="mi">1</span>
|
||
<a id="__codelineno-5-64" name="__codelineno-5-64" href="#__codelineno-5-64"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="mi">1</span>
|
||
<a id="__codelineno-5-65" name="__codelineno-5-65" href="#__codelineno-5-65"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-66" name="__codelineno-5-66" href="#__codelineno-5-66"></a>
|
||
<a id="__codelineno-5-67" name="__codelineno-5-67" href="#__codelineno-5-67"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-5-68" name="__codelineno-5-68" href="#__codelineno-5-68"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-5-69" name="__codelineno-5-69" href="#__codelineno-5-69"></a><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="nb">Int</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="nb">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-70" name="__codelineno-5-70" href="#__codelineno-5-70"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-5-71" name="__codelineno-5-71" href="#__codelineno-5-71"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-72" name="__codelineno-5-72" href="#__codelineno-5-72"></a><span class="w"> </span><span class="bp">fatalError</span><span class="p">(</span><span class="s">"Invalid index"</span><span class="p">)</span>
|
||
<a id="__codelineno-5-73" name="__codelineno-5-73" href="#__codelineno-5-73"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-74" name="__codelineno-5-74" href="#__codelineno-5-74"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="mi">0</span>
|
||
<a id="__codelineno-5-75" name="__codelineno-5-75" href="#__codelineno-5-75"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="mi">0</span>
|
||
<a id="__codelineno-5-76" name="__codelineno-5-76" href="#__codelineno-5-76"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-77" name="__codelineno-5-77" href="#__codelineno-5-77"></a>
|
||
<a id="__codelineno-5-78" name="__codelineno-5-78" href="#__codelineno-5-78"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-5-79" name="__codelineno-5-79" href="#__codelineno-5-79"></a><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-5-80" name="__codelineno-5-80" href="#__codelineno-5-80"></a><span class="w"> </span><span class="n">Swift</span><span class="p">.</span><span class="bp">print</span><span class="p">(</span><span class="s">"Vertex list = "</span><span class="p">,</span><span class="w"> </span><span class="n">terminator</span><span class="p">:</span><span class="w"> </span><span class="s">""</span><span class="p">)</span>
|
||
<a id="__codelineno-5-81" name="__codelineno-5-81" href="#__codelineno-5-81"></a><span class="w"> </span><span class="n">Swift</span><span class="p">.</span><span class="bp">print</span><span class="p">(</span><span class="n">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-5-82" name="__codelineno-5-82" href="#__codelineno-5-82"></a><span class="w"> </span><span class="n">Swift</span><span class="p">.</span><span class="bp">print</span><span class="p">(</span><span class="s">"Adjacency matrix ="</span><span class="p">)</span>
|
||
<a id="__codelineno-5-83" name="__codelineno-5-83" href="#__codelineno-5-83"></a><span class="w"> </span><span class="n">PrintUtil</span><span class="p">.</span><span class="n">printMatrix</span><span class="p">(</span><span class="n">matrix</span><span class="p">:</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span>
|
||
<a id="__codelineno-5-84" name="__codelineno-5-84" href="#__codelineno-5-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-5-85" name="__codelineno-5-85" href="#__codelineno-5-85"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.js</span><pre><span></span><code><a id="__codelineno-6-1" name="__codelineno-6-1" href="#__codelineno-6-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-6-2" name="__codelineno-6-2" href="#__codelineno-6-2"></a><span class="kd">class</span><span class="w"> </span><span class="nx">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-3" name="__codelineno-6-3" href="#__codelineno-6-3"></a><span class="w"> </span><span class="nx">vertices</span><span class="p">;</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-6-4" name="__codelineno-6-4" href="#__codelineno-6-4"></a><span class="w"> </span><span class="nx">adjMat</span><span class="p">;</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-6-5" name="__codelineno-6-5" href="#__codelineno-6-5"></a>
|
||
<a id="__codelineno-6-6" name="__codelineno-6-6" href="#__codelineno-6-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-6-7" name="__codelineno-6-7" href="#__codelineno-6-7"></a><span class="w"> </span><span class="kr">constructor</span><span class="p">(</span><span class="nx">vertices</span><span class="p">,</span><span class="w"> </span><span class="nx">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-8" name="__codelineno-6-8" href="#__codelineno-6-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-6-9" name="__codelineno-6-9" href="#__codelineno-6-9"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-6-10" name="__codelineno-6-10" href="#__codelineno-6-10"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-6-11" name="__codelineno-6-11" href="#__codelineno-6-11"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">val</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-12" name="__codelineno-6-12" href="#__codelineno-6-12"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">val</span><span class="p">);</span>
|
||
<a id="__codelineno-6-13" name="__codelineno-6-13" href="#__codelineno-6-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-14" name="__codelineno-6-14" href="#__codelineno-6-14"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-6-15" name="__codelineno-6-15" href="#__codelineno-6-15"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-6-16" name="__codelineno-6-16" href="#__codelineno-6-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">e</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-17" name="__codelineno-6-17" href="#__codelineno-6-17"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">e</span><span class="p">[</span><span class="mf">0</span><span class="p">],</span><span class="w"> </span><span class="nx">e</span><span class="p">[</span><span class="mf">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-6-18" name="__codelineno-6-18" href="#__codelineno-6-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-19" name="__codelineno-6-19" href="#__codelineno-6-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-20" name="__codelineno-6-20" href="#__codelineno-6-20"></a>
|
||
<a id="__codelineno-6-21" name="__codelineno-6-21" href="#__codelineno-6-21"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-6-22" name="__codelineno-6-22" href="#__codelineno-6-22"></a><span class="w"> </span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-23" name="__codelineno-6-23" href="#__codelineno-6-23"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">.</span><span class="nx">length</span><span class="p">;</span>
|
||
<a id="__codelineno-6-24" name="__codelineno-6-24" href="#__codelineno-6-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-25" name="__codelineno-6-25" href="#__codelineno-6-25"></a>
|
||
<a id="__codelineno-6-26" name="__codelineno-6-26" href="#__codelineno-6-26"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-6-27" name="__codelineno-6-27" href="#__codelineno-6-27"></a><span class="w"> </span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-28" name="__codelineno-6-28" href="#__codelineno-6-28"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">();</span>
|
||
<a id="__codelineno-6-29" name="__codelineno-6-29" href="#__codelineno-6-29"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-6-30" name="__codelineno-6-30" href="#__codelineno-6-30"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="nx">val</span><span class="p">);</span>
|
||
<a id="__codelineno-6-31" name="__codelineno-6-31" href="#__codelineno-6-31"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-6-32" name="__codelineno-6-32" href="#__codelineno-6-32"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">newRow</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-6-33" name="__codelineno-6-33" href="#__codelineno-6-33"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="nx">n</span><span class="p">;</span><span class="w"> </span><span class="nx">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-34" name="__codelineno-6-34" href="#__codelineno-6-34"></a><span class="w"> </span><span class="nx">newRow</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
|
||
<a id="__codelineno-6-35" name="__codelineno-6-35" href="#__codelineno-6-35"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-36" name="__codelineno-6-36" href="#__codelineno-6-36"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="nx">newRow</span><span class="p">);</span>
|
||
<a id="__codelineno-6-37" name="__codelineno-6-37" href="#__codelineno-6-37"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-6-38" name="__codelineno-6-38" href="#__codelineno-6-38"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">row</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-39" name="__codelineno-6-39" href="#__codelineno-6-39"></a><span class="w"> </span><span class="nx">row</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
|
||
<a id="__codelineno-6-40" name="__codelineno-6-40" href="#__codelineno-6-40"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-41" name="__codelineno-6-41" href="#__codelineno-6-41"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-42" name="__codelineno-6-42" href="#__codelineno-6-42"></a>
|
||
<a id="__codelineno-6-43" name="__codelineno-6-43" href="#__codelineno-6-43"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-6-44" name="__codelineno-6-44" href="#__codelineno-6-44"></a><span class="w"> </span><span class="nx">removeVertex</span><span class="p">(</span><span class="nx">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-45" name="__codelineno-6-45" href="#__codelineno-6-45"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-46" name="__codelineno-6-46" href="#__codelineno-6-46"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">RangeError</span><span class="p">(</span><span class="s1">'Index out of bounds'</span><span class="p">);</span>
|
||
<a id="__codelineno-6-47" name="__codelineno-6-47" href="#__codelineno-6-47"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-48" name="__codelineno-6-48" href="#__codelineno-6-48"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-6-49" name="__codelineno-6-49" href="#__codelineno-6-49"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-6-50" name="__codelineno-6-50" href="#__codelineno-6-50"></a>
|
||
<a id="__codelineno-6-51" name="__codelineno-6-51" href="#__codelineno-6-51"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-6-52" name="__codelineno-6-52" href="#__codelineno-6-52"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-6-53" name="__codelineno-6-53" href="#__codelineno-6-53"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-6-54" name="__codelineno-6-54" href="#__codelineno-6-54"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">row</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-55" name="__codelineno-6-55" href="#__codelineno-6-55"></a><span class="w"> </span><span class="nx">row</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-6-56" name="__codelineno-6-56" href="#__codelineno-6-56"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-57" name="__codelineno-6-57" href="#__codelineno-6-57"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-58" name="__codelineno-6-58" href="#__codelineno-6-58"></a>
|
||
<a id="__codelineno-6-59" name="__codelineno-6-59" href="#__codelineno-6-59"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-6-60" name="__codelineno-6-60" href="#__codelineno-6-60"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-6-61" name="__codelineno-6-61" href="#__codelineno-6-61"></a><span class="w"> </span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">i</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-62" name="__codelineno-6-62" href="#__codelineno-6-62"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-6-63" name="__codelineno-6-63" href="#__codelineno-6-63"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-64" name="__codelineno-6-64" href="#__codelineno-6-64"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">RangeError</span><span class="p">(</span><span class="s1">'Index out of bounds'</span><span class="p">);</span>
|
||
<a id="__codelineno-6-65" name="__codelineno-6-65" href="#__codelineno-6-65"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-66" name="__codelineno-6-66" href="#__codelineno-6-66"></a><span class="w"> </span><span class="c1">// In an undirected graph, the adjacency matrix is symmetric about its main diagonal: (i, j) === (j, i)</span>
|
||
<a id="__codelineno-6-67" name="__codelineno-6-67" href="#__codelineno-6-67"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span>
|
||
<a id="__codelineno-6-68" name="__codelineno-6-68" href="#__codelineno-6-68"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">j</span><span class="p">][</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span>
|
||
<a id="__codelineno-6-69" name="__codelineno-6-69" href="#__codelineno-6-69"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-70" name="__codelineno-6-70" href="#__codelineno-6-70"></a>
|
||
<a id="__codelineno-6-71" name="__codelineno-6-71" href="#__codelineno-6-71"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-6-72" name="__codelineno-6-72" href="#__codelineno-6-72"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-6-73" name="__codelineno-6-73" href="#__codelineno-6-73"></a><span class="w"> </span><span class="nx">removeEdge</span><span class="p">(</span><span class="nx">i</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-74" name="__codelineno-6-74" href="#__codelineno-6-74"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-6-75" name="__codelineno-6-75" href="#__codelineno-6-75"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-76" name="__codelineno-6-76" href="#__codelineno-6-76"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">RangeError</span><span class="p">(</span><span class="s1">'Index out of bounds'</span><span class="p">);</span>
|
||
<a id="__codelineno-6-77" name="__codelineno-6-77" href="#__codelineno-6-77"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-78" name="__codelineno-6-78" href="#__codelineno-6-78"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span>
|
||
<a id="__codelineno-6-79" name="__codelineno-6-79" href="#__codelineno-6-79"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">j</span><span class="p">][</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span>
|
||
<a id="__codelineno-6-80" name="__codelineno-6-80" href="#__codelineno-6-80"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-81" name="__codelineno-6-81" href="#__codelineno-6-81"></a>
|
||
<a id="__codelineno-6-82" name="__codelineno-6-82" href="#__codelineno-6-82"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-6-83" name="__codelineno-6-83" href="#__codelineno-6-83"></a><span class="w"> </span><span class="nx">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-6-84" name="__codelineno-6-84" href="#__codelineno-6-84"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="s1">'Vertex list = '</span><span class="p">,</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">);</span>
|
||
<a id="__codelineno-6-85" name="__codelineno-6-85" href="#__codelineno-6-85"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="s1">'Adjacency matrix ='</span><span class="p">,</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">);</span>
|
||
<a id="__codelineno-6-86" name="__codelineno-6-86" href="#__codelineno-6-86"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-6-87" name="__codelineno-6-87" href="#__codelineno-6-87"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.ts</span><pre><span></span><code><a id="__codelineno-7-1" name="__codelineno-7-1" href="#__codelineno-7-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-7-2" name="__codelineno-7-2" href="#__codelineno-7-2"></a><span class="kd">class</span><span class="w"> </span><span class="nx">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-3" name="__codelineno-7-3" href="#__codelineno-7-3"></a><span class="w"> </span><span class="nx">vertices</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[];</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-7-4" name="__codelineno-7-4" href="#__codelineno-7-4"></a><span class="w"> </span><span class="nx">adjMat</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[][];</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-7-5" name="__codelineno-7-5" href="#__codelineno-7-5"></a>
|
||
<a id="__codelineno-7-6" name="__codelineno-7-6" href="#__codelineno-7-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-7-7" name="__codelineno-7-7" href="#__codelineno-7-7"></a><span class="w"> </span><span class="kr">constructor</span><span class="p">(</span><span class="nx">vertices</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[],</span><span class="w"> </span><span class="nx">edges</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[][])</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-8" name="__codelineno-7-8" href="#__codelineno-7-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-7-9" name="__codelineno-7-9" href="#__codelineno-7-9"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-7-10" name="__codelineno-7-10" href="#__codelineno-7-10"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-7-11" name="__codelineno-7-11" href="#__codelineno-7-11"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">val</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-12" name="__codelineno-7-12" href="#__codelineno-7-12"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">val</span><span class="p">);</span>
|
||
<a id="__codelineno-7-13" name="__codelineno-7-13" href="#__codelineno-7-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-14" name="__codelineno-7-14" href="#__codelineno-7-14"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-7-15" name="__codelineno-7-15" href="#__codelineno-7-15"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-7-16" name="__codelineno-7-16" href="#__codelineno-7-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">e</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-17" name="__codelineno-7-17" href="#__codelineno-7-17"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">e</span><span class="p">[</span><span class="mf">0</span><span class="p">],</span><span class="w"> </span><span class="nx">e</span><span class="p">[</span><span class="mf">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-7-18" name="__codelineno-7-18" href="#__codelineno-7-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-19" name="__codelineno-7-19" href="#__codelineno-7-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-20" name="__codelineno-7-20" href="#__codelineno-7-20"></a>
|
||
<a id="__codelineno-7-21" name="__codelineno-7-21" href="#__codelineno-7-21"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-7-22" name="__codelineno-7-22" href="#__codelineno-7-22"></a><span class="w"> </span><span class="nx">size</span><span class="p">()</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-23" name="__codelineno-7-23" href="#__codelineno-7-23"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">.</span><span class="nx">length</span><span class="p">;</span>
|
||
<a id="__codelineno-7-24" name="__codelineno-7-24" href="#__codelineno-7-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-25" name="__codelineno-7-25" href="#__codelineno-7-25"></a>
|
||
<a id="__codelineno-7-26" name="__codelineno-7-26" href="#__codelineno-7-26"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-7-27" name="__codelineno-7-27" href="#__codelineno-7-27"></a><span class="w"> </span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">val</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-28" name="__codelineno-7-28" href="#__codelineno-7-28"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">n</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">();</span>
|
||
<a id="__codelineno-7-29" name="__codelineno-7-29" href="#__codelineno-7-29"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-7-30" name="__codelineno-7-30" href="#__codelineno-7-30"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="nx">val</span><span class="p">);</span>
|
||
<a id="__codelineno-7-31" name="__codelineno-7-31" href="#__codelineno-7-31"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-7-32" name="__codelineno-7-32" href="#__codelineno-7-32"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">newRow</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">[]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-7-33" name="__codelineno-7-33" href="#__codelineno-7-33"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">let</span><span class="w"> </span><span class="nx">j</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="nx">n</span><span class="p">;</span><span class="w"> </span><span class="nx">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-34" name="__codelineno-7-34" href="#__codelineno-7-34"></a><span class="w"> </span><span class="nx">newRow</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
|
||
<a id="__codelineno-7-35" name="__codelineno-7-35" href="#__codelineno-7-35"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-36" name="__codelineno-7-36" href="#__codelineno-7-36"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="nx">newRow</span><span class="p">);</span>
|
||
<a id="__codelineno-7-37" name="__codelineno-7-37" href="#__codelineno-7-37"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-7-38" name="__codelineno-7-38" href="#__codelineno-7-38"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">row</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-39" name="__codelineno-7-39" href="#__codelineno-7-39"></a><span class="w"> </span><span class="nx">row</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="mf">0</span><span class="p">);</span>
|
||
<a id="__codelineno-7-40" name="__codelineno-7-40" href="#__codelineno-7-40"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-41" name="__codelineno-7-41" href="#__codelineno-7-41"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-42" name="__codelineno-7-42" href="#__codelineno-7-42"></a>
|
||
<a id="__codelineno-7-43" name="__codelineno-7-43" href="#__codelineno-7-43"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-7-44" name="__codelineno-7-44" href="#__codelineno-7-44"></a><span class="w"> </span><span class="nx">removeVertex</span><span class="p">(</span><span class="nx">index</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-45" name="__codelineno-7-45" href="#__codelineno-7-45"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-46" name="__codelineno-7-46" href="#__codelineno-7-46"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">RangeError</span><span class="p">(</span><span class="s1">'Index out of bounds'</span><span class="p">);</span>
|
||
<a id="__codelineno-7-47" name="__codelineno-7-47" href="#__codelineno-7-47"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-48" name="__codelineno-7-48" href="#__codelineno-7-48"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-7-49" name="__codelineno-7-49" href="#__codelineno-7-49"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-7-50" name="__codelineno-7-50" href="#__codelineno-7-50"></a>
|
||
<a id="__codelineno-7-51" name="__codelineno-7-51" href="#__codelineno-7-51"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-7-52" name="__codelineno-7-52" href="#__codelineno-7-52"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-7-53" name="__codelineno-7-53" href="#__codelineno-7-53"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-7-54" name="__codelineno-7-54" href="#__codelineno-7-54"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">row</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-55" name="__codelineno-7-55" href="#__codelineno-7-55"></a><span class="w"> </span><span class="nx">row</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-7-56" name="__codelineno-7-56" href="#__codelineno-7-56"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-57" name="__codelineno-7-57" href="#__codelineno-7-57"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-58" name="__codelineno-7-58" href="#__codelineno-7-58"></a>
|
||
<a id="__codelineno-7-59" name="__codelineno-7-59" href="#__codelineno-7-59"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-7-60" name="__codelineno-7-60" href="#__codelineno-7-60"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-7-61" name="__codelineno-7-61" href="#__codelineno-7-61"></a><span class="w"> </span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">i</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-62" name="__codelineno-7-62" href="#__codelineno-7-62"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-7-63" name="__codelineno-7-63" href="#__codelineno-7-63"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-64" name="__codelineno-7-64" href="#__codelineno-7-64"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">RangeError</span><span class="p">(</span><span class="s1">'Index out of bounds'</span><span class="p">);</span>
|
||
<a id="__codelineno-7-65" name="__codelineno-7-65" href="#__codelineno-7-65"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-66" name="__codelineno-7-66" href="#__codelineno-7-66"></a><span class="w"> </span><span class="c1">// In an undirected graph, the adjacency matrix is symmetric about its main diagonal: (i, j) === (j, i)</span>
|
||
<a id="__codelineno-7-67" name="__codelineno-7-67" href="#__codelineno-7-67"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span>
|
||
<a id="__codelineno-7-68" name="__codelineno-7-68" href="#__codelineno-7-68"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">j</span><span class="p">][</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">1</span><span class="p">;</span>
|
||
<a id="__codelineno-7-69" name="__codelineno-7-69" href="#__codelineno-7-69"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-70" name="__codelineno-7-70" href="#__codelineno-7-70"></a>
|
||
<a id="__codelineno-7-71" name="__codelineno-7-71" href="#__codelineno-7-71"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-7-72" name="__codelineno-7-72" href="#__codelineno-7-72"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-7-73" name="__codelineno-7-73" href="#__codelineno-7-73"></a><span class="w"> </span><span class="nx">removeEdge</span><span class="p">(</span><span class="nx">i</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">,</span><span class="w"> </span><span class="nx">j</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-74" name="__codelineno-7-74" href="#__codelineno-7-74"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-7-75" name="__codelineno-7-75" href="#__codelineno-7-75"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mf">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">i</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-76" name="__codelineno-7-76" href="#__codelineno-7-76"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">RangeError</span><span class="p">(</span><span class="s1">'Index out of bounds'</span><span class="p">);</span>
|
||
<a id="__codelineno-7-77" name="__codelineno-7-77" href="#__codelineno-7-77"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-78" name="__codelineno-7-78" href="#__codelineno-7-78"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">i</span><span class="p">][</span><span class="nx">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span>
|
||
<a id="__codelineno-7-79" name="__codelineno-7-79" href="#__codelineno-7-79"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">[</span><span class="nx">j</span><span class="p">][</span><span class="nx">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mf">0</span><span class="p">;</span>
|
||
<a id="__codelineno-7-80" name="__codelineno-7-80" href="#__codelineno-7-80"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-81" name="__codelineno-7-81" href="#__codelineno-7-81"></a>
|
||
<a id="__codelineno-7-82" name="__codelineno-7-82" href="#__codelineno-7-82"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-7-83" name="__codelineno-7-83" href="#__codelineno-7-83"></a><span class="w"> </span><span class="nx">print</span><span class="p">()</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-7-84" name="__codelineno-7-84" href="#__codelineno-7-84"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="s1">'Vertex list = '</span><span class="p">,</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">vertices</span><span class="p">);</span>
|
||
<a id="__codelineno-7-85" name="__codelineno-7-85" href="#__codelineno-7-85"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="s1">'Adjacency matrix ='</span><span class="p">,</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjMat</span><span class="p">);</span>
|
||
<a id="__codelineno-7-86" name="__codelineno-7-86" href="#__codelineno-7-86"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-7-87" name="__codelineno-7-87" href="#__codelineno-7-87"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.dart</span><pre><span></span><code><a id="__codelineno-8-1" name="__codelineno-8-1" href="#__codelineno-8-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-8-2" name="__codelineno-8-2" href="#__codelineno-8-2"></a><span class="kd">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-3" name="__codelineno-8-3" href="#__codelineno-8-3"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span><span class="w"> </span><span class="c1">// Vertex entries: each element is a vertex value, and its index is the vertex index</span>
|
||
<a id="__codelineno-8-4" name="__codelineno-8-4" href="#__codelineno-8-4"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">>></span><span class="w"> </span><span class="n">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span><span class="w"> </span><span class="c1">//Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-8-5" name="__codelineno-8-5" href="#__codelineno-8-5"></a>
|
||
<a id="__codelineno-8-6" name="__codelineno-8-6" href="#__codelineno-8-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-8-7" name="__codelineno-8-7" href="#__codelineno-8-7"></a><span class="w"> </span><span class="n">GraphAdjMat</span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">>></span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-8" name="__codelineno-8-8" href="#__codelineno-8-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="n">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-8-9" name="__codelineno-8-9" href="#__codelineno-8-9"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="n">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-8-10" name="__codelineno-8-10" href="#__codelineno-8-10"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-8-11" name="__codelineno-8-11" href="#__codelineno-8-11"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-12" name="__codelineno-8-12" href="#__codelineno-8-12"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-8-13" name="__codelineno-8-13" href="#__codelineno-8-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-14" name="__codelineno-8-14" href="#__codelineno-8-14"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-8-15" name="__codelineno-8-15" href="#__codelineno-8-15"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-8-16" name="__codelineno-8-16" href="#__codelineno-8-16"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-17" name="__codelineno-8-17" href="#__codelineno-8-17"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">e</span><span class="p">[</span><span class="m">0</span><span class="p">],</span><span class="w"> </span><span class="n">e</span><span class="p">[</span><span class="m">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-8-18" name="__codelineno-8-18" href="#__codelineno-8-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-19" name="__codelineno-8-19" href="#__codelineno-8-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-20" name="__codelineno-8-20" href="#__codelineno-8-20"></a>
|
||
<a id="__codelineno-8-21" name="__codelineno-8-21" href="#__codelineno-8-21"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-8-22" name="__codelineno-8-22" href="#__codelineno-8-22"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-23" name="__codelineno-8-23" href="#__codelineno-8-23"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">length</span><span class="p">;</span>
|
||
<a id="__codelineno-8-24" name="__codelineno-8-24" href="#__codelineno-8-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-25" name="__codelineno-8-25" href="#__codelineno-8-25"></a>
|
||
<a id="__codelineno-8-26" name="__codelineno-8-26" href="#__codelineno-8-26"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-8-27" name="__codelineno-8-27" href="#__codelineno-8-27"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-28" name="__codelineno-8-28" href="#__codelineno-8-28"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="p">();</span>
|
||
<a id="__codelineno-8-29" name="__codelineno-8-29" href="#__codelineno-8-29"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-8-30" name="__codelineno-8-30" href="#__codelineno-8-30"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">add</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-8-31" name="__codelineno-8-31" href="#__codelineno-8-31"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-8-32" name="__codelineno-8-32" href="#__codelineno-8-32"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">newRow</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">List</span><span class="p">.</span><span class="n">filled</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="m">0</span><span class="p">,</span><span class="w"> </span><span class="nl">growable:</span><span class="w"> </span><span class="kc">true</span><span class="p">);</span>
|
||
<a id="__codelineno-8-33" name="__codelineno-8-33" href="#__codelineno-8-33"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">add</span><span class="p">(</span><span class="n">newRow</span><span class="p">);</span>
|
||
<a id="__codelineno-8-34" name="__codelineno-8-34" href="#__codelineno-8-34"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-8-35" name="__codelineno-8-35" href="#__codelineno-8-35"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-36" name="__codelineno-8-36" href="#__codelineno-8-36"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">add</span><span class="p">(</span><span class="m">0</span><span class="p">);</span>
|
||
<a id="__codelineno-8-37" name="__codelineno-8-37" href="#__codelineno-8-37"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-38" name="__codelineno-8-38" href="#__codelineno-8-38"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-39" name="__codelineno-8-39" href="#__codelineno-8-39"></a>
|
||
<a id="__codelineno-8-40" name="__codelineno-8-40" href="#__codelineno-8-40"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-8-41" name="__codelineno-8-41" href="#__codelineno-8-41"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeVertex</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-42" name="__codelineno-8-42" href="#__codelineno-8-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-43" name="__codelineno-8-43" href="#__codelineno-8-43"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IndexError</span><span class="p">;</span>
|
||
<a id="__codelineno-8-44" name="__codelineno-8-44" href="#__codelineno-8-44"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-45" name="__codelineno-8-45" href="#__codelineno-8-45"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-8-46" name="__codelineno-8-46" href="#__codelineno-8-46"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="n">removeAt</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-8-47" name="__codelineno-8-47" href="#__codelineno-8-47"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-8-48" name="__codelineno-8-48" href="#__codelineno-8-48"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="n">removeAt</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-8-49" name="__codelineno-8-49" href="#__codelineno-8-49"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-8-50" name="__codelineno-8-50" href="#__codelineno-8-50"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-51" name="__codelineno-8-51" href="#__codelineno-8-51"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">removeAt</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-8-52" name="__codelineno-8-52" href="#__codelineno-8-52"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-53" name="__codelineno-8-53" href="#__codelineno-8-53"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-54" name="__codelineno-8-54" href="#__codelineno-8-54"></a>
|
||
<a id="__codelineno-8-55" name="__codelineno-8-55" href="#__codelineno-8-55"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-8-56" name="__codelineno-8-56" href="#__codelineno-8-56"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-8-57" name="__codelineno-8-57" href="#__codelineno-8-57"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-58" name="__codelineno-8-58" href="#__codelineno-8-58"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-8-59" name="__codelineno-8-59" href="#__codelineno-8-59"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-60" name="__codelineno-8-60" href="#__codelineno-8-60"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IndexError</span><span class="p">;</span>
|
||
<a id="__codelineno-8-61" name="__codelineno-8-61" href="#__codelineno-8-61"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-62" name="__codelineno-8-62" href="#__codelineno-8-62"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-8-63" name="__codelineno-8-63" href="#__codelineno-8-63"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">1</span><span class="p">;</span>
|
||
<a id="__codelineno-8-64" name="__codelineno-8-64" href="#__codelineno-8-64"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">1</span><span class="p">;</span>
|
||
<a id="__codelineno-8-65" name="__codelineno-8-65" href="#__codelineno-8-65"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-66" name="__codelineno-8-66" href="#__codelineno-8-66"></a>
|
||
<a id="__codelineno-8-67" name="__codelineno-8-67" href="#__codelineno-8-67"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-8-68" name="__codelineno-8-68" href="#__codelineno-8-68"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-8-69" name="__codelineno-8-69" href="#__codelineno-8-69"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeEdge</span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-70" name="__codelineno-8-70" href="#__codelineno-8-70"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-8-71" name="__codelineno-8-71" href="#__codelineno-8-71"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-72" name="__codelineno-8-72" href="#__codelineno-8-72"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IndexError</span><span class="p">;</span>
|
||
<a id="__codelineno-8-73" name="__codelineno-8-73" href="#__codelineno-8-73"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-74" name="__codelineno-8-74" href="#__codelineno-8-74"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span><span class="p">;</span>
|
||
<a id="__codelineno-8-75" name="__codelineno-8-75" href="#__codelineno-8-75"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span><span class="p">;</span>
|
||
<a id="__codelineno-8-76" name="__codelineno-8-76" href="#__codelineno-8-76"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-77" name="__codelineno-8-77" href="#__codelineno-8-77"></a>
|
||
<a id="__codelineno-8-78" name="__codelineno-8-78" href="#__codelineno-8-78"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-8-79" name="__codelineno-8-79" href="#__codelineno-8-79"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">printAdjMat</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-8-80" name="__codelineno-8-80" href="#__codelineno-8-80"></a><span class="w"> </span><span class="n">print</span><span class="p">(</span><span class="s2">"Vertex list = </span><span class="si">$</span><span class="n">vertices</span><span class="s2">"</span><span class="p">);</span>
|
||
<a id="__codelineno-8-81" name="__codelineno-8-81" href="#__codelineno-8-81"></a><span class="w"> </span><span class="n">print</span><span class="p">(</span><span class="s2">"Adjacency matrix = "</span><span class="p">);</span>
|
||
<a id="__codelineno-8-82" name="__codelineno-8-82" href="#__codelineno-8-82"></a><span class="w"> </span><span class="n">printMatrix</span><span class="p">(</span><span class="n">adjMat</span><span class="p">);</span>
|
||
<a id="__codelineno-8-83" name="__codelineno-8-83" href="#__codelineno-8-83"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-8-84" name="__codelineno-8-84" href="#__codelineno-8-84"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.rs</span><pre><span></span><code><a id="__codelineno-9-1" name="__codelineno-9-1" href="#__codelineno-9-1"></a><span class="cm">/* Undirected graph type implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-9-2" name="__codelineno-9-2" href="#__codelineno-9-2"></a><span class="k">pub</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-3" name="__codelineno-9-3" href="#__codelineno-9-3"></a><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-9-4" name="__codelineno-9-4" href="#__codelineno-9-4"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="n">vertices</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">,</span>
|
||
<a id="__codelineno-9-5" name="__codelineno-9-5" href="#__codelineno-9-5"></a><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-9-6" name="__codelineno-9-6" href="#__codelineno-9-6"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="n">adj_mat</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">>></span><span class="p">,</span>
|
||
<a id="__codelineno-9-7" name="__codelineno-9-7" href="#__codelineno-9-7"></a><span class="p">}</span>
|
||
<a id="__codelineno-9-8" name="__codelineno-9-8" href="#__codelineno-9-8"></a>
|
||
<a id="__codelineno-9-9" name="__codelineno-9-9" href="#__codelineno-9-9"></a><span class="k">impl</span><span class="w"> </span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-10" name="__codelineno-9-10" href="#__codelineno-9-10"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-9-11" name="__codelineno-9-11" href="#__codelineno-9-11"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">new</span><span class="p">(</span><span class="n">vertices</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">></span><span class="p">,</span><span class="w"> </span><span class="n">edges</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="p">[</span><span class="kt">usize</span><span class="p">;</span><span class="w"> </span><span class="mi">2</span><span class="p">]</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="nc">Self</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-12" name="__codelineno-9-12" href="#__codelineno-9-12"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">graph</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-13" name="__codelineno-9-13" href="#__codelineno-9-13"></a><span class="w"> </span><span class="n">vertices</span><span class="p">:</span><span class="w"> </span><span class="nc">vec</span><span class="o">!</span><span class="p">[],</span>
|
||
<a id="__codelineno-9-14" name="__codelineno-9-14" href="#__codelineno-9-14"></a><span class="w"> </span><span class="n">adj_mat</span><span class="p">:</span><span class="w"> </span><span class="nc">vec</span><span class="o">!</span><span class="p">[],</span>
|
||
<a id="__codelineno-9-15" name="__codelineno-9-15" href="#__codelineno-9-15"></a><span class="w"> </span><span class="p">};</span>
|
||
<a id="__codelineno-9-16" name="__codelineno-9-16" href="#__codelineno-9-16"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-9-17" name="__codelineno-9-17" href="#__codelineno-9-17"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">val</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">vertices</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-18" name="__codelineno-9-18" href="#__codelineno-9-18"></a><span class="w"> </span><span class="n">graph</span><span class="p">.</span><span class="n">add_vertex</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-9-19" name="__codelineno-9-19" href="#__codelineno-9-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-20" name="__codelineno-9-20" href="#__codelineno-9-20"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-9-21" name="__codelineno-9-21" href="#__codelineno-9-21"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-9-22" name="__codelineno-9-22" href="#__codelineno-9-22"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-23" name="__codelineno-9-23" href="#__codelineno-9-23"></a><span class="w"> </span><span class="n">graph</span><span class="p">.</span><span class="n">add_edge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-9-24" name="__codelineno-9-24" href="#__codelineno-9-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-25" name="__codelineno-9-25" href="#__codelineno-9-25"></a>
|
||
<a id="__codelineno-9-26" name="__codelineno-9-26" href="#__codelineno-9-26"></a><span class="w"> </span><span class="n">graph</span>
|
||
<a id="__codelineno-9-27" name="__codelineno-9-27" href="#__codelineno-9-27"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-28" name="__codelineno-9-28" href="#__codelineno-9-28"></a>
|
||
<a id="__codelineno-9-29" name="__codelineno-9-29" href="#__codelineno-9-29"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-9-30" name="__codelineno-9-30" href="#__codelineno-9-30"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">size</span><span class="p">(</span><span class="o">&</span><span class="bp">self</span><span class="p">)</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="kt">usize</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-31" name="__codelineno-9-31" href="#__codelineno-9-31"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">vertices</span><span class="p">.</span><span class="n">len</span><span class="p">()</span>
|
||
<a id="__codelineno-9-32" name="__codelineno-9-32" href="#__codelineno-9-32"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-33" name="__codelineno-9-33" href="#__codelineno-9-33"></a>
|
||
<a id="__codelineno-9-34" name="__codelineno-9-34" href="#__codelineno-9-34"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-9-35" name="__codelineno-9-35" href="#__codelineno-9-35"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">add_vertex</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">val</span><span class="p">:</span><span class="w"> </span><span class="kt">i32</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-36" name="__codelineno-9-36" href="#__codelineno-9-36"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">size</span><span class="p">();</span>
|
||
<a id="__codelineno-9-37" name="__codelineno-9-37" href="#__codelineno-9-37"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-9-38" name="__codelineno-9-38" href="#__codelineno-9-38"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">vertices</span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-9-39" name="__codelineno-9-39" href="#__codelineno-9-39"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-9-40" name="__codelineno-9-40" href="#__codelineno-9-40"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="fm">vec!</span><span class="p">[</span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">n</span><span class="p">]);</span>
|
||
<a id="__codelineno-9-41" name="__codelineno-9-41" href="#__codelineno-9-41"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-9-42" name="__codelineno-9-42" href="#__codelineno-9-42"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">.</span><span class="n">iter_mut</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-43" name="__codelineno-9-43" href="#__codelineno-9-43"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">push</span><span class="p">(</span><span class="mi">0</span><span class="p">);</span>
|
||
<a id="__codelineno-9-44" name="__codelineno-9-44" href="#__codelineno-9-44"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-45" name="__codelineno-9-45" href="#__codelineno-9-45"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-46" name="__codelineno-9-46" href="#__codelineno-9-46"></a>
|
||
<a id="__codelineno-9-47" name="__codelineno-9-47" href="#__codelineno-9-47"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-9-48" name="__codelineno-9-48" href="#__codelineno-9-48"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">remove_vertex</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">index</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-49" name="__codelineno-9-49" href="#__codelineno-9-49"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-50" name="__codelineno-9-50" href="#__codelineno-9-50"></a><span class="w"> </span><span class="fm">panic!</span><span class="p">(</span><span class="s">"Invalid vertex index"</span><span class="p">)</span>
|
||
<a id="__codelineno-9-51" name="__codelineno-9-51" href="#__codelineno-9-51"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-52" name="__codelineno-9-52" href="#__codelineno-9-52"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-9-53" name="__codelineno-9-53" href="#__codelineno-9-53"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">vertices</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-9-54" name="__codelineno-9-54" href="#__codelineno-9-54"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-9-55" name="__codelineno-9-55" href="#__codelineno-9-55"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-9-56" name="__codelineno-9-56" href="#__codelineno-9-56"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-9-57" name="__codelineno-9-57" href="#__codelineno-9-57"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">.</span><span class="n">iter_mut</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-58" name="__codelineno-9-58" href="#__codelineno-9-58"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">index</span><span class="p">);</span>
|
||
<a id="__codelineno-9-59" name="__codelineno-9-59" href="#__codelineno-9-59"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-60" name="__codelineno-9-60" href="#__codelineno-9-60"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-61" name="__codelineno-9-61" href="#__codelineno-9-61"></a>
|
||
<a id="__codelineno-9-62" name="__codelineno-9-62" href="#__codelineno-9-62"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-9-63" name="__codelineno-9-63" href="#__codelineno-9-63"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">add_edge</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-64" name="__codelineno-9-64" href="#__codelineno-9-64"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-9-65" name="__codelineno-9-65" href="#__codelineno-9-65"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-9-66" name="__codelineno-9-66" href="#__codelineno-9-66"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-67" name="__codelineno-9-67" href="#__codelineno-9-67"></a><span class="w"> </span><span class="fm">panic!</span><span class="p">(</span><span class="s">"Invalid vertex index"</span><span class="p">)</span>
|
||
<a id="__codelineno-9-68" name="__codelineno-9-68" href="#__codelineno-9-68"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-69" name="__codelineno-9-69" href="#__codelineno-9-69"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-9-70" name="__codelineno-9-70" href="#__codelineno-9-70"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-9-71" name="__codelineno-9-71" href="#__codelineno-9-71"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-9-72" name="__codelineno-9-72" href="#__codelineno-9-72"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-73" name="__codelineno-9-73" href="#__codelineno-9-73"></a>
|
||
<a id="__codelineno-9-74" name="__codelineno-9-74" href="#__codelineno-9-74"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-9-75" name="__codelineno-9-75" href="#__codelineno-9-75"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-9-76" name="__codelineno-9-76" href="#__codelineno-9-76"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">remove_edge</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="kt">usize</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-77" name="__codelineno-9-77" href="#__codelineno-9-77"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-9-78" name="__codelineno-9-78" href="#__codelineno-9-78"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-9-79" name="__codelineno-9-79" href="#__codelineno-9-79"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-80" name="__codelineno-9-80" href="#__codelineno-9-80"></a><span class="w"> </span><span class="fm">panic!</span><span class="p">(</span><span class="s">"Invalid vertex index"</span><span class="p">)</span>
|
||
<a id="__codelineno-9-81" name="__codelineno-9-81" href="#__codelineno-9-81"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-82" name="__codelineno-9-82" href="#__codelineno-9-82"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-9-83" name="__codelineno-9-83" href="#__codelineno-9-83"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-9-84" name="__codelineno-9-84" href="#__codelineno-9-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-85" name="__codelineno-9-85" href="#__codelineno-9-85"></a>
|
||
<a id="__codelineno-9-86" name="__codelineno-9-86" href="#__codelineno-9-86"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-9-87" name="__codelineno-9-87" href="#__codelineno-9-87"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">print</span><span class="p">(</span><span class="o">&</span><span class="bp">self</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-88" name="__codelineno-9-88" href="#__codelineno-9-88"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">"Vertex list = {:?}"</span><span class="p">,</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">vertices</span><span class="p">);</span>
|
||
<a id="__codelineno-9-89" name="__codelineno-9-89" href="#__codelineno-9-89"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">"Adjacency matrix ="</span><span class="p">);</span>
|
||
<a id="__codelineno-9-90" name="__codelineno-9-90" href="#__codelineno-9-90"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">"["</span><span class="p">);</span>
|
||
<a id="__codelineno-9-91" name="__codelineno-9-91" href="#__codelineno-9-91"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="o">&</span><span class="bp">self</span><span class="p">.</span><span class="n">adj_mat</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-9-92" name="__codelineno-9-92" href="#__codelineno-9-92"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">" {:?},"</span><span class="p">,</span><span class="w"> </span><span class="n">row</span><span class="p">);</span>
|
||
<a id="__codelineno-9-93" name="__codelineno-9-93" href="#__codelineno-9-93"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-94" name="__codelineno-9-94" href="#__codelineno-9-94"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">"]"</span><span class="p">)</span>
|
||
<a id="__codelineno-9-95" name="__codelineno-9-95" href="#__codelineno-9-95"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-9-96" name="__codelineno-9-96" href="#__codelineno-9-96"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.c</span><pre><span></span><code><a id="__codelineno-10-1" name="__codelineno-10-1" href="#__codelineno-10-1"></a><span class="cm">/* Undirected graph structure implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-10-2" name="__codelineno-10-2" href="#__codelineno-10-2"></a><span class="k">typedef</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-3" name="__codelineno-10-3" href="#__codelineno-10-3"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">vertices</span><span class="p">[</span><span class="n">MAX_SIZE</span><span class="p">];</span>
|
||
<a id="__codelineno-10-4" name="__codelineno-10-4" href="#__codelineno-10-4"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">adjMat</span><span class="p">[</span><span class="n">MAX_SIZE</span><span class="p">][</span><span class="n">MAX_SIZE</span><span class="p">];</span>
|
||
<a id="__codelineno-10-5" name="__codelineno-10-5" href="#__codelineno-10-5"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">;</span>
|
||
<a id="__codelineno-10-6" name="__codelineno-10-6" href="#__codelineno-10-6"></a><span class="p">}</span><span class="w"> </span><span class="n">GraphAdjMat</span><span class="p">;</span>
|
||
<a id="__codelineno-10-7" name="__codelineno-10-7" href="#__codelineno-10-7"></a>
|
||
<a id="__codelineno-10-8" name="__codelineno-10-8" href="#__codelineno-10-8"></a><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-10-9" name="__codelineno-10-9" href="#__codelineno-10-9"></a><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="nf">newGraphAdjMat</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-10" name="__codelineno-10-10" href="#__codelineno-10-10"></a><span class="w"> </span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="p">));</span>
|
||
<a id="__codelineno-10-11" name="__codelineno-10-11" href="#__codelineno-10-11"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-10-12" name="__codelineno-10-12" href="#__codelineno-10-12"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">MAX_SIZE</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-13" name="__codelineno-10-13" href="#__codelineno-10-13"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">MAX_SIZE</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-14" name="__codelineno-10-14" href="#__codelineno-10-14"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-10-15" name="__codelineno-10-15" href="#__codelineno-10-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-16" name="__codelineno-10-16" href="#__codelineno-10-16"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-17" name="__codelineno-10-17" href="#__codelineno-10-17"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">graph</span><span class="p">;</span>
|
||
<a id="__codelineno-10-18" name="__codelineno-10-18" href="#__codelineno-10-18"></a><span class="p">}</span>
|
||
<a id="__codelineno-10-19" name="__codelineno-10-19" href="#__codelineno-10-19"></a>
|
||
<a id="__codelineno-10-20" name="__codelineno-10-20" href="#__codelineno-10-20"></a><span class="cm">/* Destructor */</span>
|
||
<a id="__codelineno-10-21" name="__codelineno-10-21" href="#__codelineno-10-21"></a><span class="kt">void</span><span class="w"> </span><span class="nf">delGraphAdjMat</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-22" name="__codelineno-10-22" href="#__codelineno-10-22"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">graph</span><span class="p">);</span>
|
||
<a id="__codelineno-10-23" name="__codelineno-10-23" href="#__codelineno-10-23"></a><span class="p">}</span>
|
||
<a id="__codelineno-10-24" name="__codelineno-10-24" href="#__codelineno-10-24"></a>
|
||
<a id="__codelineno-10-25" name="__codelineno-10-25" href="#__codelineno-10-25"></a><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-10-26" name="__codelineno-10-26" href="#__codelineno-10-26"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-27" name="__codelineno-10-27" href="#__codelineno-10-27"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">MAX_SIZE</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-28" name="__codelineno-10-28" href="#__codelineno-10-28"></a><span class="w"> </span><span class="n">fprintf</span><span class="p">(</span><span class="n">stderr</span><span class="p">,</span><span class="w"> </span><span class="s">"The graph has reached its maximum number of vertices</span><span class="se">\n</span><span class="s">"</span><span class="p">);</span>
|
||
<a id="__codelineno-10-29" name="__codelineno-10-29" href="#__codelineno-10-29"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-10-30" name="__codelineno-10-30" href="#__codelineno-10-30"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-31" name="__codelineno-10-31" href="#__codelineno-10-31"></a><span class="w"> </span><span class="c1">// Add the vertex at index n and set row n and column n to zero</span>
|
||
<a id="__codelineno-10-32" name="__codelineno-10-32" href="#__codelineno-10-32"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span>
|
||
<a id="__codelineno-10-33" name="__codelineno-10-33" href="#__codelineno-10-33"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">vertices</span><span class="p">[</span><span class="n">n</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">val</span><span class="p">;</span>
|
||
<a id="__codelineno-10-34" name="__codelineno-10-34" href="#__codelineno-10-34"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><=</span><span class="w"> </span><span class="n">n</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-35" name="__codelineno-10-35" href="#__codelineno-10-35"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">n</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">n</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-10-36" name="__codelineno-10-36" href="#__codelineno-10-36"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-37" name="__codelineno-10-37" href="#__codelineno-10-37"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="o">++</span><span class="p">;</span>
|
||
<a id="__codelineno-10-38" name="__codelineno-10-38" href="#__codelineno-10-38"></a><span class="p">}</span>
|
||
<a id="__codelineno-10-39" name="__codelineno-10-39" href="#__codelineno-10-39"></a>
|
||
<a id="__codelineno-10-40" name="__codelineno-10-40" href="#__codelineno-10-40"></a><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-10-41" name="__codelineno-10-41" href="#__codelineno-10-41"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-42" name="__codelineno-10-42" href="#__codelineno-10-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-43" name="__codelineno-10-43" href="#__codelineno-10-43"></a><span class="w"> </span><span class="n">fprintf</span><span class="p">(</span><span class="n">stderr</span><span class="p">,</span><span class="w"> </span><span class="s">"Vertex index out of bounds</span><span class="se">\n</span><span class="s">"</span><span class="p">);</span>
|
||
<a id="__codelineno-10-44" name="__codelineno-10-44" href="#__codelineno-10-44"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-10-45" name="__codelineno-10-45" href="#__codelineno-10-45"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-46" name="__codelineno-10-46" href="#__codelineno-10-46"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-10-47" name="__codelineno-10-47" href="#__codelineno-10-47"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-48" name="__codelineno-10-48" href="#__codelineno-10-48"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">vertices</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">vertices</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
|
||
<a id="__codelineno-10-49" name="__codelineno-10-49" href="#__codelineno-10-49"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-50" name="__codelineno-10-50" href="#__codelineno-10-50"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-10-51" name="__codelineno-10-51" href="#__codelineno-10-51"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-52" name="__codelineno-10-52" href="#__codelineno-10-52"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-53" name="__codelineno-10-53" href="#__codelineno-10-53"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">][</span><span class="n">j</span><span class="p">];</span>
|
||
<a id="__codelineno-10-54" name="__codelineno-10-54" href="#__codelineno-10-54"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-55" name="__codelineno-10-55" href="#__codelineno-10-55"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-56" name="__codelineno-10-56" href="#__codelineno-10-56"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-10-57" name="__codelineno-10-57" href="#__codelineno-10-57"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-58" name="__codelineno-10-58" href="#__codelineno-10-58"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">index</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-59" name="__codelineno-10-59" href="#__codelineno-10-59"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
|
||
<a id="__codelineno-10-60" name="__codelineno-10-60" href="#__codelineno-10-60"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-61" name="__codelineno-10-61" href="#__codelineno-10-61"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-62" name="__codelineno-10-62" href="#__codelineno-10-62"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="o">--</span><span class="p">;</span>
|
||
<a id="__codelineno-10-63" name="__codelineno-10-63" href="#__codelineno-10-63"></a><span class="p">}</span>
|
||
<a id="__codelineno-10-64" name="__codelineno-10-64" href="#__codelineno-10-64"></a>
|
||
<a id="__codelineno-10-65" name="__codelineno-10-65" href="#__codelineno-10-65"></a><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-10-66" name="__codelineno-10-66" href="#__codelineno-10-66"></a><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-10-67" name="__codelineno-10-67" href="#__codelineno-10-67"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-68" name="__codelineno-10-68" href="#__codelineno-10-68"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-69" name="__codelineno-10-69" href="#__codelineno-10-69"></a><span class="w"> </span><span class="n">fprintf</span><span class="p">(</span><span class="n">stderr</span><span class="p">,</span><span class="w"> </span><span class="s">"Edge endpoint indices are out of bounds or equal</span><span class="se">\n</span><span class="s">"</span><span class="p">);</span>
|
||
<a id="__codelineno-10-70" name="__codelineno-10-70" href="#__codelineno-10-70"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-10-71" name="__codelineno-10-71" href="#__codelineno-10-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-72" name="__codelineno-10-72" href="#__codelineno-10-72"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-10-73" name="__codelineno-10-73" href="#__codelineno-10-73"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span>
|
||
<a id="__codelineno-10-74" name="__codelineno-10-74" href="#__codelineno-10-74"></a><span class="p">}</span>
|
||
<a id="__codelineno-10-75" name="__codelineno-10-75" href="#__codelineno-10-75"></a>
|
||
<a id="__codelineno-10-76" name="__codelineno-10-76" href="#__codelineno-10-76"></a><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-10-77" name="__codelineno-10-77" href="#__codelineno-10-77"></a><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-10-78" name="__codelineno-10-78" href="#__codelineno-10-78"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-79" name="__codelineno-10-79" href="#__codelineno-10-79"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-80" name="__codelineno-10-80" href="#__codelineno-10-80"></a><span class="w"> </span><span class="n">fprintf</span><span class="p">(</span><span class="n">stderr</span><span class="p">,</span><span class="w"> </span><span class="s">"Edge endpoint indices are out of bounds or equal</span><span class="se">\n</span><span class="s">"</span><span class="p">);</span>
|
||
<a id="__codelineno-10-81" name="__codelineno-10-81" href="#__codelineno-10-81"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-10-82" name="__codelineno-10-82" href="#__codelineno-10-82"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-83" name="__codelineno-10-83" href="#__codelineno-10-83"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">][</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-10-84" name="__codelineno-10-84" href="#__codelineno-10-84"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">j</span><span class="p">][</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-10-85" name="__codelineno-10-85" href="#__codelineno-10-85"></a><span class="p">}</span>
|
||
<a id="__codelineno-10-86" name="__codelineno-10-86" href="#__codelineno-10-86"></a>
|
||
<a id="__codelineno-10-87" name="__codelineno-10-87" href="#__codelineno-10-87"></a><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-10-88" name="__codelineno-10-88" href="#__codelineno-10-88"></a><span class="kt">void</span><span class="w"> </span><span class="nf">printGraphAdjMat</span><span class="p">(</span><span class="n">GraphAdjMat</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-89" name="__codelineno-10-89" href="#__codelineno-10-89"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">"Vertex list = "</span><span class="p">);</span>
|
||
<a id="__codelineno-10-90" name="__codelineno-10-90" href="#__codelineno-10-90"></a><span class="w"> </span><span class="n">printArray</span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">);</span>
|
||
<a id="__codelineno-10-91" name="__codelineno-10-91" href="#__codelineno-10-91"></a><span class="w"> </span><span class="n">printf</span><span class="p">(</span><span class="s">"Adjacency matrix =</span><span class="se">\n</span><span class="s">"</span><span class="p">);</span>
|
||
<a id="__codelineno-10-92" name="__codelineno-10-92" href="#__codelineno-10-92"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-10-93" name="__codelineno-10-93" href="#__codelineno-10-93"></a><span class="w"> </span><span class="n">printArray</span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">adjMat</span><span class="p">[</span><span class="n">i</span><span class="p">],</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">);</span>
|
||
<a id="__codelineno-10-94" name="__codelineno-10-94" href="#__codelineno-10-94"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-10-95" name="__codelineno-10-95" href="#__codelineno-10-95"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.kt</span><pre><span></span><code><a id="__codelineno-11-1" name="__codelineno-11-1" href="#__codelineno-11-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency matrix */</span>
|
||
<a id="__codelineno-11-2" name="__codelineno-11-2" href="#__codelineno-11-2"></a><span class="kd">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span><span class="p">(</span><span class="n">vertices</span><span class="p">:</span><span class="w"> </span><span class="n">IntArray</span><span class="p">,</span><span class="w"> </span><span class="n">edges</span><span class="p">:</span><span class="w"> </span><span class="n">Array</span><span class="o"><</span><span class="n">IntArray</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-3" name="__codelineno-11-3" href="#__codelineno-11-3"></a><span class="w"> </span><span class="kd">val</span><span class="w"> </span><span class="nv">vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mutableListOf</span><span class="o"><</span><span class="kt">Int</span><span class="o">></span><span class="p">()</span><span class="w"> </span><span class="c1">// Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-11-4" name="__codelineno-11-4" href="#__codelineno-11-4"></a><span class="w"> </span><span class="kd">val</span><span class="w"> </span><span class="nv">adjMat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mutableListOf</span><span class="o"><</span><span class="n">MutableList</span><span class="o"><</span><span class="kt">Int</span><span class="o">>></span><span class="p">()</span><span class="w"> </span><span class="c1">// Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-11-5" name="__codelineno-11-5" href="#__codelineno-11-5"></a>
|
||
<a id="__codelineno-11-6" name="__codelineno-11-6" href="#__codelineno-11-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-11-7" name="__codelineno-11-7" href="#__codelineno-11-7"></a><span class="w"> </span><span class="k">init</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-8" name="__codelineno-11-8" href="#__codelineno-11-8"></a><span class="w"> </span><span class="c1">// Add a vertex</span>
|
||
<a id="__codelineno-11-9" name="__codelineno-11-9" href="#__codelineno-11-9"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">vertex</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">vertices</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-10" name="__codelineno-11-10" href="#__codelineno-11-10"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">vertex</span><span class="p">)</span>
|
||
<a id="__codelineno-11-11" name="__codelineno-11-11" href="#__codelineno-11-11"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-12" name="__codelineno-11-12" href="#__codelineno-11-12"></a><span class="w"> </span><span class="c1">// Add an edge</span>
|
||
<a id="__codelineno-11-13" name="__codelineno-11-13" href="#__codelineno-11-13"></a><span class="w"> </span><span class="c1">// Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-11-14" name="__codelineno-11-14" href="#__codelineno-11-14"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-15" name="__codelineno-11-15" href="#__codelineno-11-15"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="m">0</span><span class="o">]</span><span class="p">,</span><span class="w"> </span><span class="n">edge</span><span class="o">[</span><span class="m">1</span><span class="o">]</span><span class="p">)</span>
|
||
<a id="__codelineno-11-16" name="__codelineno-11-16" href="#__codelineno-11-16"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-17" name="__codelineno-11-17" href="#__codelineno-11-17"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-18" name="__codelineno-11-18" href="#__codelineno-11-18"></a>
|
||
<a id="__codelineno-11-19" name="__codelineno-11-19" href="#__codelineno-11-19"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-11-20" name="__codelineno-11-20" href="#__codelineno-11-20"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">size</span><span class="p">():</span><span class="w"> </span><span class="kt">Int</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-21" name="__codelineno-11-21" href="#__codelineno-11-21"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="na">size</span>
|
||
<a id="__codelineno-11-22" name="__codelineno-11-22" href="#__codelineno-11-22"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-23" name="__codelineno-11-23" href="#__codelineno-11-23"></a>
|
||
<a id="__codelineno-11-24" name="__codelineno-11-24" href="#__codelineno-11-24"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-11-25" name="__codelineno-11-25" href="#__codelineno-11-25"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">_val</span><span class="p">:</span><span class="w"> </span><span class="kt">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-26" name="__codelineno-11-26" href="#__codelineno-11-26"></a><span class="w"> </span><span class="kd">val</span><span class="w"> </span><span class="nv">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span>
|
||
<a id="__codelineno-11-27" name="__codelineno-11-27" href="#__codelineno-11-27"></a><span class="w"> </span><span class="c1">// Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-11-28" name="__codelineno-11-28" href="#__codelineno-11-28"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">_val</span><span class="p">)</span>
|
||
<a id="__codelineno-11-29" name="__codelineno-11-29" href="#__codelineno-11-29"></a><span class="w"> </span><span class="c1">// Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-11-30" name="__codelineno-11-30" href="#__codelineno-11-30"></a><span class="w"> </span><span class="kd">val</span><span class="w"> </span><span class="nv">newRow</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mutableListOf</span><span class="o"><</span><span class="kt">Int</span><span class="o">></span><span class="p">()</span>
|
||
<a id="__codelineno-11-31" name="__codelineno-11-31" href="#__codelineno-11-31"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">j</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="m">0.</span><span class="p">.</span><span class="o"><</span><span class="n">n</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-32" name="__codelineno-11-32" href="#__codelineno-11-32"></a><span class="w"> </span><span class="n">newRow</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="m">0</span><span class="p">)</span>
|
||
<a id="__codelineno-11-33" name="__codelineno-11-33" href="#__codelineno-11-33"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-34" name="__codelineno-11-34" href="#__codelineno-11-34"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">newRow</span><span class="p">)</span>
|
||
<a id="__codelineno-11-35" name="__codelineno-11-35" href="#__codelineno-11-35"></a><span class="w"> </span><span class="c1">// Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-11-36" name="__codelineno-11-36" href="#__codelineno-11-36"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-37" name="__codelineno-11-37" href="#__codelineno-11-37"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="m">0</span><span class="p">)</span>
|
||
<a id="__codelineno-11-38" name="__codelineno-11-38" href="#__codelineno-11-38"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-39" name="__codelineno-11-39" href="#__codelineno-11-39"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-40" name="__codelineno-11-40" href="#__codelineno-11-40"></a>
|
||
<a id="__codelineno-11-41" name="__codelineno-11-41" href="#__codelineno-11-41"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-11-42" name="__codelineno-11-42" href="#__codelineno-11-42"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">index</span><span class="p">:</span><span class="w"> </span><span class="kt">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-43" name="__codelineno-11-43" href="#__codelineno-11-43"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">())</span>
|
||
<a id="__codelineno-11-44" name="__codelineno-11-44" href="#__codelineno-11-44"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IndexOutOfBoundsException</span><span class="p">()</span>
|
||
<a id="__codelineno-11-45" name="__codelineno-11-45" href="#__codelineno-11-45"></a><span class="w"> </span><span class="c1">// Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-11-46" name="__codelineno-11-46" href="#__codelineno-11-46"></a><span class="w"> </span><span class="n">vertices</span><span class="p">.</span><span class="na">removeAt</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-11-47" name="__codelineno-11-47" href="#__codelineno-11-47"></a><span class="w"> </span><span class="c1">// Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-11-48" name="__codelineno-11-48" href="#__codelineno-11-48"></a><span class="w"> </span><span class="n">adjMat</span><span class="p">.</span><span class="na">removeAt</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-11-49" name="__codelineno-11-49" href="#__codelineno-11-49"></a><span class="w"> </span><span class="c1">// Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-11-50" name="__codelineno-11-50" href="#__codelineno-11-50"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">row</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjMat</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-51" name="__codelineno-11-51" href="#__codelineno-11-51"></a><span class="w"> </span><span class="n">row</span><span class="p">.</span><span class="na">removeAt</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-11-52" name="__codelineno-11-52" href="#__codelineno-11-52"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-53" name="__codelineno-11-53" href="#__codelineno-11-53"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-54" name="__codelineno-11-54" href="#__codelineno-11-54"></a>
|
||
<a id="__codelineno-11-55" name="__codelineno-11-55" href="#__codelineno-11-55"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-11-56" name="__codelineno-11-56" href="#__codelineno-11-56"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-11-57" name="__codelineno-11-57" href="#__codelineno-11-57"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="kt">Int</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="kt">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-58" name="__codelineno-11-58" href="#__codelineno-11-58"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-11-59" name="__codelineno-11-59" href="#__codelineno-11-59"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-11-60" name="__codelineno-11-60" href="#__codelineno-11-60"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IndexOutOfBoundsException</span><span class="p">()</span>
|
||
<a id="__codelineno-11-61" name="__codelineno-11-61" href="#__codelineno-11-61"></a><span class="w"> </span><span class="c1">// For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-11-62" name="__codelineno-11-62" href="#__codelineno-11-62"></a><span class="w"> </span><span class="n">adjMat</span><span class="o">[</span><span class="n">i</span><span class="o">][</span><span class="n">j</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">1</span>
|
||
<a id="__codelineno-11-63" name="__codelineno-11-63" href="#__codelineno-11-63"></a><span class="w"> </span><span class="n">adjMat</span><span class="o">[</span><span class="n">j</span><span class="o">][</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">1</span>
|
||
<a id="__codelineno-11-64" name="__codelineno-11-64" href="#__codelineno-11-64"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-65" name="__codelineno-11-65" href="#__codelineno-11-65"></a>
|
||
<a id="__codelineno-11-66" name="__codelineno-11-66" href="#__codelineno-11-66"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-11-67" name="__codelineno-11-67" href="#__codelineno-11-67"></a><span class="w"> </span><span class="c1">// Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-11-68" name="__codelineno-11-68" href="#__codelineno-11-68"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">i</span><span class="p">:</span><span class="w"> </span><span class="kt">Int</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">:</span><span class="w"> </span><span class="kt">Int</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-69" name="__codelineno-11-69" href="#__codelineno-11-69"></a><span class="w"> </span><span class="c1">// Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-11-70" name="__codelineno-11-70" href="#__codelineno-11-70"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-11-71" name="__codelineno-11-71" href="#__codelineno-11-71"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IndexOutOfBoundsException</span><span class="p">()</span>
|
||
<a id="__codelineno-11-72" name="__codelineno-11-72" href="#__codelineno-11-72"></a><span class="w"> </span><span class="n">adjMat</span><span class="o">[</span><span class="n">i</span><span class="o">][</span><span class="n">j</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span>
|
||
<a id="__codelineno-11-73" name="__codelineno-11-73" href="#__codelineno-11-73"></a><span class="w"> </span><span class="n">adjMat</span><span class="o">[</span><span class="n">j</span><span class="o">][</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="m">0</span>
|
||
<a id="__codelineno-11-74" name="__codelineno-11-74" href="#__codelineno-11-74"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-75" name="__codelineno-11-75" href="#__codelineno-11-75"></a>
|
||
<a id="__codelineno-11-76" name="__codelineno-11-76" href="#__codelineno-11-76"></a><span class="w"> </span><span class="cm">/* Print the adjacency matrix */</span>
|
||
<a id="__codelineno-11-77" name="__codelineno-11-77" href="#__codelineno-11-77"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-11-78" name="__codelineno-11-78" href="#__codelineno-11-78"></a><span class="w"> </span><span class="n">print</span><span class="p">(</span><span class="s">"Vertex list = "</span><span class="p">)</span>
|
||
<a id="__codelineno-11-79" name="__codelineno-11-79" href="#__codelineno-11-79"></a><span class="w"> </span><span class="n">println</span><span class="p">(</span><span class="n">vertices</span><span class="p">)</span>
|
||
<a id="__codelineno-11-80" name="__codelineno-11-80" href="#__codelineno-11-80"></a><span class="w"> </span><span class="n">println</span><span class="p">(</span><span class="s">"Adjacency matrix ="</span><span class="p">)</span>
|
||
<a id="__codelineno-11-81" name="__codelineno-11-81" href="#__codelineno-11-81"></a><span class="w"> </span><span class="n">printMatrix</span><span class="p">(</span><span class="n">adjMat</span><span class="p">)</span>
|
||
<a id="__codelineno-11-82" name="__codelineno-11-82" href="#__codelineno-11-82"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-11-83" name="__codelineno-11-83" href="#__codelineno-11-83"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_matrix.rb</span><pre><span></span><code><a id="__codelineno-12-1" name="__codelineno-12-1" href="#__codelineno-12-1"></a><span class="c1">### Undirected graph class implemented with an adjacency matrix ###</span>
|
||
<a id="__codelineno-12-2" name="__codelineno-12-2" href="#__codelineno-12-2"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjMat</span>
|
||
<a id="__codelineno-12-3" name="__codelineno-12-3" href="#__codelineno-12-3"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">initialize</span><span class="p">(</span><span class="n">vertices</span><span class="p">,</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span>
|
||
<a id="__codelineno-12-4" name="__codelineno-12-4" href="#__codelineno-12-4"></a><span class="w"> </span><span class="c1">### Constructor ###</span>
|
||
<a id="__codelineno-12-5" name="__codelineno-12-5" href="#__codelineno-12-5"></a><span class="w"> </span><span class="c1"># Vertex list: elements are vertex values, and indices are vertex indices</span>
|
||
<a id="__codelineno-12-6" name="__codelineno-12-6" href="#__codelineno-12-6"></a><span class="w"> </span><span class="vi">@vertices</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">[]</span>
|
||
<a id="__codelineno-12-7" name="__codelineno-12-7" href="#__codelineno-12-7"></a><span class="w"> </span><span class="c1"># Adjacency matrix: row and column indices correspond to vertex indices</span>
|
||
<a id="__codelineno-12-8" name="__codelineno-12-8" href="#__codelineno-12-8"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">[]</span>
|
||
<a id="__codelineno-12-9" name="__codelineno-12-9" href="#__codelineno-12-9"></a><span class="w"> </span><span class="c1"># Add a vertex</span>
|
||
<a id="__codelineno-12-10" name="__codelineno-12-10" href="#__codelineno-12-10"></a><span class="w"> </span><span class="n">vertices</span><span class="o">.</span><span class="n">each</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="o">|</span><span class="n">val</span><span class="o">|</span><span class="w"> </span><span class="n">add_vertex</span><span class="p">(</span><span class="n">val</span><span class="p">)</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-12-11" name="__codelineno-12-11" href="#__codelineno-12-11"></a><span class="w"> </span><span class="c1"># Add an edge</span>
|
||
<a id="__codelineno-12-12" name="__codelineno-12-12" href="#__codelineno-12-12"></a><span class="w"> </span><span class="c1"># Note that the entries in edges are vertex indices, corresponding to element indices in vertices</span>
|
||
<a id="__codelineno-12-13" name="__codelineno-12-13" href="#__codelineno-12-13"></a><span class="w"> </span><span class="n">edges</span><span class="o">.</span><span class="n">each</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="o">|</span><span class="n">e</span><span class="o">|</span><span class="w"> </span><span class="n">add_edge</span><span class="p">(</span><span class="n">e</span><span class="o">[</span><span class="mi">0</span><span class="o">]</span><span class="p">,</span><span class="w"> </span><span class="n">e</span><span class="o">[</span><span class="mi">1</span><span class="o">]</span><span class="p">)</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-12-14" name="__codelineno-12-14" href="#__codelineno-12-14"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-15" name="__codelineno-12-15" href="#__codelineno-12-15"></a>
|
||
<a id="__codelineno-12-16" name="__codelineno-12-16" href="#__codelineno-12-16"></a><span class="w"> </span><span class="c1">### Get the number of vertices ###</span>
|
||
<a id="__codelineno-12-17" name="__codelineno-12-17" href="#__codelineno-12-17"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">size</span>
|
||
<a id="__codelineno-12-18" name="__codelineno-12-18" href="#__codelineno-12-18"></a><span class="w"> </span><span class="vi">@vertices</span><span class="o">.</span><span class="n">length</span>
|
||
<a id="__codelineno-12-19" name="__codelineno-12-19" href="#__codelineno-12-19"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-20" name="__codelineno-12-20" href="#__codelineno-12-20"></a>
|
||
<a id="__codelineno-12-21" name="__codelineno-12-21" href="#__codelineno-12-21"></a><span class="w"> </span><span class="c1">### Add a vertex ###</span>
|
||
<a id="__codelineno-12-22" name="__codelineno-12-22" href="#__codelineno-12-22"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">add_vertex</span><span class="p">(</span><span class="n">val</span><span class="p">)</span>
|
||
<a id="__codelineno-12-23" name="__codelineno-12-23" href="#__codelineno-12-23"></a><span class="w"> </span><span class="n">n</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">size</span>
|
||
<a id="__codelineno-12-24" name="__codelineno-12-24" href="#__codelineno-12-24"></a><span class="w"> </span><span class="c1"># Append the new vertex value to the vertex list</span>
|
||
<a id="__codelineno-12-25" name="__codelineno-12-25" href="#__codelineno-12-25"></a><span class="w"> </span><span class="vi">@vertices</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">val</span>
|
||
<a id="__codelineno-12-26" name="__codelineno-12-26" href="#__codelineno-12-26"></a><span class="w"> </span><span class="c1"># Add a row to the adjacency matrix</span>
|
||
<a id="__codelineno-12-27" name="__codelineno-12-27" href="#__codelineno-12-27"></a><span class="w"> </span><span class="n">new_row</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">Array</span><span class="o">.</span><span class="n">new</span><span class="p">(</span><span class="n">n</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span>
|
||
<a id="__codelineno-12-28" name="__codelineno-12-28" href="#__codelineno-12-28"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">new_row</span>
|
||
<a id="__codelineno-12-29" name="__codelineno-12-29" href="#__codelineno-12-29"></a><span class="w"> </span><span class="c1"># Add a column to the adjacency matrix</span>
|
||
<a id="__codelineno-12-30" name="__codelineno-12-30" href="#__codelineno-12-30"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">.</span><span class="n">each</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="o">|</span><span class="n">row</span><span class="o">|</span><span class="w"> </span><span class="n">row</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-12-31" name="__codelineno-12-31" href="#__codelineno-12-31"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-32" name="__codelineno-12-32" href="#__codelineno-12-32"></a>
|
||
<a id="__codelineno-12-33" name="__codelineno-12-33" href="#__codelineno-12-33"></a><span class="w"> </span><span class="c1">### Remove a vertex ###</span>
|
||
<a id="__codelineno-12-34" name="__codelineno-12-34" href="#__codelineno-12-34"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">remove_vertex</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-12-35" name="__codelineno-12-35" href="#__codelineno-12-35"></a><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="no">IndexError</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">index</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span>
|
||
<a id="__codelineno-12-36" name="__codelineno-12-36" href="#__codelineno-12-36"></a>
|
||
<a id="__codelineno-12-37" name="__codelineno-12-37" href="#__codelineno-12-37"></a><span class="w"> </span><span class="c1"># Remove the vertex at index `index` from the vertex list</span>
|
||
<a id="__codelineno-12-38" name="__codelineno-12-38" href="#__codelineno-12-38"></a><span class="w"> </span><span class="vi">@vertices</span><span class="o">.</span><span class="n">delete_at</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-12-39" name="__codelineno-12-39" href="#__codelineno-12-39"></a><span class="w"> </span><span class="c1"># Remove row `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-12-40" name="__codelineno-12-40" href="#__codelineno-12-40"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">.</span><span class="n">delete_at</span><span class="p">(</span><span class="n">index</span><span class="p">)</span>
|
||
<a id="__codelineno-12-41" name="__codelineno-12-41" href="#__codelineno-12-41"></a><span class="w"> </span><span class="c1"># Remove column `index` from the adjacency matrix</span>
|
||
<a id="__codelineno-12-42" name="__codelineno-12-42" href="#__codelineno-12-42"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">.</span><span class="n">each</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="o">|</span><span class="n">row</span><span class="o">|</span><span class="w"> </span><span class="n">row</span><span class="o">.</span><span class="n">delete_at</span><span class="p">(</span><span class="n">index</span><span class="p">)</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-12-43" name="__codelineno-12-43" href="#__codelineno-12-43"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-44" name="__codelineno-12-44" href="#__codelineno-12-44"></a>
|
||
<a id="__codelineno-12-45" name="__codelineno-12-45" href="#__codelineno-12-45"></a><span class="w"> </span><span class="c1">### Add an edge ###</span>
|
||
<a id="__codelineno-12-46" name="__codelineno-12-46" href="#__codelineno-12-46"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">add_edge</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-12-47" name="__codelineno-12-47" href="#__codelineno-12-47"></a><span class="w"> </span><span class="c1"># Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-12-48" name="__codelineno-12-48" href="#__codelineno-12-48"></a><span class="w"> </span><span class="c1"># Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-12-49" name="__codelineno-12-49" href="#__codelineno-12-49"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span>
|
||
<a id="__codelineno-12-50" name="__codelineno-12-50" href="#__codelineno-12-50"></a><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="no">IndexError</span>
|
||
<a id="__codelineno-12-51" name="__codelineno-12-51" href="#__codelineno-12-51"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-52" name="__codelineno-12-52" href="#__codelineno-12-52"></a><span class="w"> </span><span class="c1"># For an undirected graph, the adjacency matrix is symmetric about its main diagonal: entries (i, j) and (j, i) are equal</span>
|
||
<a id="__codelineno-12-53" name="__codelineno-12-53" href="#__codelineno-12-53"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">[</span><span class="n">i</span><span class="o">][</span><span class="n">j</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span>
|
||
<a id="__codelineno-12-54" name="__codelineno-12-54" href="#__codelineno-12-54"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">[</span><span class="n">j</span><span class="o">][</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">1</span>
|
||
<a id="__codelineno-12-55" name="__codelineno-12-55" href="#__codelineno-12-55"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-56" name="__codelineno-12-56" href="#__codelineno-12-56"></a>
|
||
<a id="__codelineno-12-57" name="__codelineno-12-57" href="#__codelineno-12-57"></a><span class="w"> </span><span class="c1">### Remove an edge ###</span>
|
||
<a id="__codelineno-12-58" name="__codelineno-12-58" href="#__codelineno-12-58"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">remove_edge</span><span class="p">(</span><span class="n">i</span><span class="p">,</span><span class="w"> </span><span class="n">j</span><span class="p">)</span>
|
||
<a id="__codelineno-12-59" name="__codelineno-12-59" href="#__codelineno-12-59"></a><span class="w"> </span><span class="c1"># Parameters i and j are element indices in vertices</span>
|
||
<a id="__codelineno-12-60" name="__codelineno-12-60" href="#__codelineno-12-60"></a><span class="w"> </span><span class="c1"># Handle out-of-bounds or equal indices</span>
|
||
<a id="__codelineno-12-61" name="__codelineno-12-61" href="#__codelineno-12-61"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="mi">0</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">>=</span><span class="w"> </span><span class="n">size</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">j</span>
|
||
<a id="__codelineno-12-62" name="__codelineno-12-62" href="#__codelineno-12-62"></a><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="no">IndexError</span>
|
||
<a id="__codelineno-12-63" name="__codelineno-12-63" href="#__codelineno-12-63"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-64" name="__codelineno-12-64" href="#__codelineno-12-64"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">[</span><span class="n">i</span><span class="o">][</span><span class="n">j</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span>
|
||
<a id="__codelineno-12-65" name="__codelineno-12-65" href="#__codelineno-12-65"></a><span class="w"> </span><span class="vi">@adj_mat</span><span class="o">[</span><span class="n">j</span><span class="o">][</span><span class="n">i</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span>
|
||
<a id="__codelineno-12-66" name="__codelineno-12-66" href="#__codelineno-12-66"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-67" name="__codelineno-12-67" href="#__codelineno-12-67"></a>
|
||
<a id="__codelineno-12-68" name="__codelineno-12-68" href="#__codelineno-12-68"></a><span class="w"> </span><span class="c1">### Print the adjacency matrix ###</span>
|
||
<a id="__codelineno-12-69" name="__codelineno-12-69" href="#__codelineno-12-69"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="n">__print__</span>
|
||
<a id="__codelineno-12-70" name="__codelineno-12-70" href="#__codelineno-12-70"></a><span class="w"> </span><span class="nb">puts</span><span class="w"> </span><span class="s2">"Vertex list = </span><span class="si">#{</span><span class="vi">@vertices</span><span class="si">}</span><span class="s2">"</span>
|
||
<a id="__codelineno-12-71" name="__codelineno-12-71" href="#__codelineno-12-71"></a><span class="w"> </span><span class="nb">puts</span><span class="w"> </span><span class="s1">'Adjacency matrix ='</span>
|
||
<a id="__codelineno-12-72" name="__codelineno-12-72" href="#__codelineno-12-72"></a><span class="w"> </span><span class="n">print_matrix</span><span class="p">(</span><span class="vi">@adj_mat</span><span class="p">)</span>
|
||
<a id="__codelineno-12-73" name="__codelineno-12-73" href="#__codelineno-12-73"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-12-74" name="__codelineno-12-74" href="#__codelineno-12-74"></a><span class="k">end</span>
|
||
</code></pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<details class="pythontutor">
|
||
<summary>Visualize execution</summary>
|
||
<p><div style="height: 549px; width: 100%;"><iframe class="pythontutor-iframe" title="Visualize execution" src="https://pythontutor.com/iframe-embed.html#code=class%20GraphAdjMat%3A%0A%20%20%20%20%22%22%22Undirected%20graph%20class%20implemented%20with%20an%20adjacency%20matrix%22%22%22%0A%0A%20%20%20%20def%20__init__%28self,%20vertices%3A%20list%5Bint%5D,%20edges%3A%20list%5Blist%5Bint%5D%5D%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Constructor%22%22%22%0A%20%20%20%20%20%20%20%20self.vertices%3A%20list%5Bint%5D%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20self.adj_mat%3A%20list%5Blist%5Bint%5D%5D%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20vertex%0A%20%20%20%20%20%20%20%20for%20val%20in%20vertices%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_vertex%28val%29%0A%20%20%20%20%20%20%20%20%23%20Add%20an%20edge%0A%20%20%20%20%20%20%20%20for%20e%20in%20edges%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_edge%28e%5B0%5D,%20e%5B1%5D%29%0A%0A%20%20%20%20def%20size%28self%29%20-%3E%20int%3A%0A%20%20%20%20%20%20%20%20%22%22%22Get%20the%20number%20of%20vertices%22%22%22%0A%20%20%20%20%20%20%20%20return%20len%28self.vertices%29%0A%0A%20%20%20%20def%20add_vertex%28self,%20val%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20n%20%3D%20self.size%28%29%0A%20%20%20%20%20%20%20%20%23%20Append%20the%20new%20vertex%20value%20to%20the%20vertex%20list%0A%20%20%20%20%20%20%20%20self.vertices.append%28val%29%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20row%20to%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20new_row%20%3D%20%5B0%5D%20%2A%20n%0A%20%20%20%20%20%20%20%20self.adj_mat.append%28new_row%29%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20column%20to%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20for%20row%20in%20self.adj_mat%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20row.append%280%29%0A%0A%20%20%20%20def%20remove_vertex%28self,%20index%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20if%20index%20%3E%3D%20self.size%28%29%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20IndexError%28%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20the%20vertex%20at%20index%20%60index%60%20from%20the%20vertex%20list%0A%20%20%20%20%20%20%20%20self.vertices.pop%28index%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20row%20%60index%60%20from%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20self.adj_mat.pop%28index%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20column%20%60index%60%20from%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20for%20row%20in%20self.adj_mat%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20row.pop%28index%29%0A%0A%20%20%20%20def%20add_edge%28self,%20i%3A%20int,%20j%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20%23%20Handle%20out-of-bounds%20or%20equal%20indices%0A%20%20%20%20%20%20%20%20if%20i%20%3C%200%20or%20j%20%3C%200%20or%20i%20%3E%3D%20self.size%28%29%20or%20j%20%3E%3D%20self.size%28%29%20or%20i%20%3D%3D%20j%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20IndexError%28%29%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bi%5D%5Bj%5D%20%3D%201%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bj%5D%5Bi%5D%20%3D%201%0A%0A%20%20%20%20def%20remove_edge%28self,%20i%3A%20int,%20j%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20%23%20Handle%20out-of-bounds%20or%20equal%20indices%0A%20%20%20%20%20%20%20%20if%20i%20%3C%200%20or%20j%20%3C%200%20or%20i%20%3E%3D%20self.size%28%29%20or%20j%20%3E%3D%20self.size%28%29%20or%20i%20%3D%3D%20j%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20IndexError%28%29%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bi%5D%5Bj%5D%20%3D%200%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bj%5D%5Bi%5D%20%3D%200%0A%0A%0A%22%22%22Driver%20code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%22%3A%0A%20%20%20%20%23%20Initialize%20the%20undirected%20graph%0A%20%20%20%20vertices%20%3D%20%5B1,%203,%202,%205,%204%5D%0A%20%20%20%20edges%20%3D%20%5B%5B0,%201%5D,%20%5B0,%203%5D,%20%5B1,%202%5D,%20%5B2,%203%5D,%20%5B2,%204%5D,%20%5B3,%204%5D%5D%0A%20%20%20%20graph%20%3D%20GraphAdjMat%28vertices,%20edges%29%0A%0A%20%20%20%20%23%20Add%20an%20edge%0A%20%20%20%20%23%20Vertices%201%20and%202%20have%20indices%200%20and%202,%20respectively%0A%20%20%20%20graph.add_edge%280,%202%29%0A%0A%20%20%20%20%23%20Remove%20an%20edge%0A%20%20%20%20%23%20Vertices%201%20and%203%20have%20indices%200%20and%201,%20respectively%0A%20%20%20%20graph.remove_edge%280,%201%29%0A%0A%20%20%20%20%23%20Add%20a%20vertex%0A%20%20%20%20graph.add_vertex%286%29%0A%0A%20%20%20%20%23%20Remove%20a%20vertex%0A%20%20%20%20%23%20Vertex%203%20has%20index%201%0A%20%20%20%20graph.remove_vertex%281%29&codeDivHeight=472&codeDivWidth=350&cumulative=false&curInstr=3&heapPrimitives=nevernest&origin=opt-frontend.js&py=311&rawInputLstJSON=%5B%5D&textReferences=false"> </iframe></div>
|
||
<div style="margin-top: 5px;"><a href="https://pythontutor.com/iframe-embed.html#code=class%20GraphAdjMat%3A%0A%20%20%20%20%22%22%22Undirected%20graph%20class%20implemented%20with%20an%20adjacency%20matrix%22%22%22%0A%0A%20%20%20%20def%20__init__%28self,%20vertices%3A%20list%5Bint%5D,%20edges%3A%20list%5Blist%5Bint%5D%5D%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Constructor%22%22%22%0A%20%20%20%20%20%20%20%20self.vertices%3A%20list%5Bint%5D%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20self.adj_mat%3A%20list%5Blist%5Bint%5D%5D%20%3D%20%5B%5D%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20vertex%0A%20%20%20%20%20%20%20%20for%20val%20in%20vertices%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_vertex%28val%29%0A%20%20%20%20%20%20%20%20%23%20Add%20an%20edge%0A%20%20%20%20%20%20%20%20for%20e%20in%20edges%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_edge%28e%5B0%5D,%20e%5B1%5D%29%0A%0A%20%20%20%20def%20size%28self%29%20-%3E%20int%3A%0A%20%20%20%20%20%20%20%20%22%22%22Get%20the%20number%20of%20vertices%22%22%22%0A%20%20%20%20%20%20%20%20return%20len%28self.vertices%29%0A%0A%20%20%20%20def%20add_vertex%28self,%20val%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20n%20%3D%20self.size%28%29%0A%20%20%20%20%20%20%20%20%23%20Append%20the%20new%20vertex%20value%20to%20the%20vertex%20list%0A%20%20%20%20%20%20%20%20self.vertices.append%28val%29%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20row%20to%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20new_row%20%3D%20%5B0%5D%20%2A%20n%0A%20%20%20%20%20%20%20%20self.adj_mat.append%28new_row%29%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20column%20to%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20for%20row%20in%20self.adj_mat%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20row.append%280%29%0A%0A%20%20%20%20def%20remove_vertex%28self,%20index%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20if%20index%20%3E%3D%20self.size%28%29%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20IndexError%28%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20the%20vertex%20at%20index%20%60index%60%20from%20the%20vertex%20list%0A%20%20%20%20%20%20%20%20self.vertices.pop%28index%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20row%20%60index%60%20from%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20self.adj_mat.pop%28index%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20column%20%60index%60%20from%20the%20adjacency%20matrix%0A%20%20%20%20%20%20%20%20for%20row%20in%20self.adj_mat%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20row.pop%28index%29%0A%0A%20%20%20%20def%20add_edge%28self,%20i%3A%20int,%20j%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20%23%20Handle%20out-of-bounds%20or%20equal%20indices%0A%20%20%20%20%20%20%20%20if%20i%20%3C%200%20or%20j%20%3C%200%20or%20i%20%3E%3D%20self.size%28%29%20or%20j%20%3E%3D%20self.size%28%29%20or%20i%20%3D%3D%20j%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20IndexError%28%29%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bi%5D%5Bj%5D%20%3D%201%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bj%5D%5Bi%5D%20%3D%201%0A%0A%20%20%20%20def%20remove_edge%28self,%20i%3A%20int,%20j%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20%23%20Handle%20out-of-bounds%20or%20equal%20indices%0A%20%20%20%20%20%20%20%20if%20i%20%3C%200%20or%20j%20%3C%200%20or%20i%20%3E%3D%20self.size%28%29%20or%20j%20%3E%3D%20self.size%28%29%20or%20i%20%3D%3D%20j%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20IndexError%28%29%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bi%5D%5Bj%5D%20%3D%200%0A%20%20%20%20%20%20%20%20self.adj_mat%5Bj%5D%5Bi%5D%20%3D%200%0A%0A%0A%22%22%22Driver%20code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%22%3A%0A%20%20%20%20%23%20Initialize%20the%20undirected%20graph%0A%20%20%20%20vertices%20%3D%20%5B1,%203,%202,%205,%204%5D%0A%20%20%20%20edges%20%3D%20%5B%5B0,%201%5D,%20%5B0,%203%5D,%20%5B1,%202%5D,%20%5B2,%203%5D,%20%5B2,%204%5D,%20%5B3,%204%5D%5D%0A%20%20%20%20graph%20%3D%20GraphAdjMat%28vertices,%20edges%29%0A%0A%20%20%20%20%23%20Add%20an%20edge%0A%20%20%20%20%23%20Vertices%201%20and%202%20have%20indices%200%20and%202,%20respectively%0A%20%20%20%20graph.add_edge%280,%202%29%0A%0A%20%20%20%20%23%20Remove%20an%20edge%0A%20%20%20%20%23%20Vertices%201%20and%203%20have%20indices%200%20and%201,%20respectively%0A%20%20%20%20graph.remove_edge%280,%201%29%0A%0A%20%20%20%20%23%20Add%20a%20vertex%0A%20%20%20%20graph.add_vertex%286%29%0A%0A%20%20%20%20%23%20Remove%20a%20vertex%0A%20%20%20%20%23%20Vertex%203%20has%20index%201%0A%20%20%20%20graph.remove_vertex%281%29&codeDivHeight=800&codeDivWidth=600&cumulative=false&curInstr=3&heapPrimitives=nevernest&origin=opt-frontend.js&py=311&rawInputLstJSON=%5B%5D&textReferences=false" target="_blank" rel="noopener noreferrer">View full screen ></a></div></p>
|
||
</details>
|
||
<h2 id="922-adjacency-list-implementation">9.2.2 Adjacency list implementation<a class="headerlink" href="#922-adjacency-list-implementation" title="Permanent link">¶</a></h2>
|
||
<p>For an undirected graph with <span class="arithmatex">\(n\)</span> vertices and <span class="arithmatex">\(m\)</span> edges, the operations can be implemented as shown in Figure 9-8.</p>
|
||
<ul>
|
||
<li><strong>Add an edge</strong>: Append the edge to the linked list of the corresponding vertex, taking <span class="arithmatex">\(O(1)\)</span> time. Since the graph is undirected, add the edge in both directions.</li>
|
||
<li><strong>Remove an edge</strong>: Find and remove the specified edge in the corresponding vertex's linked list, taking <span class="arithmatex">\(O(m)\)</span> time. For an undirected graph, remove the edge in both directions.</li>
|
||
<li><strong>Add a vertex</strong>: Add a linked list to the adjacency list with the new vertex as its head node, taking <span class="arithmatex">\(O(1)\)</span> time.</li>
|
||
<li><strong>Remove a vertex</strong>: Traverse the entire adjacency list and remove every edge involving the specified vertex, taking <span class="arithmatex">\(O(n + m)\)</span> time.</li>
|
||
<li><strong>Initialize the graph</strong>: Create <span class="arithmatex">\(n\)</span> vertices and <span class="arithmatex">\(2m\)</span> edge entries in the adjacency list, taking <span class="arithmatex">\(O(n + m)\)</span> time.</li>
|
||
</ul>
|
||
<div class="tabbed-set tabbed-alternate" data-tabs="3:5"><input checked="checked" id="__tabbed_3_1" name="__tabbed_3" type="radio" /><input id="__tabbed_3_2" name="__tabbed_3" type="radio" /><input id="__tabbed_3_3" name="__tabbed_3" type="radio" /><input id="__tabbed_3_4" name="__tabbed_3" type="radio" /><input id="__tabbed_3_5" name="__tabbed_3" type="radio" /><div class="tabbed-labels"><label for="__tabbed_3_1"><1></label><label for="__tabbed_3_2"><2></label><label for="__tabbed_3_3"><3></label><label for="__tabbed_3_4"><4></label><label for="__tabbed_3_5"><5></label></div>
|
||
<div class="tabbed-content">
|
||
<div class="tabbed-block">
|
||
<p><img alt="Initializing an adjacency list and adding or removing edges and vertices" class="animation-figure" src="../graph_operations.assets/adjacency_list_step1_initialization.png" /></p>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<p><img alt="adjacency_list_add_edge" class="animation-figure" src="../graph_operations.assets/adjacency_list_step2_add_edge.png" /></p>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<p><img alt="adjacency_list_remove_edge" class="animation-figure" src="../graph_operations.assets/adjacency_list_step3_remove_edge.png" /></p>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<p><img alt="adjacency_list_add_vertex" class="animation-figure" src="../graph_operations.assets/adjacency_list_step4_add_vertex.png" /></p>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<p><img alt="adjacency_list_remove_vertex" class="animation-figure" src="../graph_operations.assets/adjacency_list_step5_remove_vertex.png" /></p>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<p align="center"> Figure 9-8 Initializing an adjacency list and adding or removing edges and vertices </p>
|
||
|
||
<p>The following code implements an adjacency list, with these differences from Figure 9-8.</p>
|
||
<ul>
|
||
<li>To make adding and removing vertices easier and simplify the code, we use lists (dynamic arrays) in place of linked lists.</li>
|
||
<li>A hash table stores the adjacency list. Each <code>key</code> is a vertex instance, and its <code>value</code> is the list (linked list) of adjacent vertices.</li>
|
||
</ul>
|
||
<p>We also use the <code>Vertex</code> class to represent vertices in the adjacency list. If we identified vertices by list indices, as in the adjacency matrix, deleting the vertex at index <span class="arithmatex">\(i\)</span> would require traversing the entire adjacency list and subtracting <span class="arithmatex">\(1\)</span> from every index greater than <span class="arithmatex">\(i\)</span>. This would be inefficient. When each vertex is a unique <code>Vertex</code> instance, deleting one vertex requires no changes to the other vertices.</p>
|
||
<div class="tabbed-set tabbed-alternate" data-tabs="4:13"><input checked="checked" id="__tabbed_4_1" name="__tabbed_4" type="radio" /><input id="__tabbed_4_2" name="__tabbed_4" type="radio" /><input id="__tabbed_4_3" name="__tabbed_4" type="radio" /><input id="__tabbed_4_4" name="__tabbed_4" type="radio" /><input id="__tabbed_4_5" name="__tabbed_4" type="radio" /><input id="__tabbed_4_6" name="__tabbed_4" type="radio" /><input id="__tabbed_4_7" name="__tabbed_4" type="radio" /><input id="__tabbed_4_8" name="__tabbed_4" type="radio" /><input id="__tabbed_4_9" name="__tabbed_4" type="radio" /><input id="__tabbed_4_10" name="__tabbed_4" type="radio" /><input id="__tabbed_4_11" name="__tabbed_4" type="radio" /><input id="__tabbed_4_12" name="__tabbed_4" type="radio" /><input id="__tabbed_4_13" name="__tabbed_4" type="radio" /><div class="tabbed-labels"><label for="__tabbed_4_1">Python</label><label for="__tabbed_4_2">C++</label><label for="__tabbed_4_3">Java</label><label for="__tabbed_4_4">C#</label><label for="__tabbed_4_5">Go</label><label for="__tabbed_4_6">Swift</label><label for="__tabbed_4_7">JS</label><label for="__tabbed_4_8">TS</label><label for="__tabbed_4_9">Dart</label><label for="__tabbed_4_10">Rust</label><label for="__tabbed_4_11">C</label><label for="__tabbed_4_12">Kotlin</label><label for="__tabbed_4_13">Ruby</label></div>
|
||
<div class="tabbed-content">
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.py</span><pre><span></span><code><a id="__codelineno-13-1" name="__codelineno-13-1" href="#__codelineno-13-1"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="p">:</span>
|
||
<a id="__codelineno-13-2" name="__codelineno-13-2" href="#__codelineno-13-2"></a><span class="w"> </span><span class="sd">"""Undirected graph class implemented with an adjacency list"""</span>
|
||
<a id="__codelineno-13-3" name="__codelineno-13-3" href="#__codelineno-13-3"></a>
|
||
<a id="__codelineno-13-4" name="__codelineno-13-4" href="#__codelineno-13-4"></a> <span class="k">def</span><span class="w"> </span><span class="fm">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">edges</span><span class="p">:</span> <span class="nb">list</span><span class="p">[</span><span class="nb">list</span><span class="p">[</span><span class="n">Vertex</span><span class="p">]]):</span>
|
||
<a id="__codelineno-13-5" name="__codelineno-13-5" href="#__codelineno-13-5"></a><span class="w"> </span><span class="sd">"""Constructor"""</span>
|
||
<a id="__codelineno-13-6" name="__codelineno-13-6" href="#__codelineno-13-6"></a> <span class="c1"># Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-13-7" name="__codelineno-13-7" href="#__codelineno-13-7"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span> <span class="o">=</span> <span class="nb">dict</span><span class="p">[</span><span class="n">Vertex</span><span class="p">,</span> <span class="nb">list</span><span class="p">[</span><span class="n">Vertex</span><span class="p">]]()</span>
|
||
<a id="__codelineno-13-8" name="__codelineno-13-8" href="#__codelineno-13-8"></a> <span class="c1"># Add all vertices and edges</span>
|
||
<a id="__codelineno-13-9" name="__codelineno-13-9" href="#__codelineno-13-9"></a> <span class="k">for</span> <span class="n">edge</span> <span class="ow">in</span> <span class="n">edges</span><span class="p">:</span>
|
||
<a id="__codelineno-13-10" name="__codelineno-13-10" href="#__codelineno-13-10"></a> <span class="bp">self</span><span class="o">.</span><span class="n">add_vertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||
<a id="__codelineno-13-11" name="__codelineno-13-11" href="#__codelineno-13-11"></a> <span class="bp">self</span><span class="o">.</span><span class="n">add_vertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-13-12" name="__codelineno-13-12" href="#__codelineno-13-12"></a> <span class="bp">self</span><span class="o">.</span><span class="n">add_edge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-13-13" name="__codelineno-13-13" href="#__codelineno-13-13"></a>
|
||
<a id="__codelineno-13-14" name="__codelineno-13-14" href="#__codelineno-13-14"></a> <span class="k">def</span><span class="w"> </span><span class="nf">size</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span> <span class="o">-></span> <span class="nb">int</span><span class="p">:</span>
|
||
<a id="__codelineno-13-15" name="__codelineno-13-15" href="#__codelineno-13-15"></a><span class="w"> </span><span class="sd">"""Get the number of vertices"""</span>
|
||
<a id="__codelineno-13-16" name="__codelineno-13-16" href="#__codelineno-13-16"></a> <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">)</span>
|
||
<a id="__codelineno-13-17" name="__codelineno-13-17" href="#__codelineno-13-17"></a>
|
||
<a id="__codelineno-13-18" name="__codelineno-13-18" href="#__codelineno-13-18"></a> <span class="k">def</span><span class="w"> </span><span class="nf">add_edge</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vet1</span><span class="p">:</span> <span class="n">Vertex</span><span class="p">,</span> <span class="n">vet2</span><span class="p">:</span> <span class="n">Vertex</span><span class="p">):</span>
|
||
<a id="__codelineno-13-19" name="__codelineno-13-19" href="#__codelineno-13-19"></a><span class="w"> </span><span class="sd">"""Add an edge"""</span>
|
||
<a id="__codelineno-13-20" name="__codelineno-13-20" href="#__codelineno-13-20"></a> <span class="k">if</span> <span class="n">vet1</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span> <span class="ow">or</span> <span class="n">vet2</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span> <span class="ow">or</span> <span class="n">vet1</span> <span class="o">==</span> <span class="n">vet2</span><span class="p">:</span>
|
||
<a id="__codelineno-13-21" name="__codelineno-13-21" href="#__codelineno-13-21"></a> <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">()</span>
|
||
<a id="__codelineno-13-22" name="__codelineno-13-22" href="#__codelineno-13-22"></a> <span class="c1"># Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-13-23" name="__codelineno-13-23" href="#__codelineno-13-23"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vet1</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-13-24" name="__codelineno-13-24" href="#__codelineno-13-24"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vet2</span><span class="p">]</span><span class="o">.</span><span class="n">append</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-13-25" name="__codelineno-13-25" href="#__codelineno-13-25"></a>
|
||
<a id="__codelineno-13-26" name="__codelineno-13-26" href="#__codelineno-13-26"></a> <span class="k">def</span><span class="w"> </span><span class="nf">remove_edge</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vet1</span><span class="p">:</span> <span class="n">Vertex</span><span class="p">,</span> <span class="n">vet2</span><span class="p">:</span> <span class="n">Vertex</span><span class="p">):</span>
|
||
<a id="__codelineno-13-27" name="__codelineno-13-27" href="#__codelineno-13-27"></a><span class="w"> </span><span class="sd">"""Remove an edge"""</span>
|
||
<a id="__codelineno-13-28" name="__codelineno-13-28" href="#__codelineno-13-28"></a> <span class="k">if</span> <span class="n">vet1</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span> <span class="ow">or</span> <span class="n">vet2</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span> <span class="ow">or</span> <span class="n">vet1</span> <span class="o">==</span> <span class="n">vet2</span><span class="p">:</span>
|
||
<a id="__codelineno-13-29" name="__codelineno-13-29" href="#__codelineno-13-29"></a> <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">()</span>
|
||
<a id="__codelineno-13-30" name="__codelineno-13-30" href="#__codelineno-13-30"></a> <span class="c1"># Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-13-31" name="__codelineno-13-31" href="#__codelineno-13-31"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vet1</span><span class="p">]</span><span class="o">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-13-32" name="__codelineno-13-32" href="#__codelineno-13-32"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vet2</span><span class="p">]</span><span class="o">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-13-33" name="__codelineno-13-33" href="#__codelineno-13-33"></a>
|
||
<a id="__codelineno-13-34" name="__codelineno-13-34" href="#__codelineno-13-34"></a> <span class="k">def</span><span class="w"> </span><span class="nf">add_vertex</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vet</span><span class="p">:</span> <span class="n">Vertex</span><span class="p">):</span>
|
||
<a id="__codelineno-13-35" name="__codelineno-13-35" href="#__codelineno-13-35"></a><span class="w"> </span><span class="sd">"""Add a vertex"""</span>
|
||
<a id="__codelineno-13-36" name="__codelineno-13-36" href="#__codelineno-13-36"></a> <span class="k">if</span> <span class="n">vet</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">:</span>
|
||
<a id="__codelineno-13-37" name="__codelineno-13-37" href="#__codelineno-13-37"></a> <span class="k">return</span>
|
||
<a id="__codelineno-13-38" name="__codelineno-13-38" href="#__codelineno-13-38"></a> <span class="c1"># Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-13-39" name="__codelineno-13-39" href="#__codelineno-13-39"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vet</span><span class="p">]</span> <span class="o">=</span> <span class="p">[]</span>
|
||
<a id="__codelineno-13-40" name="__codelineno-13-40" href="#__codelineno-13-40"></a>
|
||
<a id="__codelineno-13-41" name="__codelineno-13-41" href="#__codelineno-13-41"></a> <span class="k">def</span><span class="w"> </span><span class="nf">remove_vertex</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">vet</span><span class="p">:</span> <span class="n">Vertex</span><span class="p">):</span>
|
||
<a id="__codelineno-13-42" name="__codelineno-13-42" href="#__codelineno-13-42"></a><span class="w"> </span><span class="sd">"""Remove a vertex"""</span>
|
||
<a id="__codelineno-13-43" name="__codelineno-13-43" href="#__codelineno-13-43"></a> <span class="k">if</span> <span class="n">vet</span> <span class="ow">not</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">:</span>
|
||
<a id="__codelineno-13-44" name="__codelineno-13-44" href="#__codelineno-13-44"></a> <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">()</span>
|
||
<a id="__codelineno-13-45" name="__codelineno-13-45" href="#__codelineno-13-45"></a> <span class="c1"># Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-13-46" name="__codelineno-13-46" href="#__codelineno-13-46"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="o">.</span><span class="n">pop</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-13-47" name="__codelineno-13-47" href="#__codelineno-13-47"></a> <span class="c1"># Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-13-48" name="__codelineno-13-48" href="#__codelineno-13-48"></a> <span class="k">for</span> <span class="n">vertex</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">:</span>
|
||
<a id="__codelineno-13-49" name="__codelineno-13-49" href="#__codelineno-13-49"></a> <span class="k">if</span> <span class="n">vet</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vertex</span><span class="p">]:</span>
|
||
<a id="__codelineno-13-50" name="__codelineno-13-50" href="#__codelineno-13-50"></a> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vertex</span><span class="p">]</span><span class="o">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-13-51" name="__codelineno-13-51" href="#__codelineno-13-51"></a>
|
||
<a id="__codelineno-13-52" name="__codelineno-13-52" href="#__codelineno-13-52"></a> <span class="k">def</span><span class="w"> </span><span class="nf">print</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span>
|
||
<a id="__codelineno-13-53" name="__codelineno-13-53" href="#__codelineno-13-53"></a><span class="w"> </span><span class="sd">"""Print the adjacency list"""</span>
|
||
<a id="__codelineno-13-54" name="__codelineno-13-54" href="#__codelineno-13-54"></a> <span class="nb">print</span><span class="p">(</span><span class="s2">"Adjacency list ="</span><span class="p">)</span>
|
||
<a id="__codelineno-13-55" name="__codelineno-13-55" href="#__codelineno-13-55"></a> <span class="k">for</span> <span class="n">vertex</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">:</span>
|
||
<a id="__codelineno-13-56" name="__codelineno-13-56" href="#__codelineno-13-56"></a> <span class="n">tmp</span> <span class="o">=</span> <span class="p">[</span><span class="n">v</span><span class="o">.</span><span class="n">val</span> <span class="k">for</span> <span class="n">v</span> <span class="ow">in</span> <span class="bp">self</span><span class="o">.</span><span class="n">adj_list</span><span class="p">[</span><span class="n">vertex</span><span class="p">]]</span>
|
||
<a id="__codelineno-13-57" name="__codelineno-13-57" href="#__codelineno-13-57"></a> <span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">"</span><span class="si">{</span><span class="n">vertex</span><span class="o">.</span><span class="n">val</span><span class="si">}</span><span class="s2">: </span><span class="si">{</span><span class="n">tmp</span><span class="si">}</span><span class="s2">,"</span><span class="p">)</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.cpp</span><pre><span></span><code><a id="__codelineno-14-1" name="__codelineno-14-1" href="#__codelineno-14-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-14-2" name="__codelineno-14-2" href="#__codelineno-14-2"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-3" name="__codelineno-14-3" href="#__codelineno-14-3"></a><span class="w"> </span><span class="k">public</span><span class="o">:</span>
|
||
<a id="__codelineno-14-4" name="__codelineno-14-4" href="#__codelineno-14-4"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-14-5" name="__codelineno-14-5" href="#__codelineno-14-5"></a><span class="w"> </span><span class="n">unordered_map</span><span class="o"><</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="p">,</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*>></span><span class="w"> </span><span class="n">adjList</span><span class="p">;</span>
|
||
<a id="__codelineno-14-6" name="__codelineno-14-6" href="#__codelineno-14-6"></a>
|
||
<a id="__codelineno-14-7" name="__codelineno-14-7" href="#__codelineno-14-7"></a><span class="w"> </span><span class="cm">/* Remove the specified vertex from the vector */</span>
|
||
<a id="__codelineno-14-8" name="__codelineno-14-8" href="#__codelineno-14-8"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">remove</span><span class="p">(</span><span class="n">vector</span><span class="o"><</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*></span><span class="w"> </span><span class="o">&</span><span class="n">vec</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-9" name="__codelineno-14-9" href="#__codelineno-14-9"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">vec</span><span class="p">.</span><span class="n">size</span><span class="p">();</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-10" name="__codelineno-14-10" href="#__codelineno-14-10"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">vec</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-11" name="__codelineno-14-11" href="#__codelineno-14-11"></a><span class="w"> </span><span class="n">vec</span><span class="p">.</span><span class="n">erase</span><span class="p">(</span><span class="n">vec</span><span class="p">.</span><span class="n">begin</span><span class="p">()</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">i</span><span class="p">);</span>
|
||
<a id="__codelineno-14-12" name="__codelineno-14-12" href="#__codelineno-14-12"></a><span class="w"> </span><span class="k">break</span><span class="p">;</span>
|
||
<a id="__codelineno-14-13" name="__codelineno-14-13" href="#__codelineno-14-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-14" name="__codelineno-14-14" href="#__codelineno-14-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-15" name="__codelineno-14-15" href="#__codelineno-14-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-16" name="__codelineno-14-16" href="#__codelineno-14-16"></a>
|
||
<a id="__codelineno-14-17" name="__codelineno-14-17" href="#__codelineno-14-17"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-14-18" name="__codelineno-14-18" href="#__codelineno-14-18"></a><span class="w"> </span><span class="n">GraphAdjList</span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="n">vector</span><span class="o"><</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*>></span><span class="w"> </span><span class="o">&</span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-19" name="__codelineno-14-19" href="#__codelineno-14-19"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-14-20" name="__codelineno-14-20" href="#__codelineno-14-20"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="k">const</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*></span><span class="w"> </span><span class="o">&</span><span class="n">edge</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-21" name="__codelineno-14-21" href="#__codelineno-14-21"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
|
||
<a id="__codelineno-14-22" name="__codelineno-14-22" href="#__codelineno-14-22"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-14-23" name="__codelineno-14-23" href="#__codelineno-14-23"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-14-24" name="__codelineno-14-24" href="#__codelineno-14-24"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-25" name="__codelineno-14-25" href="#__codelineno-14-25"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-26" name="__codelineno-14-26" href="#__codelineno-14-26"></a>
|
||
<a id="__codelineno-14-27" name="__codelineno-14-27" href="#__codelineno-14-27"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-14-28" name="__codelineno-14-28" href="#__codelineno-14-28"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-29" name="__codelineno-14-29" href="#__codelineno-14-29"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">size</span><span class="p">();</span>
|
||
<a id="__codelineno-14-30" name="__codelineno-14-30" href="#__codelineno-14-30"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-31" name="__codelineno-14-31" href="#__codelineno-14-31"></a>
|
||
<a id="__codelineno-14-32" name="__codelineno-14-32" href="#__codelineno-14-32"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-14-33" name="__codelineno-14-33" href="#__codelineno-14-33"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-34" name="__codelineno-14-34" href="#__codelineno-14-34"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">count</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">count</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-14-35" name="__codelineno-14-35" href="#__codelineno-14-35"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">invalid_argument</span><span class="p">(</span><span class="s">"Invalid vertex"</span><span class="p">);</span>
|
||
<a id="__codelineno-14-36" name="__codelineno-14-36" href="#__codelineno-14-36"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-14-37" name="__codelineno-14-37" href="#__codelineno-14-37"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">].</span><span class="n">push_back</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-14-38" name="__codelineno-14-38" href="#__codelineno-14-38"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">].</span><span class="n">push_back</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-14-39" name="__codelineno-14-39" href="#__codelineno-14-39"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-40" name="__codelineno-14-40" href="#__codelineno-14-40"></a>
|
||
<a id="__codelineno-14-41" name="__codelineno-14-41" href="#__codelineno-14-41"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-14-42" name="__codelineno-14-42" href="#__codelineno-14-42"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-43" name="__codelineno-14-43" href="#__codelineno-14-43"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">count</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">count</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-14-44" name="__codelineno-14-44" href="#__codelineno-14-44"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">invalid_argument</span><span class="p">(</span><span class="s">"Invalid vertex"</span><span class="p">);</span>
|
||
<a id="__codelineno-14-45" name="__codelineno-14-45" href="#__codelineno-14-45"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-14-46" name="__codelineno-14-46" href="#__codelineno-14-46"></a><span class="w"> </span><span class="n">remove</span><span class="p">(</span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">],</span><span class="w"> </span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-14-47" name="__codelineno-14-47" href="#__codelineno-14-47"></a><span class="w"> </span><span class="n">remove</span><span class="p">(</span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">],</span><span class="w"> </span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-14-48" name="__codelineno-14-48" href="#__codelineno-14-48"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-49" name="__codelineno-14-49" href="#__codelineno-14-49"></a>
|
||
<a id="__codelineno-14-50" name="__codelineno-14-50" href="#__codelineno-14-50"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-14-51" name="__codelineno-14-51" href="#__codelineno-14-51"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-52" name="__codelineno-14-52" href="#__codelineno-14-52"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">adjList</span><span class="p">.</span><span class="n">count</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-14-53" name="__codelineno-14-53" href="#__codelineno-14-53"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-14-54" name="__codelineno-14-54" href="#__codelineno-14-54"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-14-55" name="__codelineno-14-55" href="#__codelineno-14-55"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">vector</span><span class="o"><</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*></span><span class="p">();</span>
|
||
<a id="__codelineno-14-56" name="__codelineno-14-56" href="#__codelineno-14-56"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-57" name="__codelineno-14-57" href="#__codelineno-14-57"></a>
|
||
<a id="__codelineno-14-58" name="__codelineno-14-58" href="#__codelineno-14-58"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-14-59" name="__codelineno-14-59" href="#__codelineno-14-59"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-60" name="__codelineno-14-60" href="#__codelineno-14-60"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">count</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-14-61" name="__codelineno-14-61" href="#__codelineno-14-61"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">invalid_argument</span><span class="p">(</span><span class="s">"Invalid vertex"</span><span class="p">);</span>
|
||
<a id="__codelineno-14-62" name="__codelineno-14-62" href="#__codelineno-14-62"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-14-63" name="__codelineno-14-63" href="#__codelineno-14-63"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">erase</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-14-64" name="__codelineno-14-64" href="#__codelineno-14-64"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-14-65" name="__codelineno-14-65" href="#__codelineno-14-65"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="k">auto</span><span class="w"> </span><span class="o">&</span><span class="n">adj</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">adjList</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-66" name="__codelineno-14-66" href="#__codelineno-14-66"></a><span class="w"> </span><span class="n">remove</span><span class="p">(</span><span class="n">adj</span><span class="p">.</span><span class="n">second</span><span class="p">,</span><span class="w"> </span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-14-67" name="__codelineno-14-67" href="#__codelineno-14-67"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-68" name="__codelineno-14-68" href="#__codelineno-14-68"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-69" name="__codelineno-14-69" href="#__codelineno-14-69"></a>
|
||
<a id="__codelineno-14-70" name="__codelineno-14-70" href="#__codelineno-14-70"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-14-71" name="__codelineno-14-71" href="#__codelineno-14-71"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-72" name="__codelineno-14-72" href="#__codelineno-14-72"></a><span class="w"> </span><span class="n">cout</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">"Adjacency list ="</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">endl</span><span class="p">;</span>
|
||
<a id="__codelineno-14-73" name="__codelineno-14-73" href="#__codelineno-14-73"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="k">auto</span><span class="w"> </span><span class="o">&</span><span class="n">adj</span><span class="w"> </span><span class="o">:</span><span class="w"> </span><span class="n">adjList</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-14-74" name="__codelineno-14-74" href="#__codelineno-14-74"></a><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="k">auto</span><span class="w"> </span><span class="o">&</span><span class="n">key</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">adj</span><span class="p">.</span><span class="n">first</span><span class="p">;</span>
|
||
<a id="__codelineno-14-75" name="__codelineno-14-75" href="#__codelineno-14-75"></a><span class="w"> </span><span class="k">const</span><span class="w"> </span><span class="k">auto</span><span class="w"> </span><span class="o">&</span><span class="n">vec</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">adj</span><span class="p">.</span><span class="n">second</span><span class="p">;</span>
|
||
<a id="__codelineno-14-76" name="__codelineno-14-76" href="#__codelineno-14-76"></a><span class="w"> </span><span class="n">cout</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">key</span><span class="o">-></span><span class="n">val</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="s">": "</span><span class="p">;</span>
|
||
<a id="__codelineno-14-77" name="__codelineno-14-77" href="#__codelineno-14-77"></a><span class="w"> </span><span class="n">printVector</span><span class="p">(</span><span class="n">vetsToVals</span><span class="p">(</span><span class="n">vec</span><span class="p">));</span>
|
||
<a id="__codelineno-14-78" name="__codelineno-14-78" href="#__codelineno-14-78"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-79" name="__codelineno-14-79" href="#__codelineno-14-79"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-14-80" name="__codelineno-14-80" href="#__codelineno-14-80"></a><span class="p">};</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.java</span><pre><span></span><code><a id="__codelineno-15-1" name="__codelineno-15-1" href="#__codelineno-15-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-15-2" name="__codelineno-15-2" href="#__codelineno-15-2"></a><span class="kd">class</span> <span class="nc">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-3" name="__codelineno-15-3" href="#__codelineno-15-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-15-4" name="__codelineno-15-4" href="#__codelineno-15-4"></a><span class="w"> </span><span class="n">Map</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="w"> </span><span class="n">adjList</span><span class="p">;</span>
|
||
<a id="__codelineno-15-5" name="__codelineno-15-5" href="#__codelineno-15-5"></a>
|
||
<a id="__codelineno-15-6" name="__codelineno-15-6" href="#__codelineno-15-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-15-7" name="__codelineno-15-7" href="#__codelineno-15-7"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="nf">GraphAdjList</span><span class="p">(</span><span class="n">Vertex</span><span class="o">[][]</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-8" name="__codelineno-15-8" href="#__codelineno-15-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="na">adjList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">HashMap</span><span class="o"><></span><span class="p">();</span>
|
||
<a id="__codelineno-15-9" name="__codelineno-15-9" href="#__codelineno-15-9"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-15-10" name="__codelineno-15-10" href="#__codelineno-15-10"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="o">[]</span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-11" name="__codelineno-15-11" href="#__codelineno-15-11"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="mi">0</span><span class="o">]</span><span class="p">);</span>
|
||
<a id="__codelineno-15-12" name="__codelineno-15-12" href="#__codelineno-15-12"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="mi">1</span><span class="o">]</span><span class="p">);</span>
|
||
<a id="__codelineno-15-13" name="__codelineno-15-13" href="#__codelineno-15-13"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="mi">0</span><span class="o">]</span><span class="p">,</span><span class="w"> </span><span class="n">edge</span><span class="o">[</span><span class="mi">1</span><span class="o">]</span><span class="p">);</span>
|
||
<a id="__codelineno-15-14" name="__codelineno-15-14" href="#__codelineno-15-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-15" name="__codelineno-15-15" href="#__codelineno-15-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-16" name="__codelineno-15-16" href="#__codelineno-15-16"></a>
|
||
<a id="__codelineno-15-17" name="__codelineno-15-17" href="#__codelineno-15-17"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-15-18" name="__codelineno-15-18" href="#__codelineno-15-18"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-19" name="__codelineno-15-19" href="#__codelineno-15-19"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">size</span><span class="p">();</span>
|
||
<a id="__codelineno-15-20" name="__codelineno-15-20" href="#__codelineno-15-20"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-21" name="__codelineno-15-21" href="#__codelineno-15-21"></a>
|
||
<a id="__codelineno-15-22" name="__codelineno-15-22" href="#__codelineno-15-22"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-15-23" name="__codelineno-15-23" href="#__codelineno-15-23"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-24" name="__codelineno-15-24" href="#__codelineno-15-24"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-15-25" name="__codelineno-15-25" href="#__codelineno-15-25"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">IllegalArgumentException</span><span class="p">();</span>
|
||
<a id="__codelineno-15-26" name="__codelineno-15-26" href="#__codelineno-15-26"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-15-27" name="__codelineno-15-27" href="#__codelineno-15-27"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">vet1</span><span class="p">).</span><span class="na">add</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-15-28" name="__codelineno-15-28" href="#__codelineno-15-28"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">vet2</span><span class="p">).</span><span class="na">add</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-15-29" name="__codelineno-15-29" href="#__codelineno-15-29"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-30" name="__codelineno-15-30" href="#__codelineno-15-30"></a>
|
||
<a id="__codelineno-15-31" name="__codelineno-15-31" href="#__codelineno-15-31"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-15-32" name="__codelineno-15-32" href="#__codelineno-15-32"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-33" name="__codelineno-15-33" href="#__codelineno-15-33"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-15-34" name="__codelineno-15-34" href="#__codelineno-15-34"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">IllegalArgumentException</span><span class="p">();</span>
|
||
<a id="__codelineno-15-35" name="__codelineno-15-35" href="#__codelineno-15-35"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-15-36" name="__codelineno-15-36" href="#__codelineno-15-36"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">vet1</span><span class="p">).</span><span class="na">remove</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-15-37" name="__codelineno-15-37" href="#__codelineno-15-37"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">get</span><span class="p">(</span><span class="n">vet2</span><span class="p">).</span><span class="na">remove</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-15-38" name="__codelineno-15-38" href="#__codelineno-15-38"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-39" name="__codelineno-15-39" href="#__codelineno-15-39"></a>
|
||
<a id="__codelineno-15-40" name="__codelineno-15-40" href="#__codelineno-15-40"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-15-41" name="__codelineno-15-41" href="#__codelineno-15-41"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-42" name="__codelineno-15-42" href="#__codelineno-15-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-15-43" name="__codelineno-15-43" href="#__codelineno-15-43"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-15-44" name="__codelineno-15-44" href="#__codelineno-15-44"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-15-45" name="__codelineno-15-45" href="#__codelineno-15-45"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">put</span><span class="p">(</span><span class="n">vet</span><span class="p">,</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">ArrayList</span><span class="o"><></span><span class="p">());</span>
|
||
<a id="__codelineno-15-46" name="__codelineno-15-46" href="#__codelineno-15-46"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-47" name="__codelineno-15-47" href="#__codelineno-15-47"></a>
|
||
<a id="__codelineno-15-48" name="__codelineno-15-48" href="#__codelineno-15-48"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-15-49" name="__codelineno-15-49" href="#__codelineno-15-49"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-50" name="__codelineno-15-50" href="#__codelineno-15-50"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-15-51" name="__codelineno-15-51" href="#__codelineno-15-51"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">IllegalArgumentException</span><span class="p">();</span>
|
||
<a id="__codelineno-15-52" name="__codelineno-15-52" href="#__codelineno-15-52"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-15-53" name="__codelineno-15-53" href="#__codelineno-15-53"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-15-54" name="__codelineno-15-54" href="#__codelineno-15-54"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-15-55" name="__codelineno-15-55" href="#__codelineno-15-55"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">></span><span class="w"> </span><span class="n">list</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">values</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-56" name="__codelineno-15-56" href="#__codelineno-15-56"></a><span class="w"> </span><span class="n">list</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-15-57" name="__codelineno-15-57" href="#__codelineno-15-57"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-58" name="__codelineno-15-58" href="#__codelineno-15-58"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-59" name="__codelineno-15-59" href="#__codelineno-15-59"></a>
|
||
<a id="__codelineno-15-60" name="__codelineno-15-60" href="#__codelineno-15-60"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-15-61" name="__codelineno-15-61" href="#__codelineno-15-61"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-62" name="__codelineno-15-62" href="#__codelineno-15-62"></a><span class="w"> </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="s">"Adjacency list ="</span><span class="p">);</span>
|
||
<a id="__codelineno-15-63" name="__codelineno-15-63" href="#__codelineno-15-63"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">Map</span><span class="p">.</span><span class="na">Entry</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="w"> </span><span class="n">pair</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">entrySet</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-15-64" name="__codelineno-15-64" href="#__codelineno-15-64"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Integer</span><span class="o">></span><span class="w"> </span><span class="n">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="n">ArrayList</span><span class="o"><></span><span class="p">();</span>
|
||
<a id="__codelineno-15-65" name="__codelineno-15-65" href="#__codelineno-15-65"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vertex</span><span class="w"> </span><span class="p">:</span><span class="w"> </span><span class="n">pair</span><span class="p">.</span><span class="na">getValue</span><span class="p">())</span>
|
||
<a id="__codelineno-15-66" name="__codelineno-15-66" href="#__codelineno-15-66"></a><span class="w"> </span><span class="n">tmp</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">vertex</span><span class="p">.</span><span class="na">val</span><span class="p">);</span>
|
||
<a id="__codelineno-15-67" name="__codelineno-15-67" href="#__codelineno-15-67"></a><span class="w"> </span><span class="n">System</span><span class="p">.</span><span class="na">out</span><span class="p">.</span><span class="na">println</span><span class="p">(</span><span class="n">pair</span><span class="p">.</span><span class="na">getKey</span><span class="p">().</span><span class="na">val</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">": "</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">tmp</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">","</span><span class="p">);</span>
|
||
<a id="__codelineno-15-68" name="__codelineno-15-68" href="#__codelineno-15-68"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-69" name="__codelineno-15-69" href="#__codelineno-15-69"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-15-70" name="__codelineno-15-70" href="#__codelineno-15-70"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.cs</span><pre><span></span><code><a id="__codelineno-16-1" name="__codelineno-16-1" href="#__codelineno-16-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-16-2" name="__codelineno-16-2" href="#__codelineno-16-2"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-3" name="__codelineno-16-3" href="#__codelineno-16-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-16-4" name="__codelineno-16-4" href="#__codelineno-16-4"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="n">Dictionary</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="w"> </span><span class="n">adjList</span><span class="p">;</span>
|
||
<a id="__codelineno-16-5" name="__codelineno-16-5" href="#__codelineno-16-5"></a>
|
||
<a id="__codelineno-16-6" name="__codelineno-16-6" href="#__codelineno-16-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-16-7" name="__codelineno-16-7" href="#__codelineno-16-7"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="nf">GraphAdjList</span><span class="p">(</span><span class="n">Vertex</span><span class="p">[][]</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-8" name="__codelineno-16-8" href="#__codelineno-16-8"></a><span class="w"> </span><span class="n">adjList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-16-9" name="__codelineno-16-9" href="#__codelineno-16-9"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-16-10" name="__codelineno-16-10" href="#__codelineno-16-10"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="p">[]</span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-11" name="__codelineno-16-11" href="#__codelineno-16-11"></a><span class="w"> </span><span class="n">AddVertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
|
||
<a id="__codelineno-16-12" name="__codelineno-16-12" href="#__codelineno-16-12"></a><span class="w"> </span><span class="n">AddVertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-16-13" name="__codelineno-16-13" href="#__codelineno-16-13"></a><span class="w"> </span><span class="n">AddEdge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-16-14" name="__codelineno-16-14" href="#__codelineno-16-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-15" name="__codelineno-16-15" href="#__codelineno-16-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-16" name="__codelineno-16-16" href="#__codelineno-16-16"></a>
|
||
<a id="__codelineno-16-17" name="__codelineno-16-17" href="#__codelineno-16-17"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-16-18" name="__codelineno-16-18" href="#__codelineno-16-18"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="nf">Size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-19" name="__codelineno-16-19" href="#__codelineno-16-19"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">Count</span><span class="p">;</span>
|
||
<a id="__codelineno-16-20" name="__codelineno-16-20" href="#__codelineno-16-20"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-21" name="__codelineno-16-21" href="#__codelineno-16-21"></a>
|
||
<a id="__codelineno-16-22" name="__codelineno-16-22" href="#__codelineno-16-22"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-16-23" name="__codelineno-16-23" href="#__codelineno-16-23"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">AddEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-24" name="__codelineno-16-24" href="#__codelineno-16-24"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">ContainsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">ContainsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-16-25" name="__codelineno-16-25" href="#__codelineno-16-25"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="nf">InvalidOperationException</span><span class="p">();</span>
|
||
<a id="__codelineno-16-26" name="__codelineno-16-26" href="#__codelineno-16-26"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-16-27" name="__codelineno-16-27" href="#__codelineno-16-27"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">].</span><span class="n">Add</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-16-28" name="__codelineno-16-28" href="#__codelineno-16-28"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">].</span><span class="n">Add</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-16-29" name="__codelineno-16-29" href="#__codelineno-16-29"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-30" name="__codelineno-16-30" href="#__codelineno-16-30"></a>
|
||
<a id="__codelineno-16-31" name="__codelineno-16-31" href="#__codelineno-16-31"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-16-32" name="__codelineno-16-32" href="#__codelineno-16-32"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">RemoveEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-33" name="__codelineno-16-33" href="#__codelineno-16-33"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">ContainsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">ContainsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-16-34" name="__codelineno-16-34" href="#__codelineno-16-34"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="nf">InvalidOperationException</span><span class="p">();</span>
|
||
<a id="__codelineno-16-35" name="__codelineno-16-35" href="#__codelineno-16-35"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-16-36" name="__codelineno-16-36" href="#__codelineno-16-36"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">].</span><span class="n">Remove</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-16-37" name="__codelineno-16-37" href="#__codelineno-16-37"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">].</span><span class="n">Remove</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-16-38" name="__codelineno-16-38" href="#__codelineno-16-38"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-39" name="__codelineno-16-39" href="#__codelineno-16-39"></a>
|
||
<a id="__codelineno-16-40" name="__codelineno-16-40" href="#__codelineno-16-40"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-16-41" name="__codelineno-16-41" href="#__codelineno-16-41"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">AddVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-42" name="__codelineno-16-42" href="#__codelineno-16-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">adjList</span><span class="p">.</span><span class="n">ContainsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-16-43" name="__codelineno-16-43" href="#__codelineno-16-43"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-16-44" name="__codelineno-16-44" href="#__codelineno-16-44"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-16-45" name="__codelineno-16-45" href="#__codelineno-16-45"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">Add</span><span class="p">(</span><span class="n">vet</span><span class="p">,</span><span class="w"> </span><span class="p">[]);</span>
|
||
<a id="__codelineno-16-46" name="__codelineno-16-46" href="#__codelineno-16-46"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-47" name="__codelineno-16-47" href="#__codelineno-16-47"></a>
|
||
<a id="__codelineno-16-48" name="__codelineno-16-48" href="#__codelineno-16-48"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-16-49" name="__codelineno-16-49" href="#__codelineno-16-49"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">RemoveVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-50" name="__codelineno-16-50" href="#__codelineno-16-50"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">ContainsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-16-51" name="__codelineno-16-51" href="#__codelineno-16-51"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="k">new</span><span class="w"> </span><span class="nf">InvalidOperationException</span><span class="p">();</span>
|
||
<a id="__codelineno-16-52" name="__codelineno-16-52" href="#__codelineno-16-52"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-16-53" name="__codelineno-16-53" href="#__codelineno-16-53"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">Remove</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-16-54" name="__codelineno-16-54" href="#__codelineno-16-54"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-16-55" name="__codelineno-16-55" href="#__codelineno-16-55"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">></span><span class="w"> </span><span class="n">list</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">Values</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-56" name="__codelineno-16-56" href="#__codelineno-16-56"></a><span class="w"> </span><span class="n">list</span><span class="p">.</span><span class="n">Remove</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-16-57" name="__codelineno-16-57" href="#__codelineno-16-57"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-58" name="__codelineno-16-58" href="#__codelineno-16-58"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-59" name="__codelineno-16-59" href="#__codelineno-16-59"></a>
|
||
<a id="__codelineno-16-60" name="__codelineno-16-60" href="#__codelineno-16-60"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-16-61" name="__codelineno-16-61" href="#__codelineno-16-61"></a><span class="w"> </span><span class="k">public</span><span class="w"> </span><span class="k">void</span><span class="w"> </span><span class="nf">Print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-62" name="__codelineno-16-62" href="#__codelineno-16-62"></a><span class="w"> </span><span class="n">Console</span><span class="p">.</span><span class="n">WriteLine</span><span class="p">(</span><span class="s">"Adjacency list ="</span><span class="p">);</span>
|
||
<a id="__codelineno-16-63" name="__codelineno-16-63" href="#__codelineno-16-63"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="n">KeyValuePair</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="w"> </span><span class="n">pair</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjList</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-16-64" name="__codelineno-16-64" href="#__codelineno-16-64"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-16-65" name="__codelineno-16-65" href="#__codelineno-16-65"></a><span class="w"> </span><span class="k">foreach</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vertex</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">pair</span><span class="p">.</span><span class="n">Value</span><span class="p">)</span>
|
||
<a id="__codelineno-16-66" name="__codelineno-16-66" href="#__codelineno-16-66"></a><span class="w"> </span><span class="n">tmp</span><span class="p">.</span><span class="n">Add</span><span class="p">(</span><span class="n">vertex</span><span class="p">.</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-16-67" name="__codelineno-16-67" href="#__codelineno-16-67"></a><span class="w"> </span><span class="n">Console</span><span class="p">.</span><span class="n">WriteLine</span><span class="p">(</span><span class="n">pair</span><span class="p">.</span><span class="n">Key</span><span class="p">.</span><span class="n">val</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">": ["</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="kt">string</span><span class="p">.</span><span class="n">Join</span><span class="p">(</span><span class="s">", "</span><span class="p">,</span><span class="w"> </span><span class="n">tmp</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">"],"</span><span class="p">);</span>
|
||
<a id="__codelineno-16-68" name="__codelineno-16-68" href="#__codelineno-16-68"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-69" name="__codelineno-16-69" href="#__codelineno-16-69"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-16-70" name="__codelineno-16-70" href="#__codelineno-16-70"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.go</span><pre><span></span><code><a id="__codelineno-17-1" name="__codelineno-17-1" href="#__codelineno-17-1"></a><span class="cm">/* Undirected graph type implemented with an adjacency list */</span>
|
||
<a id="__codelineno-17-2" name="__codelineno-17-2" href="#__codelineno-17-2"></a><span class="kd">type</span><span class="w"> </span><span class="nx">graphAdjList</span><span class="w"> </span><span class="kd">struct</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-3" name="__codelineno-17-3" href="#__codelineno-17-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-17-4" name="__codelineno-17-4" href="#__codelineno-17-4"></a><span class="w"> </span><span class="nx">adjList</span><span class="w"> </span><span class="kt">map</span><span class="p">[</span><span class="nx">Vertex</span><span class="p">][]</span><span class="nx">Vertex</span>
|
||
<a id="__codelineno-17-5" name="__codelineno-17-5" href="#__codelineno-17-5"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-6" name="__codelineno-17-6" href="#__codelineno-17-6"></a>
|
||
<a id="__codelineno-17-7" name="__codelineno-17-7" href="#__codelineno-17-7"></a><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-17-8" name="__codelineno-17-8" href="#__codelineno-17-8"></a><span class="kd">func</span><span class="w"> </span><span class="nx">newGraphAdjList</span><span class="p">(</span><span class="nx">edges</span><span class="w"> </span><span class="p">[][]</span><span class="nx">Vertex</span><span class="p">)</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-9" name="__codelineno-17-9" href="#__codelineno-17-9"></a><span class="w"> </span><span class="nx">g</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="o">&</span><span class="nx">graphAdjList</span><span class="p">{</span>
|
||
<a id="__codelineno-17-10" name="__codelineno-17-10" href="#__codelineno-17-10"></a><span class="w"> </span><span class="nx">adjList</span><span class="p">:</span><span class="w"> </span><span class="nb">make</span><span class="p">(</span><span class="kt">map</span><span class="p">[</span><span class="nx">Vertex</span><span class="p">][]</span><span class="nx">Vertex</span><span class="p">),</span>
|
||
<a id="__codelineno-17-11" name="__codelineno-17-11" href="#__codelineno-17-11"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-12" name="__codelineno-17-12" href="#__codelineno-17-12"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-17-13" name="__codelineno-17-13" href="#__codelineno-17-13"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">edge</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">edges</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-14" name="__codelineno-17-14" href="#__codelineno-17-14"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||
<a id="__codelineno-17-15" name="__codelineno-17-15" href="#__codelineno-17-15"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-17-16" name="__codelineno-17-16" href="#__codelineno-17-16"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="nx">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-17-17" name="__codelineno-17-17" href="#__codelineno-17-17"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-18" name="__codelineno-17-18" href="#__codelineno-17-18"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nx">g</span>
|
||
<a id="__codelineno-17-19" name="__codelineno-17-19" href="#__codelineno-17-19"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-20" name="__codelineno-17-20" href="#__codelineno-17-20"></a>
|
||
<a id="__codelineno-17-21" name="__codelineno-17-21" href="#__codelineno-17-21"></a><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-17-22" name="__codelineno-17-22" href="#__codelineno-17-22"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="p">)</span><span class="w"> </span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-23" name="__codelineno-17-23" href="#__codelineno-17-23"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">len</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">)</span>
|
||
<a id="__codelineno-17-24" name="__codelineno-17-24" href="#__codelineno-17-24"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-25" name="__codelineno-17-25" href="#__codelineno-17-25"></a>
|
||
<a id="__codelineno-17-26" name="__codelineno-17-26" href="#__codelineno-17-26"></a><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-17-27" name="__codelineno-17-27" href="#__codelineno-17-27"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="p">)</span><span class="w"> </span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">vet1</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">,</span><span class="w"> </span><span class="nx">vet2</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-28" name="__codelineno-17-28" href="#__codelineno-17-28"></a><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">ok1</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">]</span>
|
||
<a id="__codelineno-17-29" name="__codelineno-17-29" href="#__codelineno-17-29"></a><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">ok2</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">]</span>
|
||
<a id="__codelineno-17-30" name="__codelineno-17-30" href="#__codelineno-17-30"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="o">!</span><span class="nx">ok1</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="nx">ok2</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="nx">vet2</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-31" name="__codelineno-17-31" href="#__codelineno-17-31"></a><span class="w"> </span><span class="nb">panic</span><span class="p">(</span><span class="s">"error"</span><span class="p">)</span>
|
||
<a id="__codelineno-17-32" name="__codelineno-17-32" href="#__codelineno-17-32"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-33" name="__codelineno-17-33" href="#__codelineno-17-33"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2 by appending each vertex to the other vertex's neighbor list</span>
|
||
<a id="__codelineno-17-34" name="__codelineno-17-34" href="#__codelineno-17-34"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">],</span><span class="w"> </span><span class="nx">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-17-35" name="__codelineno-17-35" href="#__codelineno-17-35"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">append</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">],</span><span class="w"> </span><span class="nx">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-17-36" name="__codelineno-17-36" href="#__codelineno-17-36"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-37" name="__codelineno-17-37" href="#__codelineno-17-37"></a>
|
||
<a id="__codelineno-17-38" name="__codelineno-17-38" href="#__codelineno-17-38"></a><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-17-39" name="__codelineno-17-39" href="#__codelineno-17-39"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="p">)</span><span class="w"> </span><span class="nx">removeEdge</span><span class="p">(</span><span class="nx">vet1</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">,</span><span class="w"> </span><span class="nx">vet2</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-40" name="__codelineno-17-40" href="#__codelineno-17-40"></a><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">ok1</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">]</span>
|
||
<a id="__codelineno-17-41" name="__codelineno-17-41" href="#__codelineno-17-41"></a><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">ok2</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">]</span>
|
||
<a id="__codelineno-17-42" name="__codelineno-17-42" href="#__codelineno-17-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="o">!</span><span class="nx">ok1</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="nx">ok2</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="nx">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="nx">vet2</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-43" name="__codelineno-17-43" href="#__codelineno-17-43"></a><span class="w"> </span><span class="nb">panic</span><span class="p">(</span><span class="s">"error"</span><span class="p">)</span>
|
||
<a id="__codelineno-17-44" name="__codelineno-17-44" href="#__codelineno-17-44"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-45" name="__codelineno-17-45" href="#__codelineno-17-45"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-17-46" name="__codelineno-17-46" href="#__codelineno-17-46"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet1</span><span class="p">],</span><span class="w"> </span><span class="nx">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-17-47" name="__codelineno-17-47" href="#__codelineno-17-47"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet2</span><span class="p">],</span><span class="w"> </span><span class="nx">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-17-48" name="__codelineno-17-48" href="#__codelineno-17-48"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-49" name="__codelineno-17-49" href="#__codelineno-17-49"></a>
|
||
<a id="__codelineno-17-50" name="__codelineno-17-50" href="#__codelineno-17-50"></a><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-17-51" name="__codelineno-17-51" href="#__codelineno-17-51"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="p">)</span><span class="w"> </span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">vet</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-52" name="__codelineno-17-52" href="#__codelineno-17-52"></a><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">ok</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet</span><span class="p">]</span>
|
||
<a id="__codelineno-17-53" name="__codelineno-17-53" href="#__codelineno-17-53"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="nx">ok</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-54" name="__codelineno-17-54" href="#__codelineno-17-54"></a><span class="w"> </span><span class="k">return</span>
|
||
<a id="__codelineno-17-55" name="__codelineno-17-55" href="#__codelineno-17-55"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-56" name="__codelineno-17-56" href="#__codelineno-17-56"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-17-57" name="__codelineno-17-57" href="#__codelineno-17-57"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">make</span><span class="p">([]</span><span class="nx">Vertex</span><span class="p">,</span><span class="w"> </span><span class="mi">0</span><span class="p">)</span>
|
||
<a id="__codelineno-17-58" name="__codelineno-17-58" href="#__codelineno-17-58"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-59" name="__codelineno-17-59" href="#__codelineno-17-59"></a>
|
||
<a id="__codelineno-17-60" name="__codelineno-17-60" href="#__codelineno-17-60"></a><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-17-61" name="__codelineno-17-61" href="#__codelineno-17-61"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="p">)</span><span class="w"> </span><span class="nx">removeVertex</span><span class="p">(</span><span class="nx">vet</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-62" name="__codelineno-17-62" href="#__codelineno-17-62"></a><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">ok</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">vet</span><span class="p">]</span>
|
||
<a id="__codelineno-17-63" name="__codelineno-17-63" href="#__codelineno-17-63"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="o">!</span><span class="nx">ok</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-64" name="__codelineno-17-64" href="#__codelineno-17-64"></a><span class="w"> </span><span class="nb">panic</span><span class="p">(</span><span class="s">"error"</span><span class="p">)</span>
|
||
<a id="__codelineno-17-65" name="__codelineno-17-65" href="#__codelineno-17-65"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-66" name="__codelineno-17-66" href="#__codelineno-17-66"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-17-67" name="__codelineno-17-67" href="#__codelineno-17-67"></a><span class="w"> </span><span class="nb">delete</span><span class="p">(</span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">,</span><span class="w"> </span><span class="nx">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-17-68" name="__codelineno-17-68" href="#__codelineno-17-68"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-17-69" name="__codelineno-17-69" href="#__codelineno-17-69"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">v</span><span class="p">,</span><span class="w"> </span><span class="nx">list</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-70" name="__codelineno-17-70" href="#__codelineno-17-70"></a><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="p">[</span><span class="nx">v</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">DeleteSliceElms</span><span class="p">(</span><span class="nx">list</span><span class="p">,</span><span class="w"> </span><span class="nx">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-17-71" name="__codelineno-17-71" href="#__codelineno-17-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-72" name="__codelineno-17-72" href="#__codelineno-17-72"></a><span class="p">}</span>
|
||
<a id="__codelineno-17-73" name="__codelineno-17-73" href="#__codelineno-17-73"></a>
|
||
<a id="__codelineno-17-74" name="__codelineno-17-74" href="#__codelineno-17-74"></a><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-17-75" name="__codelineno-17-75" href="#__codelineno-17-75"></a><span class="kd">func</span><span class="w"> </span><span class="p">(</span><span class="nx">g</span><span class="w"> </span><span class="o">*</span><span class="nx">graphAdjList</span><span class="p">)</span><span class="w"> </span><span class="nb">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-76" name="__codelineno-17-76" href="#__codelineno-17-76"></a><span class="w"> </span><span class="kd">var</span><span class="w"> </span><span class="nx">builder</span><span class="w"> </span><span class="nx">strings</span><span class="p">.</span><span class="nx">Builder</span>
|
||
<a id="__codelineno-17-77" name="__codelineno-17-77" href="#__codelineno-17-77"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Printf</span><span class="p">(</span><span class="s">"Adjacency list = \n"</span><span class="p">)</span>
|
||
<a id="__codelineno-17-78" name="__codelineno-17-78" href="#__codelineno-17-78"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">k</span><span class="p">,</span><span class="w"> </span><span class="nx">v</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">g</span><span class="p">.</span><span class="nx">adjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-79" name="__codelineno-17-79" href="#__codelineno-17-79"></a><span class="w"> </span><span class="nx">builder</span><span class="p">.</span><span class="nx">WriteString</span><span class="p">(</span><span class="s">"\t\t"</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">strconv</span><span class="p">.</span><span class="nx">Itoa</span><span class="p">(</span><span class="nx">k</span><span class="p">.</span><span class="nx">Val</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">": "</span><span class="p">)</span>
|
||
<a id="__codelineno-17-80" name="__codelineno-17-80" href="#__codelineno-17-80"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="nx">_</span><span class="p">,</span><span class="w"> </span><span class="nx">vet</span><span class="w"> </span><span class="o">:=</span><span class="w"> </span><span class="k">range</span><span class="w"> </span><span class="nx">v</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-17-81" name="__codelineno-17-81" href="#__codelineno-17-81"></a><span class="w"> </span><span class="nx">builder</span><span class="p">.</span><span class="nx">WriteString</span><span class="p">(</span><span class="nx">strconv</span><span class="p">.</span><span class="nx">Itoa</span><span class="p">(</span><span class="nx">vet</span><span class="p">.</span><span class="nx">Val</span><span class="p">)</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s">" "</span><span class="p">)</span>
|
||
<a id="__codelineno-17-82" name="__codelineno-17-82" href="#__codelineno-17-82"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-83" name="__codelineno-17-83" href="#__codelineno-17-83"></a><span class="w"> </span><span class="nx">fmt</span><span class="p">.</span><span class="nx">Println</span><span class="p">(</span><span class="nx">builder</span><span class="p">.</span><span class="nx">String</span><span class="p">())</span>
|
||
<a id="__codelineno-17-84" name="__codelineno-17-84" href="#__codelineno-17-84"></a><span class="w"> </span><span class="nx">builder</span><span class="p">.</span><span class="nx">Reset</span><span class="p">()</span>
|
||
<a id="__codelineno-17-85" name="__codelineno-17-85" href="#__codelineno-17-85"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-17-86" name="__codelineno-17-86" href="#__codelineno-17-86"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.swift</span><pre><span></span><code><a id="__codelineno-18-1" name="__codelineno-18-1" href="#__codelineno-18-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-18-2" name="__codelineno-18-2" href="#__codelineno-18-2"></a><span class="kd">class</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-3" name="__codelineno-18-3" href="#__codelineno-18-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-18-4" name="__codelineno-18-4" href="#__codelineno-18-4"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">private</span><span class="p">(</span><span class="kr">set</span><span class="p">)</span><span class="w"> </span><span class="kd">var</span><span class="w"> </span><span class="nv">adjList</span><span class="p">:</span><span class="w"> </span><span class="p">[</span><span class="n">Vertex</span><span class="p">:</span><span class="w"> </span><span class="p">[</span><span class="n">Vertex</span><span class="p">]]</span>
|
||
<a id="__codelineno-18-5" name="__codelineno-18-5" href="#__codelineno-18-5"></a>
|
||
<a id="__codelineno-18-6" name="__codelineno-18-6" href="#__codelineno-18-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-18-7" name="__codelineno-18-7" href="#__codelineno-18-7"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">init</span><span class="p">(</span><span class="n">edges</span><span class="p">:</span><span class="w"> </span><span class="p">[[</span><span class="n">Vertex</span><span class="p">]])</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-8" name="__codelineno-18-8" href="#__codelineno-18-8"></a><span class="w"> </span><span class="n">adjList</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[:]</span>
|
||
<a id="__codelineno-18-9" name="__codelineno-18-9" href="#__codelineno-18-9"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-18-10" name="__codelineno-18-10" href="#__codelineno-18-10"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-11" name="__codelineno-18-11" href="#__codelineno-18-11"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span>
|
||
<a id="__codelineno-18-12" name="__codelineno-18-12" href="#__codelineno-18-12"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-18-13" name="__codelineno-18-13" href="#__codelineno-18-13"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span>
|
||
<a id="__codelineno-18-14" name="__codelineno-18-14" href="#__codelineno-18-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-15" name="__codelineno-18-15" href="#__codelineno-18-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-16" name="__codelineno-18-16" href="#__codelineno-18-16"></a>
|
||
<a id="__codelineno-18-17" name="__codelineno-18-17" href="#__codelineno-18-17"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-18-18" name="__codelineno-18-18" href="#__codelineno-18-18"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">size</span><span class="p">()</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="nb">Int</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-19" name="__codelineno-18-19" href="#__codelineno-18-19"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="bp">count</span>
|
||
<a id="__codelineno-18-20" name="__codelineno-18-20" href="#__codelineno-18-20"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-21" name="__codelineno-18-21" href="#__codelineno-18-21"></a>
|
||
<a id="__codelineno-18-22" name="__codelineno-18-22" href="#__codelineno-18-22"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-18-23" name="__codelineno-18-23" href="#__codelineno-18-23"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-24" name="__codelineno-18-24" href="#__codelineno-18-24"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">]</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="kc">nil</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">]</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="kc">nil</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">vet2</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-25" name="__codelineno-18-25" href="#__codelineno-18-25"></a><span class="w"> </span><span class="bp">fatalError</span><span class="p">(</span><span class="s">"Invalid arguments"</span><span class="p">)</span>
|
||
<a id="__codelineno-18-26" name="__codelineno-18-26" href="#__codelineno-18-26"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-27" name="__codelineno-18-27" href="#__codelineno-18-27"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-18-28" name="__codelineno-18-28" href="#__codelineno-18-28"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">]?.</span><span class="n">append</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-18-29" name="__codelineno-18-29" href="#__codelineno-18-29"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">]?.</span><span class="n">append</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-18-30" name="__codelineno-18-30" href="#__codelineno-18-30"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-31" name="__codelineno-18-31" href="#__codelineno-18-31"></a>
|
||
<a id="__codelineno-18-32" name="__codelineno-18-32" href="#__codelineno-18-32"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-18-33" name="__codelineno-18-33" href="#__codelineno-18-33"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-34" name="__codelineno-18-34" href="#__codelineno-18-34"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">]</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="kc">nil</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">]</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="kc">nil</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">vet2</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-35" name="__codelineno-18-35" href="#__codelineno-18-35"></a><span class="w"> </span><span class="bp">fatalError</span><span class="p">(</span><span class="s">"Invalid arguments"</span><span class="p">)</span>
|
||
<a id="__codelineno-18-36" name="__codelineno-18-36" href="#__codelineno-18-36"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-37" name="__codelineno-18-37" href="#__codelineno-18-37"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-18-38" name="__codelineno-18-38" href="#__codelineno-18-38"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">]?.</span><span class="bp">removeAll</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="nv">$0</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">vet2</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-39" name="__codelineno-18-39" href="#__codelineno-18-39"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">]?.</span><span class="bp">removeAll</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="nv">$0</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-40" name="__codelineno-18-40" href="#__codelineno-18-40"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-41" name="__codelineno-18-41" href="#__codelineno-18-41"></a>
|
||
<a id="__codelineno-18-42" name="__codelineno-18-42" href="#__codelineno-18-42"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-18-43" name="__codelineno-18-43" href="#__codelineno-18-43"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-44" name="__codelineno-18-44" href="#__codelineno-18-44"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet</span><span class="p">]</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="kc">nil</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-45" name="__codelineno-18-45" href="#__codelineno-18-45"></a><span class="w"> </span><span class="k">return</span>
|
||
<a id="__codelineno-18-46" name="__codelineno-18-46" href="#__codelineno-18-46"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-47" name="__codelineno-18-47" href="#__codelineno-18-47"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-18-48" name="__codelineno-18-48" href="#__codelineno-18-48"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet</span><span class="p">]</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="p">[]</span>
|
||
<a id="__codelineno-18-49" name="__codelineno-18-49" href="#__codelineno-18-49"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-50" name="__codelineno-18-50" href="#__codelineno-18-50"></a>
|
||
<a id="__codelineno-18-51" name="__codelineno-18-51" href="#__codelineno-18-51"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-18-52" name="__codelineno-18-52" href="#__codelineno-18-52"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-53" name="__codelineno-18-53" href="#__codelineno-18-53"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet</span><span class="p">]</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="kc">nil</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-54" name="__codelineno-18-54" href="#__codelineno-18-54"></a><span class="w"> </span><span class="bp">fatalError</span><span class="p">(</span><span class="s">"Invalid arguments"</span><span class="p">)</span>
|
||
<a id="__codelineno-18-55" name="__codelineno-18-55" href="#__codelineno-18-55"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-56" name="__codelineno-18-56" href="#__codelineno-18-56"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-18-57" name="__codelineno-18-57" href="#__codelineno-18-57"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">removeValue</span><span class="p">(</span><span class="n">forKey</span><span class="p">:</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-18-58" name="__codelineno-18-58" href="#__codelineno-18-58"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-18-59" name="__codelineno-18-59" href="#__codelineno-18-59"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">key</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">keys</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-60" name="__codelineno-18-60" href="#__codelineno-18-60"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">key</span><span class="p">]?.</span><span class="bp">removeAll</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="nv">$0</span><span class="w"> </span><span class="p">==</span><span class="w"> </span><span class="n">vet</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-61" name="__codelineno-18-61" href="#__codelineno-18-61"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-62" name="__codelineno-18-62" href="#__codelineno-18-62"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-63" name="__codelineno-18-63" href="#__codelineno-18-63"></a>
|
||
<a id="__codelineno-18-64" name="__codelineno-18-64" href="#__codelineno-18-64"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-18-65" name="__codelineno-18-65" href="#__codelineno-18-65"></a><span class="w"> </span><span class="kd">public</span><span class="w"> </span><span class="kd">func</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-66" name="__codelineno-18-66" href="#__codelineno-18-66"></a><span class="w"> </span><span class="n">Swift</span><span class="p">.</span><span class="bp">print</span><span class="p">(</span><span class="s">"Adjacency list ="</span><span class="p">)</span>
|
||
<a id="__codelineno-18-67" name="__codelineno-18-67" href="#__codelineno-18-67"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">vertex</span><span class="p">,</span><span class="w"> </span><span class="n">list</span><span class="p">)</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-18-68" name="__codelineno-18-68" href="#__codelineno-18-68"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="nv">list</span><span class="w"> </span><span class="p">=</span><span class="w"> </span><span class="n">list</span><span class="p">.</span><span class="bp">map</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="nv">$0</span><span class="p">.</span><span class="n">val</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-69" name="__codelineno-18-69" href="#__codelineno-18-69"></a><span class="w"> </span><span class="n">Swift</span><span class="p">.</span><span class="bp">print</span><span class="p">(</span><span class="s">"</span><span class="si">\(</span><span class="n">vertex</span><span class="p">.</span><span class="n">val</span><span class="si">)</span><span class="s">: </span><span class="si">\(</span><span class="n">list</span><span class="si">)</span><span class="s">,"</span><span class="p">)</span>
|
||
<a id="__codelineno-18-70" name="__codelineno-18-70" href="#__codelineno-18-70"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-71" name="__codelineno-18-71" href="#__codelineno-18-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-18-72" name="__codelineno-18-72" href="#__codelineno-18-72"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.js</span><pre><span></span><code><a id="__codelineno-19-1" name="__codelineno-19-1" href="#__codelineno-19-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-19-2" name="__codelineno-19-2" href="#__codelineno-19-2"></a><span class="kd">class</span><span class="w"> </span><span class="nx">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-3" name="__codelineno-19-3" href="#__codelineno-19-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-19-4" name="__codelineno-19-4" href="#__codelineno-19-4"></a><span class="w"> </span><span class="nx">adjList</span><span class="p">;</span>
|
||
<a id="__codelineno-19-5" name="__codelineno-19-5" href="#__codelineno-19-5"></a>
|
||
<a id="__codelineno-19-6" name="__codelineno-19-6" href="#__codelineno-19-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-19-7" name="__codelineno-19-7" href="#__codelineno-19-7"></a><span class="w"> </span><span class="kr">constructor</span><span class="p">(</span><span class="nx">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-8" name="__codelineno-19-8" href="#__codelineno-19-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="nb">Map</span><span class="p">();</span>
|
||
<a id="__codelineno-19-9" name="__codelineno-19-9" href="#__codelineno-19-9"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-19-10" name="__codelineno-19-10" href="#__codelineno-19-10"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">edge</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-11" name="__codelineno-19-11" href="#__codelineno-19-11"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mf">0</span><span class="p">]);</span>
|
||
<a id="__codelineno-19-12" name="__codelineno-19-12" href="#__codelineno-19-12"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mf">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-19-13" name="__codelineno-19-13" href="#__codelineno-19-13"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mf">0</span><span class="p">],</span><span class="w"> </span><span class="nx">edge</span><span class="p">[</span><span class="mf">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-19-14" name="__codelineno-19-14" href="#__codelineno-19-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-15" name="__codelineno-19-15" href="#__codelineno-19-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-16" name="__codelineno-19-16" href="#__codelineno-19-16"></a>
|
||
<a id="__codelineno-19-17" name="__codelineno-19-17" href="#__codelineno-19-17"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-19-18" name="__codelineno-19-18" href="#__codelineno-19-18"></a><span class="w"> </span><span class="nx">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-19" name="__codelineno-19-19" href="#__codelineno-19-19"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">size</span><span class="p">;</span>
|
||
<a id="__codelineno-19-20" name="__codelineno-19-20" href="#__codelineno-19-20"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-21" name="__codelineno-19-21" href="#__codelineno-19-21"></a>
|
||
<a id="__codelineno-19-22" name="__codelineno-19-22" href="#__codelineno-19-22"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-19-23" name="__codelineno-19-23" href="#__codelineno-19-23"></a><span class="w"> </span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">vet1</span><span class="p">,</span><span class="w"> </span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-24" name="__codelineno-19-24" href="#__codelineno-19-24"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span>
|
||
<a id="__codelineno-19-25" name="__codelineno-19-25" href="#__codelineno-19-25"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-19-26" name="__codelineno-19-26" href="#__codelineno-19-26"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-19-27" name="__codelineno-19-27" href="#__codelineno-19-27"></a><span class="w"> </span><span class="nx">vet1</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">vet2</span>
|
||
<a id="__codelineno-19-28" name="__codelineno-19-28" href="#__codelineno-19-28"></a><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-29" name="__codelineno-19-29" href="#__codelineno-19-29"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">Error</span><span class="p">(</span><span class="s1">'Invalid argument'</span><span class="p">);</span>
|
||
<a id="__codelineno-19-30" name="__codelineno-19-30" href="#__codelineno-19-30"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-31" name="__codelineno-19-31" href="#__codelineno-19-31"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-19-32" name="__codelineno-19-32" href="#__codelineno-19-32"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">push</span><span class="p">(</span><span class="nx">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-19-33" name="__codelineno-19-33" href="#__codelineno-19-33"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet2</span><span class="p">).</span><span class="nx">push</span><span class="p">(</span><span class="nx">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-19-34" name="__codelineno-19-34" href="#__codelineno-19-34"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-35" name="__codelineno-19-35" href="#__codelineno-19-35"></a>
|
||
<a id="__codelineno-19-36" name="__codelineno-19-36" href="#__codelineno-19-36"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-19-37" name="__codelineno-19-37" href="#__codelineno-19-37"></a><span class="w"> </span><span class="nx">removeEdge</span><span class="p">(</span><span class="nx">vet1</span><span class="p">,</span><span class="w"> </span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-38" name="__codelineno-19-38" href="#__codelineno-19-38"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span>
|
||
<a id="__codelineno-19-39" name="__codelineno-19-39" href="#__codelineno-19-39"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-19-40" name="__codelineno-19-40" href="#__codelineno-19-40"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-19-41" name="__codelineno-19-41" href="#__codelineno-19-41"></a><span class="w"> </span><span class="nx">vet1</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">vet2</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-19-42" name="__codelineno-19-42" href="#__codelineno-19-42"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="o">-</span><span class="mf">1</span>
|
||
<a id="__codelineno-19-43" name="__codelineno-19-43" href="#__codelineno-19-43"></a><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-44" name="__codelineno-19-44" href="#__codelineno-19-44"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">Error</span><span class="p">(</span><span class="s1">'Invalid argument'</span><span class="p">);</span>
|
||
<a id="__codelineno-19-45" name="__codelineno-19-45" href="#__codelineno-19-45"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-46" name="__codelineno-19-46" href="#__codelineno-19-46"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-19-47" name="__codelineno-19-47" href="#__codelineno-19-47"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">splice</span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet2</span><span class="p">),</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-19-48" name="__codelineno-19-48" href="#__codelineno-19-48"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet2</span><span class="p">).</span><span class="nx">splice</span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet2</span><span class="p">).</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet1</span><span class="p">),</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-19-49" name="__codelineno-19-49" href="#__codelineno-19-49"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-50" name="__codelineno-19-50" href="#__codelineno-19-50"></a>
|
||
<a id="__codelineno-19-51" name="__codelineno-19-51" href="#__codelineno-19-51"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-19-52" name="__codelineno-19-52" href="#__codelineno-19-52"></a><span class="w"> </span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-53" name="__codelineno-19-53" href="#__codelineno-19-53"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet</span><span class="p">))</span><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-19-54" name="__codelineno-19-54" href="#__codelineno-19-54"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-19-55" name="__codelineno-19-55" href="#__codelineno-19-55"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">set</span><span class="p">(</span><span class="nx">vet</span><span class="p">,</span><span class="w"> </span><span class="p">[]);</span>
|
||
<a id="__codelineno-19-56" name="__codelineno-19-56" href="#__codelineno-19-56"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-57" name="__codelineno-19-57" href="#__codelineno-19-57"></a>
|
||
<a id="__codelineno-19-58" name="__codelineno-19-58" href="#__codelineno-19-58"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-19-59" name="__codelineno-19-59" href="#__codelineno-19-59"></a><span class="w"> </span><span class="nx">removeVertex</span><span class="p">(</span><span class="nx">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-60" name="__codelineno-19-60" href="#__codelineno-19-60"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet</span><span class="p">))</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-61" name="__codelineno-19-61" href="#__codelineno-19-61"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">Error</span><span class="p">(</span><span class="s1">'Invalid argument'</span><span class="p">);</span>
|
||
<a id="__codelineno-19-62" name="__codelineno-19-62" href="#__codelineno-19-62"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-63" name="__codelineno-19-63" href="#__codelineno-19-63"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-19-64" name="__codelineno-19-64" href="#__codelineno-19-64"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="ow">delete</span><span class="p">(</span><span class="nx">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-19-65" name="__codelineno-19-65" href="#__codelineno-19-65"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-19-66" name="__codelineno-19-66" href="#__codelineno-19-66"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">set</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">values</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-67" name="__codelineno-19-67" href="#__codelineno-19-67"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">index</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">set</span><span class="p">.</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-19-68" name="__codelineno-19-68" href="#__codelineno-19-68"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">index</span><span class="w"> </span><span class="o">></span><span class="w"> </span><span class="o">-</span><span class="mf">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-69" name="__codelineno-19-69" href="#__codelineno-19-69"></a><span class="w"> </span><span class="nx">set</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-19-70" name="__codelineno-19-70" href="#__codelineno-19-70"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-71" name="__codelineno-19-71" href="#__codelineno-19-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-72" name="__codelineno-19-72" href="#__codelineno-19-72"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-73" name="__codelineno-19-73" href="#__codelineno-19-73"></a>
|
||
<a id="__codelineno-19-74" name="__codelineno-19-74" href="#__codelineno-19-74"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-19-75" name="__codelineno-19-75" href="#__codelineno-19-75"></a><span class="w"> </span><span class="nx">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-76" name="__codelineno-19-76" href="#__codelineno-19-76"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="s1">'Adjacency list ='</span><span class="p">);</span>
|
||
<a id="__codelineno-19-77" name="__codelineno-19-77" href="#__codelineno-19-77"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="p">[</span><span class="nx">key</span><span class="p">,</span><span class="w"> </span><span class="nx">value</span><span class="p">]</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-78" name="__codelineno-19-78" href="#__codelineno-19-78"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-19-79" name="__codelineno-19-79" href="#__codelineno-19-79"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">vertex</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">value</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-19-80" name="__codelineno-19-80" href="#__codelineno-19-80"></a><span class="w"> </span><span class="nx">tmp</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="nx">vertex</span><span class="p">.</span><span class="nx">val</span><span class="p">);</span>
|
||
<a id="__codelineno-19-81" name="__codelineno-19-81" href="#__codelineno-19-81"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-82" name="__codelineno-19-82" href="#__codelineno-19-82"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="nx">key</span><span class="p">.</span><span class="nx">val</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s1">': '</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">tmp</span><span class="p">.</span><span class="nx">join</span><span class="p">());</span>
|
||
<a id="__codelineno-19-83" name="__codelineno-19-83" href="#__codelineno-19-83"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-84" name="__codelineno-19-84" href="#__codelineno-19-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-19-85" name="__codelineno-19-85" href="#__codelineno-19-85"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.ts</span><pre><span></span><code><a id="__codelineno-20-1" name="__codelineno-20-1" href="#__codelineno-20-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-20-2" name="__codelineno-20-2" href="#__codelineno-20-2"></a><span class="kd">class</span><span class="w"> </span><span class="nx">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-3" name="__codelineno-20-3" href="#__codelineno-20-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-20-4" name="__codelineno-20-4" href="#__codelineno-20-4"></a><span class="w"> </span><span class="nx">adjList</span><span class="o">:</span><span class="w"> </span><span class="kt">Map</span><span class="o"><</span><span class="nx">Vertex</span><span class="p">,</span><span class="w"> </span><span class="nx">Vertex</span><span class="p">[]</span><span class="o">></span><span class="p">;</span>
|
||
<a id="__codelineno-20-5" name="__codelineno-20-5" href="#__codelineno-20-5"></a>
|
||
<a id="__codelineno-20-6" name="__codelineno-20-6" href="#__codelineno-20-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-20-7" name="__codelineno-20-7" href="#__codelineno-20-7"></a><span class="w"> </span><span class="kr">constructor</span><span class="p">(</span><span class="nx">edges</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">[][])</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-8" name="__codelineno-20-8" href="#__codelineno-20-8"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="nb">Map</span><span class="p">();</span>
|
||
<a id="__codelineno-20-9" name="__codelineno-20-9" href="#__codelineno-20-9"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-20-10" name="__codelineno-20-10" href="#__codelineno-20-10"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">edge</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-11" name="__codelineno-20-11" href="#__codelineno-20-11"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mf">0</span><span class="p">]);</span>
|
||
<a id="__codelineno-20-12" name="__codelineno-20-12" href="#__codelineno-20-12"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mf">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-20-13" name="__codelineno-20-13" href="#__codelineno-20-13"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">edge</span><span class="p">[</span><span class="mf">0</span><span class="p">],</span><span class="w"> </span><span class="nx">edge</span><span class="p">[</span><span class="mf">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-20-14" name="__codelineno-20-14" href="#__codelineno-20-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-15" name="__codelineno-20-15" href="#__codelineno-20-15"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-16" name="__codelineno-20-16" href="#__codelineno-20-16"></a>
|
||
<a id="__codelineno-20-17" name="__codelineno-20-17" href="#__codelineno-20-17"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-20-18" name="__codelineno-20-18" href="#__codelineno-20-18"></a><span class="w"> </span><span class="nx">size</span><span class="p">()</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-19" name="__codelineno-20-19" href="#__codelineno-20-19"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">size</span><span class="p">;</span>
|
||
<a id="__codelineno-20-20" name="__codelineno-20-20" href="#__codelineno-20-20"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-21" name="__codelineno-20-21" href="#__codelineno-20-21"></a>
|
||
<a id="__codelineno-20-22" name="__codelineno-20-22" href="#__codelineno-20-22"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-20-23" name="__codelineno-20-23" href="#__codelineno-20-23"></a><span class="w"> </span><span class="nx">addEdge</span><span class="p">(</span><span class="nx">vet1</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">,</span><span class="w"> </span><span class="nx">vet2</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-24" name="__codelineno-20-24" href="#__codelineno-20-24"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span>
|
||
<a id="__codelineno-20-25" name="__codelineno-20-25" href="#__codelineno-20-25"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-20-26" name="__codelineno-20-26" href="#__codelineno-20-26"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-20-27" name="__codelineno-20-27" href="#__codelineno-20-27"></a><span class="w"> </span><span class="nx">vet1</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">vet2</span>
|
||
<a id="__codelineno-20-28" name="__codelineno-20-28" href="#__codelineno-20-28"></a><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-29" name="__codelineno-20-29" href="#__codelineno-20-29"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">Error</span><span class="p">(</span><span class="s1">'Invalid argument'</span><span class="p">);</span>
|
||
<a id="__codelineno-20-30" name="__codelineno-20-30" href="#__codelineno-20-30"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-31" name="__codelineno-20-31" href="#__codelineno-20-31"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-20-32" name="__codelineno-20-32" href="#__codelineno-20-32"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">push</span><span class="p">(</span><span class="nx">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-20-33" name="__codelineno-20-33" href="#__codelineno-20-33"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet2</span><span class="p">).</span><span class="nx">push</span><span class="p">(</span><span class="nx">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-20-34" name="__codelineno-20-34" href="#__codelineno-20-34"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-35" name="__codelineno-20-35" href="#__codelineno-20-35"></a>
|
||
<a id="__codelineno-20-36" name="__codelineno-20-36" href="#__codelineno-20-36"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-20-37" name="__codelineno-20-37" href="#__codelineno-20-37"></a><span class="w"> </span><span class="nx">removeEdge</span><span class="p">(</span><span class="nx">vet1</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">,</span><span class="w"> </span><span class="nx">vet2</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-38" name="__codelineno-20-38" href="#__codelineno-20-38"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span>
|
||
<a id="__codelineno-20-39" name="__codelineno-20-39" href="#__codelineno-20-39"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-20-40" name="__codelineno-20-40" href="#__codelineno-20-40"></a><span class="w"> </span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-20-41" name="__codelineno-20-41" href="#__codelineno-20-41"></a><span class="w"> </span><span class="nx">vet1</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="nx">vet2</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-20-42" name="__codelineno-20-42" href="#__codelineno-20-42"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">===</span><span class="w"> </span><span class="o">-</span><span class="mf">1</span>
|
||
<a id="__codelineno-20-43" name="__codelineno-20-43" href="#__codelineno-20-43"></a><span class="w"> </span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-44" name="__codelineno-20-44" href="#__codelineno-20-44"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">Error</span><span class="p">(</span><span class="s1">'Invalid argument'</span><span class="p">);</span>
|
||
<a id="__codelineno-20-45" name="__codelineno-20-45" href="#__codelineno-20-45"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-46" name="__codelineno-20-46" href="#__codelineno-20-46"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-20-47" name="__codelineno-20-47" href="#__codelineno-20-47"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">splice</span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet1</span><span class="p">).</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet2</span><span class="p">),</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-20-48" name="__codelineno-20-48" href="#__codelineno-20-48"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet2</span><span class="p">).</span><span class="nx">splice</span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">get</span><span class="p">(</span><span class="nx">vet2</span><span class="p">).</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet1</span><span class="p">),</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-20-49" name="__codelineno-20-49" href="#__codelineno-20-49"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-50" name="__codelineno-20-50" href="#__codelineno-20-50"></a>
|
||
<a id="__codelineno-20-51" name="__codelineno-20-51" href="#__codelineno-20-51"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-20-52" name="__codelineno-20-52" href="#__codelineno-20-52"></a><span class="w"> </span><span class="nx">addVertex</span><span class="p">(</span><span class="nx">vet</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-53" name="__codelineno-20-53" href="#__codelineno-20-53"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet</span><span class="p">))</span><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-20-54" name="__codelineno-20-54" href="#__codelineno-20-54"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-20-55" name="__codelineno-20-55" href="#__codelineno-20-55"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">set</span><span class="p">(</span><span class="nx">vet</span><span class="p">,</span><span class="w"> </span><span class="p">[]);</span>
|
||
<a id="__codelineno-20-56" name="__codelineno-20-56" href="#__codelineno-20-56"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-57" name="__codelineno-20-57" href="#__codelineno-20-57"></a>
|
||
<a id="__codelineno-20-58" name="__codelineno-20-58" href="#__codelineno-20-58"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-20-59" name="__codelineno-20-59" href="#__codelineno-20-59"></a><span class="w"> </span><span class="nx">removeVertex</span><span class="p">(</span><span class="nx">vet</span><span class="o">:</span><span class="w"> </span><span class="kt">Vertex</span><span class="p">)</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-60" name="__codelineno-20-60" href="#__codelineno-20-60"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">has</span><span class="p">(</span><span class="nx">vet</span><span class="p">))</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-61" name="__codelineno-20-61" href="#__codelineno-20-61"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="ow">new</span><span class="w"> </span><span class="ne">Error</span><span class="p">(</span><span class="s1">'Invalid argument'</span><span class="p">);</span>
|
||
<a id="__codelineno-20-62" name="__codelineno-20-62" href="#__codelineno-20-62"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-63" name="__codelineno-20-63" href="#__codelineno-20-63"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-20-64" name="__codelineno-20-64" href="#__codelineno-20-64"></a><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="ow">delete</span><span class="p">(</span><span class="nx">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-20-65" name="__codelineno-20-65" href="#__codelineno-20-65"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-20-66" name="__codelineno-20-66" href="#__codelineno-20-66"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">set</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">values</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-67" name="__codelineno-20-67" href="#__codelineno-20-67"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">index</span><span class="o">:</span><span class="w"> </span><span class="kt">number</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nx">set</span><span class="p">.</span><span class="nx">indexOf</span><span class="p">(</span><span class="nx">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-20-68" name="__codelineno-20-68" href="#__codelineno-20-68"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nx">index</span><span class="w"> </span><span class="o">></span><span class="w"> </span><span class="o">-</span><span class="mf">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-69" name="__codelineno-20-69" href="#__codelineno-20-69"></a><span class="w"> </span><span class="nx">set</span><span class="p">.</span><span class="nx">splice</span><span class="p">(</span><span class="nx">index</span><span class="p">,</span><span class="w"> </span><span class="mf">1</span><span class="p">);</span>
|
||
<a id="__codelineno-20-70" name="__codelineno-20-70" href="#__codelineno-20-70"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-71" name="__codelineno-20-71" href="#__codelineno-20-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-72" name="__codelineno-20-72" href="#__codelineno-20-72"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-73" name="__codelineno-20-73" href="#__codelineno-20-73"></a>
|
||
<a id="__codelineno-20-74" name="__codelineno-20-74" href="#__codelineno-20-74"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-20-75" name="__codelineno-20-75" href="#__codelineno-20-75"></a><span class="w"> </span><span class="nx">print</span><span class="p">()</span><span class="o">:</span><span class="w"> </span><span class="ow">void</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-76" name="__codelineno-20-76" href="#__codelineno-20-76"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="s1">'Adjacency list ='</span><span class="p">);</span>
|
||
<a id="__codelineno-20-77" name="__codelineno-20-77" href="#__codelineno-20-77"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="p">[</span><span class="nx">key</span><span class="p">,</span><span class="w"> </span><span class="nx">value</span><span class="p">]</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="k">this</span><span class="p">.</span><span class="nx">adjList</span><span class="p">.</span><span class="nx">entries</span><span class="p">())</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-78" name="__codelineno-20-78" href="#__codelineno-20-78"></a><span class="w"> </span><span class="kd">const</span><span class="w"> </span><span class="nx">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-20-79" name="__codelineno-20-79" href="#__codelineno-20-79"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kd">const</span><span class="w"> </span><span class="nx">vertex</span><span class="w"> </span><span class="k">of</span><span class="w"> </span><span class="nx">value</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-20-80" name="__codelineno-20-80" href="#__codelineno-20-80"></a><span class="w"> </span><span class="nx">tmp</span><span class="p">.</span><span class="nx">push</span><span class="p">(</span><span class="nx">vertex</span><span class="p">.</span><span class="nx">val</span><span class="p">);</span>
|
||
<a id="__codelineno-20-81" name="__codelineno-20-81" href="#__codelineno-20-81"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-82" name="__codelineno-20-82" href="#__codelineno-20-82"></a><span class="w"> </span><span class="nx">console</span><span class="p">.</span><span class="nx">log</span><span class="p">(</span><span class="nx">key</span><span class="p">.</span><span class="nx">val</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="s1">': '</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="nx">tmp</span><span class="p">.</span><span class="nx">join</span><span class="p">());</span>
|
||
<a id="__codelineno-20-83" name="__codelineno-20-83" href="#__codelineno-20-83"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-84" name="__codelineno-20-84" href="#__codelineno-20-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-20-85" name="__codelineno-20-85" href="#__codelineno-20-85"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.dart</span><pre><span></span><code><a id="__codelineno-21-1" name="__codelineno-21-1" href="#__codelineno-21-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-21-2" name="__codelineno-21-2" href="#__codelineno-21-2"></a><span class="kd">class</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-3" name="__codelineno-21-3" href="#__codelineno-21-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-21-4" name="__codelineno-21-4" href="#__codelineno-21-4"></a><span class="w"> </span><span class="n">Map</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="w"> </span><span class="n">adjList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">{};</span>
|
||
<a id="__codelineno-21-5" name="__codelineno-21-5" href="#__codelineno-21-5"></a>
|
||
<a id="__codelineno-21-6" name="__codelineno-21-6" href="#__codelineno-21-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-21-7" name="__codelineno-21-7" href="#__codelineno-21-7"></a><span class="w"> </span><span class="n">GraphAdjList</span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-8" name="__codelineno-21-8" href="#__codelineno-21-8"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">List</span><span class="o"><</span><span class="n">Vertex</span><span class="o">></span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-9" name="__codelineno-21-9" href="#__codelineno-21-9"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="m">0</span><span class="p">]);</span>
|
||
<a id="__codelineno-21-10" name="__codelineno-21-10" href="#__codelineno-21-10"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="m">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-21-11" name="__codelineno-21-11" href="#__codelineno-21-11"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="m">0</span><span class="p">],</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="m">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-21-12" name="__codelineno-21-12" href="#__codelineno-21-12"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-13" name="__codelineno-21-13" href="#__codelineno-21-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-14" name="__codelineno-21-14" href="#__codelineno-21-14"></a>
|
||
<a id="__codelineno-21-15" name="__codelineno-21-15" href="#__codelineno-21-15"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-21-16" name="__codelineno-21-16" href="#__codelineno-21-16"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-17" name="__codelineno-21-17" href="#__codelineno-21-17"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">length</span><span class="p">;</span>
|
||
<a id="__codelineno-21-18" name="__codelineno-21-18" href="#__codelineno-21-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-19" name="__codelineno-21-19" href="#__codelineno-21-19"></a>
|
||
<a id="__codelineno-21-20" name="__codelineno-21-20" href="#__codelineno-21-20"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-21-21" name="__codelineno-21-21" href="#__codelineno-21-21"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-22" name="__codelineno-21-22" href="#__codelineno-21-22"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">containsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-21-23" name="__codelineno-21-23" href="#__codelineno-21-23"></a><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">containsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-21-24" name="__codelineno-21-24" href="#__codelineno-21-24"></a><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-25" name="__codelineno-21-25" href="#__codelineno-21-25"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">ArgumentError</span><span class="p">;</span>
|
||
<a id="__codelineno-21-26" name="__codelineno-21-26" href="#__codelineno-21-26"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-27" name="__codelineno-21-27" href="#__codelineno-21-27"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-21-28" name="__codelineno-21-28" href="#__codelineno-21-28"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">]</span><span class="o">!</span><span class="p">.</span><span class="n">add</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-21-29" name="__codelineno-21-29" href="#__codelineno-21-29"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">]</span><span class="o">!</span><span class="p">.</span><span class="n">add</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-21-30" name="__codelineno-21-30" href="#__codelineno-21-30"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-31" name="__codelineno-21-31" href="#__codelineno-21-31"></a>
|
||
<a id="__codelineno-21-32" name="__codelineno-21-32" href="#__codelineno-21-32"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-21-33" name="__codelineno-21-33" href="#__codelineno-21-33"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeEdge</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-34" name="__codelineno-21-34" href="#__codelineno-21-34"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">containsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-21-35" name="__codelineno-21-35" href="#__codelineno-21-35"></a><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">containsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span>
|
||
<a id="__codelineno-21-36" name="__codelineno-21-36" href="#__codelineno-21-36"></a><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-37" name="__codelineno-21-37" href="#__codelineno-21-37"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">ArgumentError</span><span class="p">;</span>
|
||
<a id="__codelineno-21-38" name="__codelineno-21-38" href="#__codelineno-21-38"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-39" name="__codelineno-21-39" href="#__codelineno-21-39"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-21-40" name="__codelineno-21-40" href="#__codelineno-21-40"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet1</span><span class="p">]</span><span class="o">!</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-21-41" name="__codelineno-21-41" href="#__codelineno-21-41"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet2</span><span class="p">]</span><span class="o">!</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-21-42" name="__codelineno-21-42" href="#__codelineno-21-42"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-43" name="__codelineno-21-43" href="#__codelineno-21-43"></a>
|
||
<a id="__codelineno-21-44" name="__codelineno-21-44" href="#__codelineno-21-44"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-21-45" name="__codelineno-21-45" href="#__codelineno-21-45"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-46" name="__codelineno-21-46" href="#__codelineno-21-46"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">adjList</span><span class="p">.</span><span class="n">containsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-21-47" name="__codelineno-21-47" href="#__codelineno-21-47"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-21-48" name="__codelineno-21-48" href="#__codelineno-21-48"></a><span class="w"> </span><span class="n">adjList</span><span class="p">[</span><span class="n">vet</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-21-49" name="__codelineno-21-49" href="#__codelineno-21-49"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-50" name="__codelineno-21-50" href="#__codelineno-21-50"></a>
|
||
<a id="__codelineno-21-51" name="__codelineno-21-51" href="#__codelineno-21-51"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-21-52" name="__codelineno-21-52" href="#__codelineno-21-52"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">removeVertex</span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-53" name="__codelineno-21-53" href="#__codelineno-21-53"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="n">containsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-54" name="__codelineno-21-54" href="#__codelineno-21-54"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">ArgumentError</span><span class="p">;</span>
|
||
<a id="__codelineno-21-55" name="__codelineno-21-55" href="#__codelineno-21-55"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-56" name="__codelineno-21-56" href="#__codelineno-21-56"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-21-57" name="__codelineno-21-57" href="#__codelineno-21-57"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-21-58" name="__codelineno-21-58" href="#__codelineno-21-58"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-21-59" name="__codelineno-21-59" href="#__codelineno-21-59"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">forEach</span><span class="p">((</span><span class="n">key</span><span class="p">,</span><span class="w"> </span><span class="n">value</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-60" name="__codelineno-21-60" href="#__codelineno-21-60"></a><span class="w"> </span><span class="n">value</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-21-61" name="__codelineno-21-61" href="#__codelineno-21-61"></a><span class="w"> </span><span class="p">});</span>
|
||
<a id="__codelineno-21-62" name="__codelineno-21-62" href="#__codelineno-21-62"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-63" name="__codelineno-21-63" href="#__codelineno-21-63"></a>
|
||
<a id="__codelineno-21-64" name="__codelineno-21-64" href="#__codelineno-21-64"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-21-65" name="__codelineno-21-65" href="#__codelineno-21-65"></a><span class="w"> </span><span class="kt">void</span><span class="w"> </span><span class="n">printAdjList</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-66" name="__codelineno-21-66" href="#__codelineno-21-66"></a><span class="w"> </span><span class="n">print</span><span class="p">(</span><span class="s2">"Adjacency list ="</span><span class="p">);</span>
|
||
<a id="__codelineno-21-67" name="__codelineno-21-67" href="#__codelineno-21-67"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="n">forEach</span><span class="p">((</span><span class="n">key</span><span class="p">,</span><span class="w"> </span><span class="n">value</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-68" name="__codelineno-21-68" href="#__codelineno-21-68"></a><span class="w"> </span><span class="n">List</span><span class="o"><</span><span class="kt">int</span><span class="o">></span><span class="w"> </span><span class="n">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">[];</span>
|
||
<a id="__codelineno-21-69" name="__codelineno-21-69" href="#__codelineno-21-69"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">Vertex</span><span class="w"> </span><span class="n">vertex</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">value</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-21-70" name="__codelineno-21-70" href="#__codelineno-21-70"></a><span class="w"> </span><span class="n">tmp</span><span class="p">.</span><span class="n">add</span><span class="p">(</span><span class="n">vertex</span><span class="p">.</span><span class="n">val</span><span class="p">);</span>
|
||
<a id="__codelineno-21-71" name="__codelineno-21-71" href="#__codelineno-21-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-72" name="__codelineno-21-72" href="#__codelineno-21-72"></a><span class="w"> </span><span class="n">print</span><span class="p">(</span><span class="s2">"</span><span class="si">${</span><span class="n">key</span><span class="p">.</span><span class="n">val</span><span class="si">}</span><span class="s2">: </span><span class="si">$</span><span class="n">tmp</span><span class="s2">,"</span><span class="p">);</span>
|
||
<a id="__codelineno-21-73" name="__codelineno-21-73" href="#__codelineno-21-73"></a><span class="w"> </span><span class="p">});</span>
|
||
<a id="__codelineno-21-74" name="__codelineno-21-74" href="#__codelineno-21-74"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-21-75" name="__codelineno-21-75" href="#__codelineno-21-75"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.rs</span><pre><span></span><code><a id="__codelineno-22-1" name="__codelineno-22-1" href="#__codelineno-22-1"></a><span class="cm">/* Undirected graph type implemented with an adjacency list */</span>
|
||
<a id="__codelineno-22-2" name="__codelineno-22-2" href="#__codelineno-22-2"></a><span class="k">pub</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-3" name="__codelineno-22-3" href="#__codelineno-22-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-22-4" name="__codelineno-22-4" href="#__codelineno-22-4"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="n">adj_list</span><span class="p">:</span><span class="w"> </span><span class="nc">HashMap</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="p">,</span><span class="w"> </span><span class="c1">// A HashSet<Vertex> may be a better choice for the neighbor collection</span>
|
||
<a id="__codelineno-22-5" name="__codelineno-22-5" href="#__codelineno-22-5"></a><span class="p">}</span>
|
||
<a id="__codelineno-22-6" name="__codelineno-22-6" href="#__codelineno-22-6"></a>
|
||
<a id="__codelineno-22-7" name="__codelineno-22-7" href="#__codelineno-22-7"></a><span class="k">impl</span><span class="w"> </span><span class="n">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-8" name="__codelineno-22-8" href="#__codelineno-22-8"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-22-9" name="__codelineno-22-9" href="#__codelineno-22-9"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">new</span><span class="p">(</span><span class="n">edges</span><span class="p">:</span><span class="w"> </span><span class="nb">Vec</span><span class="o"><</span><span class="p">[</span><span class="n">Vertex</span><span class="p">;</span><span class="w"> </span><span class="mi">2</span><span class="p">]</span><span class="o">></span><span class="p">)</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="nc">Self</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-10" name="__codelineno-22-10" href="#__codelineno-22-10"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="k">mut</span><span class="w"> </span><span class="n">graph</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">GraphAdjList</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-11" name="__codelineno-22-11" href="#__codelineno-22-11"></a><span class="w"> </span><span class="n">adj_list</span><span class="p">:</span><span class="w"> </span><span class="nc">HashMap</span><span class="p">::</span><span class="n">new</span><span class="p">(),</span>
|
||
<a id="__codelineno-22-12" name="__codelineno-22-12" href="#__codelineno-22-12"></a><span class="w"> </span><span class="p">};</span>
|
||
<a id="__codelineno-22-13" name="__codelineno-22-13" href="#__codelineno-22-13"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-22-14" name="__codelineno-22-14" href="#__codelineno-22-14"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-15" name="__codelineno-22-15" href="#__codelineno-22-15"></a><span class="w"> </span><span class="n">graph</span><span class="p">.</span><span class="n">add_vertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">]);</span>
|
||
<a id="__codelineno-22-16" name="__codelineno-22-16" href="#__codelineno-22-16"></a><span class="w"> </span><span class="n">graph</span><span class="p">.</span><span class="n">add_vertex</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-22-17" name="__codelineno-22-17" href="#__codelineno-22-17"></a><span class="w"> </span><span class="n">graph</span><span class="p">.</span><span class="n">add_edge</span><span class="p">(</span><span class="n">edge</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span><span class="w"> </span><span class="n">edge</span><span class="p">[</span><span class="mi">1</span><span class="p">]);</span>
|
||
<a id="__codelineno-22-18" name="__codelineno-22-18" href="#__codelineno-22-18"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-19" name="__codelineno-22-19" href="#__codelineno-22-19"></a>
|
||
<a id="__codelineno-22-20" name="__codelineno-22-20" href="#__codelineno-22-20"></a><span class="w"> </span><span class="n">graph</span>
|
||
<a id="__codelineno-22-21" name="__codelineno-22-21" href="#__codelineno-22-21"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-22" name="__codelineno-22-22" href="#__codelineno-22-22"></a>
|
||
<a id="__codelineno-22-23" name="__codelineno-22-23" href="#__codelineno-22-23"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-22-24" name="__codelineno-22-24" href="#__codelineno-22-24"></a><span class="w"> </span><span class="cp">#[allow(unused)]</span>
|
||
<a id="__codelineno-22-25" name="__codelineno-22-25" href="#__codelineno-22-25"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">size</span><span class="p">(</span><span class="o">&</span><span class="bp">self</span><span class="p">)</span><span class="w"> </span><span class="p">-></span><span class="w"> </span><span class="kt">usize</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-26" name="__codelineno-22-26" href="#__codelineno-22-26"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">len</span><span class="p">()</span>
|
||
<a id="__codelineno-22-27" name="__codelineno-22-27" href="#__codelineno-22-27"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-28" name="__codelineno-22-28" href="#__codelineno-22-28"></a>
|
||
<a id="__codelineno-22-29" name="__codelineno-22-29" href="#__codelineno-22-29"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-22-30" name="__codelineno-22-30" href="#__codelineno-22-30"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">add_edge</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="nc">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="nc">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-31" name="__codelineno-22-31" href="#__codelineno-22-31"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-32" name="__codelineno-22-32" href="#__codelineno-22-32"></a><span class="w"> </span><span class="fm">panic!</span><span class="p">(</span><span class="s">"Vertices must be distinct"</span><span class="p">);</span>
|
||
<a id="__codelineno-22-33" name="__codelineno-22-33" href="#__codelineno-22-33"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-34" name="__codelineno-22-34" href="#__codelineno-22-34"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-22-35" name="__codelineno-22-35" href="#__codelineno-22-35"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">entry</span><span class="p">(</span><span class="n">vet1</span><span class="p">).</span><span class="n">or_default</span><span class="p">().</span><span class="n">push</span><span class="p">(</span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-22-36" name="__codelineno-22-36" href="#__codelineno-22-36"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">entry</span><span class="p">(</span><span class="n">vet2</span><span class="p">).</span><span class="n">or_default</span><span class="p">().</span><span class="n">push</span><span class="p">(</span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-22-37" name="__codelineno-22-37" href="#__codelineno-22-37"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-38" name="__codelineno-22-38" href="#__codelineno-22-38"></a>
|
||
<a id="__codelineno-22-39" name="__codelineno-22-39" href="#__codelineno-22-39"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-22-40" name="__codelineno-22-40" href="#__codelineno-22-40"></a><span class="w"> </span><span class="cp">#[allow(unused)]</span>
|
||
<a id="__codelineno-22-41" name="__codelineno-22-41" href="#__codelineno-22-41"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">remove_edge</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="nc">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="nc">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-42" name="__codelineno-22-42" href="#__codelineno-22-42"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-43" name="__codelineno-22-43" href="#__codelineno-22-43"></a><span class="w"> </span><span class="fm">panic!</span><span class="p">(</span><span class="s">"Vertices must be distinct"</span><span class="p">);</span>
|
||
<a id="__codelineno-22-44" name="__codelineno-22-44" href="#__codelineno-22-44"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-45" name="__codelineno-22-45" href="#__codelineno-22-45"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-22-46" name="__codelineno-22-46" href="#__codelineno-22-46"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span>
|
||
<a id="__codelineno-22-47" name="__codelineno-22-47" href="#__codelineno-22-47"></a><span class="w"> </span><span class="p">.</span><span class="n">entry</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-22-48" name="__codelineno-22-48" href="#__codelineno-22-48"></a><span class="w"> </span><span class="p">.</span><span class="n">and_modify</span><span class="p">(</span><span class="o">|</span><span class="n">v</span><span class="o">|</span><span class="w"> </span><span class="n">v</span><span class="p">.</span><span class="n">retain</span><span class="p">(</span><span class="o">|&</span><span class="n">e</span><span class="o">|</span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">vet2</span><span class="p">));</span>
|
||
<a id="__codelineno-22-49" name="__codelineno-22-49" href="#__codelineno-22-49"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span>
|
||
<a id="__codelineno-22-50" name="__codelineno-22-50" href="#__codelineno-22-50"></a><span class="w"> </span><span class="p">.</span><span class="n">entry</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-22-51" name="__codelineno-22-51" href="#__codelineno-22-51"></a><span class="w"> </span><span class="p">.</span><span class="n">and_modify</span><span class="p">(</span><span class="o">|</span><span class="n">v</span><span class="o">|</span><span class="w"> </span><span class="n">v</span><span class="p">.</span><span class="n">retain</span><span class="p">(</span><span class="o">|&</span><span class="n">e</span><span class="o">|</span><span class="w"> </span><span class="n">e</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">vet1</span><span class="p">));</span>
|
||
<a id="__codelineno-22-52" name="__codelineno-22-52" href="#__codelineno-22-52"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-53" name="__codelineno-22-53" href="#__codelineno-22-53"></a>
|
||
<a id="__codelineno-22-54" name="__codelineno-22-54" href="#__codelineno-22-54"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-22-55" name="__codelineno-22-55" href="#__codelineno-22-55"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">add_vertex</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="nc">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-56" name="__codelineno-22-56" href="#__codelineno-22-56"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">contains_key</span><span class="p">(</span><span class="o">&</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-57" name="__codelineno-22-57" href="#__codelineno-22-57"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-22-58" name="__codelineno-22-58" href="#__codelineno-22-58"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-59" name="__codelineno-22-59" href="#__codelineno-22-59"></a><span class="w"> </span><span class="c1">// Add a new neighbor list to the adjacency list</span>
|
||
<a id="__codelineno-22-60" name="__codelineno-22-60" href="#__codelineno-22-60"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">insert</span><span class="p">(</span><span class="n">vet</span><span class="p">,</span><span class="w"> </span><span class="fm">vec!</span><span class="p">[]);</span>
|
||
<a id="__codelineno-22-61" name="__codelineno-22-61" href="#__codelineno-22-61"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-62" name="__codelineno-22-62" href="#__codelineno-22-62"></a>
|
||
<a id="__codelineno-22-63" name="__codelineno-22-63" href="#__codelineno-22-63"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-22-64" name="__codelineno-22-64" href="#__codelineno-22-64"></a><span class="w"> </span><span class="cp">#[allow(unused)]</span>
|
||
<a id="__codelineno-22-65" name="__codelineno-22-65" href="#__codelineno-22-65"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">remove_vertex</span><span class="p">(</span><span class="o">&</span><span class="k">mut</span><span class="w"> </span><span class="bp">self</span><span class="p">,</span><span class="w"> </span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="nc">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-66" name="__codelineno-22-66" href="#__codelineno-22-66"></a><span class="w"> </span><span class="c1">// Remove the neighbor list for vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-22-67" name="__codelineno-22-67" href="#__codelineno-22-67"></a><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">remove</span><span class="p">(</span><span class="o">&</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-22-68" name="__codelineno-22-68" href="#__codelineno-22-68"></a><span class="w"> </span><span class="c1">// Traverse the other neighbor lists and remove every edge incident to vet</span>
|
||
<a id="__codelineno-22-69" name="__codelineno-22-69" href="#__codelineno-22-69"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">list</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="p">.</span><span class="n">values_mut</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-70" name="__codelineno-22-70" href="#__codelineno-22-70"></a><span class="w"> </span><span class="n">list</span><span class="p">.</span><span class="n">retain</span><span class="p">(</span><span class="o">|&</span><span class="n">v</span><span class="o">|</span><span class="w"> </span><span class="n">v</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-22-71" name="__codelineno-22-71" href="#__codelineno-22-71"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-72" name="__codelineno-22-72" href="#__codelineno-22-72"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-73" name="__codelineno-22-73" href="#__codelineno-22-73"></a>
|
||
<a id="__codelineno-22-74" name="__codelineno-22-74" href="#__codelineno-22-74"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-22-75" name="__codelineno-22-75" href="#__codelineno-22-75"></a><span class="w"> </span><span class="k">pub</span><span class="w"> </span><span class="k">fn</span><span class="w"> </span><span class="nf">print</span><span class="p">(</span><span class="o">&</span><span class="bp">self</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-76" name="__codelineno-22-76" href="#__codelineno-22-76"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">"Adjacency list ="</span><span class="p">);</span>
|
||
<a id="__codelineno-22-77" name="__codelineno-22-77" href="#__codelineno-22-77"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">vertex</span><span class="p">,</span><span class="w"> </span><span class="n">list</span><span class="p">)</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="o">&</span><span class="bp">self</span><span class="p">.</span><span class="n">adj_list</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-22-78" name="__codelineno-22-78" href="#__codelineno-22-78"></a><span class="w"> </span><span class="kd">let</span><span class="w"> </span><span class="n">list</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">list</span><span class="p">.</span><span class="n">iter</span><span class="p">().</span><span class="n">map</span><span class="p">(</span><span class="o">|</span><span class="n">vertex</span><span class="o">|</span><span class="w"> </span><span class="n">vertex</span><span class="p">.</span><span class="n">val</span><span class="p">).</span><span class="n">collect</span><span class="p">::</span><span class="o"><</span><span class="nb">Vec</span><span class="o"><</span><span class="kt">i32</span><span class="o">>></span><span class="p">();</span>
|
||
<a id="__codelineno-22-79" name="__codelineno-22-79" href="#__codelineno-22-79"></a><span class="w"> </span><span class="fm">println!</span><span class="p">(</span><span class="s">"{}: {:?},"</span><span class="p">,</span><span class="w"> </span><span class="n">vertex</span><span class="p">.</span><span class="n">val</span><span class="p">,</span><span class="w"> </span><span class="n">list</span><span class="p">);</span>
|
||
<a id="__codelineno-22-80" name="__codelineno-22-80" href="#__codelineno-22-80"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-81" name="__codelineno-22-81" href="#__codelineno-22-81"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-22-82" name="__codelineno-22-82" href="#__codelineno-22-82"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.c</span><pre><span></span><code><a id="__codelineno-23-1" name="__codelineno-23-1" href="#__codelineno-23-1"></a><span class="cm">/* Adjacency-list node structure */</span>
|
||
<a id="__codelineno-23-2" name="__codelineno-23-2" href="#__codelineno-23-2"></a><span class="k">typedef</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">AdjListNode</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-3" name="__codelineno-23-3" href="#__codelineno-23-3"></a><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vertex</span><span class="p">;</span><span class="w"> </span><span class="c1">// Vertex</span>
|
||
<a id="__codelineno-23-4" name="__codelineno-23-4" href="#__codelineno-23-4"></a><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="nc">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">next</span><span class="p">;</span><span class="w"> </span><span class="c1">// Next node</span>
|
||
<a id="__codelineno-23-5" name="__codelineno-23-5" href="#__codelineno-23-5"></a><span class="p">}</span><span class="w"> </span><span class="n">AdjListNode</span><span class="p">;</span>
|
||
<a id="__codelineno-23-6" name="__codelineno-23-6" href="#__codelineno-23-6"></a>
|
||
<a id="__codelineno-23-7" name="__codelineno-23-7" href="#__codelineno-23-7"></a><span class="cm">/* Find the list node corresponding to a vertex */</span>
|
||
<a id="__codelineno-23-8" name="__codelineno-23-8" href="#__codelineno-23-8"></a><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="nf">findNode</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-9" name="__codelineno-23-9" href="#__codelineno-23-9"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-10" name="__codelineno-23-10" href="#__codelineno-23-10"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-></span><span class="n">vertex</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-11" name="__codelineno-23-11" href="#__codelineno-23-11"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
|
||
<a id="__codelineno-23-12" name="__codelineno-23-12" href="#__codelineno-23-12"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-13" name="__codelineno-23-13" href="#__codelineno-23-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-14" name="__codelineno-23-14" href="#__codelineno-23-14"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-15" name="__codelineno-23-15" href="#__codelineno-23-15"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-16" name="__codelineno-23-16" href="#__codelineno-23-16"></a>
|
||
<a id="__codelineno-23-17" name="__codelineno-23-17" href="#__codelineno-23-17"></a><span class="cm">/* Helper for adding an edge */</span>
|
||
<a id="__codelineno-23-18" name="__codelineno-23-18" href="#__codelineno-23-18"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addEdgeHelper</span><span class="p">(</span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-19" name="__codelineno-23-19" href="#__codelineno-23-19"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">node</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">AdjListNode</span><span class="p">));</span>
|
||
<a id="__codelineno-23-20" name="__codelineno-23-20" href="#__codelineno-23-20"></a><span class="w"> </span><span class="n">node</span><span class="o">-></span><span class="n">vertex</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">vet</span><span class="p">;</span>
|
||
<a id="__codelineno-23-21" name="__codelineno-23-21" href="#__codelineno-23-21"></a><span class="w"> </span><span class="c1">// Insert at the front of the neighbor list</span>
|
||
<a id="__codelineno-23-22" name="__codelineno-23-22" href="#__codelineno-23-22"></a><span class="w"> </span><span class="n">node</span><span class="o">-></span><span class="n">next</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">head</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-23" name="__codelineno-23-23" href="#__codelineno-23-23"></a><span class="w"> </span><span class="n">head</span><span class="o">-></span><span class="n">next</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">node</span><span class="p">;</span>
|
||
<a id="__codelineno-23-24" name="__codelineno-23-24" href="#__codelineno-23-24"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-25" name="__codelineno-23-25" href="#__codelineno-23-25"></a>
|
||
<a id="__codelineno-23-26" name="__codelineno-23-26" href="#__codelineno-23-26"></a><span class="cm">/* Helper for removing an edge */</span>
|
||
<a id="__codelineno-23-27" name="__codelineno-23-27" href="#__codelineno-23-27"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdgeHelper</span><span class="p">(</span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-28" name="__codelineno-23-28" href="#__codelineno-23-28"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">pre</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">head</span><span class="p">;</span>
|
||
<a id="__codelineno-23-29" name="__codelineno-23-29" href="#__codelineno-23-29"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">head</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-30" name="__codelineno-23-30" href="#__codelineno-23-30"></a><span class="w"> </span><span class="c1">// Search the linked list for the node corresponding to vet</span>
|
||
<a id="__codelineno-23-31" name="__codelineno-23-31" href="#__codelineno-23-31"></a><span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="w"> </span><span class="o">&&</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">vertex</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-32" name="__codelineno-23-32" href="#__codelineno-23-32"></a><span class="w"> </span><span class="n">pre</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="p">;</span>
|
||
<a id="__codelineno-23-33" name="__codelineno-23-33" href="#__codelineno-23-33"></a><span class="w"> </span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-34" name="__codelineno-23-34" href="#__codelineno-23-34"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-35" name="__codelineno-23-35" href="#__codelineno-23-35"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="nb">NULL</span><span class="p">)</span>
|
||
<a id="__codelineno-23-36" name="__codelineno-23-36" href="#__codelineno-23-36"></a><span class="w"> </span><span class="k">return</span><span class="p">;</span>
|
||
<a id="__codelineno-23-37" name="__codelineno-23-37" href="#__codelineno-23-37"></a><span class="w"> </span><span class="c1">// Remove the node corresponding to vet from the linked list</span>
|
||
<a id="__codelineno-23-38" name="__codelineno-23-38" href="#__codelineno-23-38"></a><span class="w"> </span><span class="n">pre</span><span class="o">-></span><span class="n">next</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-39" name="__codelineno-23-39" href="#__codelineno-23-39"></a><span class="w"> </span><span class="c1">// Free memory</span>
|
||
<a id="__codelineno-23-40" name="__codelineno-23-40" href="#__codelineno-23-40"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">cur</span><span class="p">);</span>
|
||
<a id="__codelineno-23-41" name="__codelineno-23-41" href="#__codelineno-23-41"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-42" name="__codelineno-23-42" href="#__codelineno-23-42"></a>
|
||
<a id="__codelineno-23-43" name="__codelineno-23-43" href="#__codelineno-23-43"></a><span class="cm">/* Undirected graph structure implemented with an adjacency list */</span>
|
||
<a id="__codelineno-23-44" name="__codelineno-23-44" href="#__codelineno-23-44"></a><span class="k">typedef</span><span class="w"> </span><span class="k">struct</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-45" name="__codelineno-23-45" href="#__codelineno-23-45"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">heads</span><span class="p">[</span><span class="n">MAX_SIZE</span><span class="p">];</span><span class="w"> </span><span class="c1">// Array of list heads</span>
|
||
<a id="__codelineno-23-46" name="__codelineno-23-46" href="#__codelineno-23-46"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="c1">// Number of vertices</span>
|
||
<a id="__codelineno-23-47" name="__codelineno-23-47" href="#__codelineno-23-47"></a><span class="p">}</span><span class="w"> </span><span class="n">GraphAdjList</span><span class="p">;</span>
|
||
<a id="__codelineno-23-48" name="__codelineno-23-48" href="#__codelineno-23-48"></a>
|
||
<a id="__codelineno-23-49" name="__codelineno-23-49" href="#__codelineno-23-49"></a><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-23-50" name="__codelineno-23-50" href="#__codelineno-23-50"></a><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="nf">newGraphAdjList</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-51" name="__codelineno-23-51" href="#__codelineno-23-51"></a><span class="w"> </span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="p">));</span>
|
||
<a id="__codelineno-23-52" name="__codelineno-23-52" href="#__codelineno-23-52"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">graph</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-53" name="__codelineno-23-53" href="#__codelineno-23-53"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-54" name="__codelineno-23-54" href="#__codelineno-23-54"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-55" name="__codelineno-23-55" href="#__codelineno-23-55"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span>
|
||
<a id="__codelineno-23-56" name="__codelineno-23-56" href="#__codelineno-23-56"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">MAX_SIZE</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-57" name="__codelineno-23-57" href="#__codelineno-23-57"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-58" name="__codelineno-23-58" href="#__codelineno-23-58"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-59" name="__codelineno-23-59" href="#__codelineno-23-59"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">graph</span><span class="p">;</span>
|
||
<a id="__codelineno-23-60" name="__codelineno-23-60" href="#__codelineno-23-60"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-61" name="__codelineno-23-61" href="#__codelineno-23-61"></a>
|
||
<a id="__codelineno-23-62" name="__codelineno-23-62" href="#__codelineno-23-62"></a><span class="cm">/* Destructor */</span>
|
||
<a id="__codelineno-23-63" name="__codelineno-23-63" href="#__codelineno-23-63"></a><span class="kt">void</span><span class="w"> </span><span class="nf">delGraphAdjList</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-64" name="__codelineno-23-64" href="#__codelineno-23-64"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-65" name="__codelineno-23-65" href="#__codelineno-23-65"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
|
||
<a id="__codelineno-23-66" name="__codelineno-23-66" href="#__codelineno-23-66"></a><span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-67" name="__codelineno-23-67" href="#__codelineno-23-67"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">next</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-68" name="__codelineno-23-68" href="#__codelineno-23-68"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">])</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-69" name="__codelineno-23-69" href="#__codelineno-23-69"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">cur</span><span class="p">);</span>
|
||
<a id="__codelineno-23-70" name="__codelineno-23-70" href="#__codelineno-23-70"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-71" name="__codelineno-23-71" href="#__codelineno-23-71"></a><span class="w"> </span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-72" name="__codelineno-23-72" href="#__codelineno-23-72"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-73" name="__codelineno-23-73" href="#__codelineno-23-73"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-></span><span class="n">vertex</span><span class="p">);</span>
|
||
<a id="__codelineno-23-74" name="__codelineno-23-74" href="#__codelineno-23-74"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">]);</span>
|
||
<a id="__codelineno-23-75" name="__codelineno-23-75" href="#__codelineno-23-75"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-76" name="__codelineno-23-76" href="#__codelineno-23-76"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">graph</span><span class="p">);</span>
|
||
<a id="__codelineno-23-77" name="__codelineno-23-77" href="#__codelineno-23-77"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-78" name="__codelineno-23-78" href="#__codelineno-23-78"></a>
|
||
<a id="__codelineno-23-79" name="__codelineno-23-79" href="#__codelineno-23-79"></a><span class="cm">/* Find the list node corresponding to a vertex */</span>
|
||
<a id="__codelineno-23-80" name="__codelineno-23-80" href="#__codelineno-23-80"></a><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="nf">findNode</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-81" name="__codelineno-23-81" href="#__codelineno-23-81"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-82" name="__codelineno-23-82" href="#__codelineno-23-82"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="o">-></span><span class="n">vertex</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-83" name="__codelineno-23-83" href="#__codelineno-23-83"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
|
||
<a id="__codelineno-23-84" name="__codelineno-23-84" href="#__codelineno-23-84"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-85" name="__codelineno-23-85" href="#__codelineno-23-85"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-86" name="__codelineno-23-86" href="#__codelineno-23-86"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-87" name="__codelineno-23-87" href="#__codelineno-23-87"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-88" name="__codelineno-23-88" href="#__codelineno-23-88"></a>
|
||
<a id="__codelineno-23-89" name="__codelineno-23-89" href="#__codelineno-23-89"></a><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-23-90" name="__codelineno-23-90" href="#__codelineno-23-90"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-91" name="__codelineno-23-91" href="#__codelineno-23-91"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">findNode</span><span class="p">(</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-23-92" name="__codelineno-23-92" href="#__codelineno-23-92"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">findNode</span><span class="p">(</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-23-93" name="__codelineno-23-93" href="#__codelineno-23-93"></a><span class="w"> </span><span class="n">assert</span><span class="p">(</span><span class="n">head1</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="w"> </span><span class="o">&&</span><span class="w"> </span><span class="n">head2</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="w"> </span><span class="o">&&</span><span class="w"> </span><span class="n">head1</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="n">head2</span><span class="p">);</span>
|
||
<a id="__codelineno-23-94" name="__codelineno-23-94" href="#__codelineno-23-94"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-23-95" name="__codelineno-23-95" href="#__codelineno-23-95"></a><span class="w"> </span><span class="n">addEdgeHelper</span><span class="p">(</span><span class="n">head1</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-23-96" name="__codelineno-23-96" href="#__codelineno-23-96"></a><span class="w"> </span><span class="n">addEdgeHelper</span><span class="p">(</span><span class="n">head2</span><span class="p">,</span><span class="w"> </span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-23-97" name="__codelineno-23-97" href="#__codelineno-23-97"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-98" name="__codelineno-23-98" href="#__codelineno-23-98"></a>
|
||
<a id="__codelineno-23-99" name="__codelineno-23-99" href="#__codelineno-23-99"></a><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-23-100" name="__codelineno-23-100" href="#__codelineno-23-100"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-101" name="__codelineno-23-101" href="#__codelineno-23-101"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head1</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">findNode</span><span class="p">(</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">vet1</span><span class="p">);</span>
|
||
<a id="__codelineno-23-102" name="__codelineno-23-102" href="#__codelineno-23-102"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head2</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">findNode</span><span class="p">(</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">);</span>
|
||
<a id="__codelineno-23-103" name="__codelineno-23-103" href="#__codelineno-23-103"></a><span class="w"> </span><span class="n">assert</span><span class="p">(</span><span class="n">head1</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="w"> </span><span class="o">&&</span><span class="w"> </span><span class="n">head2</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">);</span>
|
||
<a id="__codelineno-23-104" name="__codelineno-23-104" href="#__codelineno-23-104"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-23-105" name="__codelineno-23-105" href="#__codelineno-23-105"></a><span class="w"> </span><span class="n">removeEdgeHelper</span><span class="p">(</span><span class="n">head1</span><span class="p">,</span><span class="w"> </span><span class="n">head2</span><span class="o">-></span><span class="n">vertex</span><span class="p">);</span>
|
||
<a id="__codelineno-23-106" name="__codelineno-23-106" href="#__codelineno-23-106"></a><span class="w"> </span><span class="n">removeEdgeHelper</span><span class="p">(</span><span class="n">head2</span><span class="p">,</span><span class="w"> </span><span class="n">head1</span><span class="o">-></span><span class="n">vertex</span><span class="p">);</span>
|
||
<a id="__codelineno-23-107" name="__codelineno-23-107" href="#__codelineno-23-107"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-108" name="__codelineno-23-108" href="#__codelineno-23-108"></a>
|
||
<a id="__codelineno-23-109" name="__codelineno-23-109" href="#__codelineno-23-109"></a><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-23-110" name="__codelineno-23-110" href="#__codelineno-23-110"></a><span class="kt">void</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-111" name="__codelineno-23-111" href="#__codelineno-23-111"></a><span class="w"> </span><span class="n">assert</span><span class="p">(</span><span class="n">graph</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="w"> </span><span class="o">&&</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">MAX_SIZE</span><span class="p">);</span>
|
||
<a id="__codelineno-23-112" name="__codelineno-23-112" href="#__codelineno-23-112"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">head</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">(</span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="p">)</span><span class="n">malloc</span><span class="p">(</span><span class="k">sizeof</span><span class="p">(</span><span class="n">AdjListNode</span><span class="p">));</span>
|
||
<a id="__codelineno-23-113" name="__codelineno-23-113" href="#__codelineno-23-113"></a><span class="w"> </span><span class="n">head</span><span class="o">-></span><span class="n">vertex</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">vet</span><span class="p">;</span>
|
||
<a id="__codelineno-23-114" name="__codelineno-23-114" href="#__codelineno-23-114"></a><span class="w"> </span><span class="n">head</span><span class="o">-></span><span class="n">next</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-115" name="__codelineno-23-115" href="#__codelineno-23-115"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-23-116" name="__codelineno-23-116" href="#__codelineno-23-116"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="o">++</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">head</span><span class="p">;</span>
|
||
<a id="__codelineno-23-117" name="__codelineno-23-117" href="#__codelineno-23-117"></a><span class="p">}</span>
|
||
<a id="__codelineno-23-118" name="__codelineno-23-118" href="#__codelineno-23-118"></a>
|
||
<a id="__codelineno-23-119" name="__codelineno-23-119" href="#__codelineno-23-119"></a><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-23-120" name="__codelineno-23-120" href="#__codelineno-23-120"></a><span class="kt">void</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">GraphAdjList</span><span class="w"> </span><span class="o">*</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">Vertex</span><span class="w"> </span><span class="o">*</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-121" name="__codelineno-23-121" href="#__codelineno-23-121"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">node</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">findNode</span><span class="p">(</span><span class="n">graph</span><span class="p">,</span><span class="w"> </span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-23-122" name="__codelineno-23-122" href="#__codelineno-23-122"></a><span class="w"> </span><span class="n">assert</span><span class="p">(</span><span class="n">node</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">);</span>
|
||
<a id="__codelineno-23-123" name="__codelineno-23-123" href="#__codelineno-23-123"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-23-124" name="__codelineno-23-124" href="#__codelineno-23-124"></a><span class="w"> </span><span class="n">AdjListNode</span><span class="w"> </span><span class="o">*</span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">node</span><span class="p">,</span><span class="w"> </span><span class="o">*</span><span class="n">pre</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-125" name="__codelineno-23-125" href="#__codelineno-23-125"></a><span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-126" name="__codelineno-23-126" href="#__codelineno-23-126"></a><span class="w"> </span><span class="n">pre</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="p">;</span>
|
||
<a id="__codelineno-23-127" name="__codelineno-23-127" href="#__codelineno-23-127"></a><span class="w"> </span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-128" name="__codelineno-23-128" href="#__codelineno-23-128"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">pre</span><span class="p">);</span>
|
||
<a id="__codelineno-23-129" name="__codelineno-23-129" href="#__codelineno-23-129"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-130" name="__codelineno-23-130" href="#__codelineno-23-130"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-23-131" name="__codelineno-23-131" href="#__codelineno-23-131"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-132" name="__codelineno-23-132" href="#__codelineno-23-132"></a><span class="w"> </span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">];</span>
|
||
<a id="__codelineno-23-133" name="__codelineno-23-133" href="#__codelineno-23-133"></a><span class="w"> </span><span class="n">pre</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="nb">NULL</span><span class="p">;</span>
|
||
<a id="__codelineno-23-134" name="__codelineno-23-134" href="#__codelineno-23-134"></a><span class="w"> </span><span class="k">while</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-135" name="__codelineno-23-135" href="#__codelineno-23-135"></a><span class="w"> </span><span class="n">pre</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="p">;</span>
|
||
<a id="__codelineno-23-136" name="__codelineno-23-136" href="#__codelineno-23-136"></a><span class="w"> </span><span class="n">cur</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-137" name="__codelineno-23-137" href="#__codelineno-23-137"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">cur</span><span class="w"> </span><span class="o">&&</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">vertex</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-138" name="__codelineno-23-138" href="#__codelineno-23-138"></a><span class="w"> </span><span class="n">pre</span><span class="o">-></span><span class="n">next</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">cur</span><span class="o">-></span><span class="n">next</span><span class="p">;</span>
|
||
<a id="__codelineno-23-139" name="__codelineno-23-139" href="#__codelineno-23-139"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">cur</span><span class="p">);</span>
|
||
<a id="__codelineno-23-140" name="__codelineno-23-140" href="#__codelineno-23-140"></a><span class="w"> </span><span class="k">break</span><span class="p">;</span>
|
||
<a id="__codelineno-23-141" name="__codelineno-23-141" href="#__codelineno-23-141"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-142" name="__codelineno-23-142" href="#__codelineno-23-142"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-143" name="__codelineno-23-143" href="#__codelineno-23-143"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-144" name="__codelineno-23-144" href="#__codelineno-23-144"></a><span class="w"> </span><span class="c1">// Shift subsequent vertices forward to fill the gap</span>
|
||
<a id="__codelineno-23-145" name="__codelineno-23-145" href="#__codelineno-23-145"></a><span class="w"> </span><span class="kt">int</span><span class="w"> </span><span class="n">i</span><span class="p">;</span>
|
||
<a id="__codelineno-23-146" name="__codelineno-23-146" href="#__codelineno-23-146"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">i</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">0</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="p">;</span><span class="w"> </span><span class="n">i</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-147" name="__codelineno-23-147" href="#__codelineno-23-147"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">i</span><span class="p">]</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">node</span><span class="p">)</span>
|
||
<a id="__codelineno-23-148" name="__codelineno-23-148" href="#__codelineno-23-148"></a><span class="w"> </span><span class="k">break</span><span class="p">;</span>
|
||
<a id="__codelineno-23-149" name="__codelineno-23-149" href="#__codelineno-23-149"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-150" name="__codelineno-23-150" href="#__codelineno-23-150"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="kt">int</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">i</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="w"> </span><span class="o"><</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="w"> </span><span class="o">-</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w"> </span><span class="n">j</span><span class="o">++</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-23-151" name="__codelineno-23-151" href="#__codelineno-23-151"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">j</span><span class="p">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">heads</span><span class="p">[</span><span class="n">j</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="mi">1</span><span class="p">];</span>
|
||
<a id="__codelineno-23-152" name="__codelineno-23-152" href="#__codelineno-23-152"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-23-153" name="__codelineno-23-153" href="#__codelineno-23-153"></a><span class="w"> </span><span class="n">graph</span><span class="o">-></span><span class="n">size</span><span class="o">--</span><span class="p">;</span>
|
||
<a id="__codelineno-23-154" name="__codelineno-23-154" href="#__codelineno-23-154"></a><span class="w"> </span><span class="n">free</span><span class="p">(</span><span class="n">vet</span><span class="p">);</span>
|
||
<a id="__codelineno-23-155" name="__codelineno-23-155" href="#__codelineno-23-155"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.kt</span><pre><span></span><code><a id="__codelineno-24-1" name="__codelineno-24-1" href="#__codelineno-24-1"></a><span class="cm">/* Undirected graph class implemented with an adjacency list */</span>
|
||
<a id="__codelineno-24-2" name="__codelineno-24-2" href="#__codelineno-24-2"></a><span class="kd">class</span><span class="w"> </span><span class="nc">GraphAdjList</span><span class="p">(</span><span class="n">edges</span><span class="p">:</span><span class="w"> </span><span class="n">Array</span><span class="o"><</span><span class="n">Array</span><span class="o"><</span><span class="n">Vertex?</span><span class="o">>></span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-3" name="__codelineno-24-3" href="#__codelineno-24-3"></a><span class="w"> </span><span class="c1">// Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-24-4" name="__codelineno-24-4" href="#__codelineno-24-4"></a><span class="w"> </span><span class="kd">val</span><span class="w"> </span><span class="nv">adjList</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">HashMap</span><span class="o"><</span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">MutableList</span><span class="o"><</span><span class="n">Vertex</span><span class="o">>></span><span class="p">()</span>
|
||
<a id="__codelineno-24-5" name="__codelineno-24-5" href="#__codelineno-24-5"></a>
|
||
<a id="__codelineno-24-6" name="__codelineno-24-6" href="#__codelineno-24-6"></a><span class="w"> </span><span class="cm">/* Constructor */</span>
|
||
<a id="__codelineno-24-7" name="__codelineno-24-7" href="#__codelineno-24-7"></a><span class="w"> </span><span class="k">init</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-8" name="__codelineno-24-8" href="#__codelineno-24-8"></a><span class="w"> </span><span class="c1">// Add all vertices and edges</span>
|
||
<a id="__codelineno-24-9" name="__codelineno-24-9" href="#__codelineno-24-9"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-10" name="__codelineno-24-10" href="#__codelineno-24-10"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="m">0</span><span class="o">]!!</span><span class="p">)</span>
|
||
<a id="__codelineno-24-11" name="__codelineno-24-11" href="#__codelineno-24-11"></a><span class="w"> </span><span class="n">addVertex</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="m">1</span><span class="o">]!!</span><span class="p">)</span>
|
||
<a id="__codelineno-24-12" name="__codelineno-24-12" href="#__codelineno-24-12"></a><span class="w"> </span><span class="n">addEdge</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="m">0</span><span class="o">]!!</span><span class="p">,</span><span class="w"> </span><span class="n">edge</span><span class="o">[</span><span class="m">1</span><span class="o">]!!</span><span class="p">)</span>
|
||
<a id="__codelineno-24-13" name="__codelineno-24-13" href="#__codelineno-24-13"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-14" name="__codelineno-24-14" href="#__codelineno-24-14"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-15" name="__codelineno-24-15" href="#__codelineno-24-15"></a>
|
||
<a id="__codelineno-24-16" name="__codelineno-24-16" href="#__codelineno-24-16"></a><span class="w"> </span><span class="cm">/* Get the number of vertices */</span>
|
||
<a id="__codelineno-24-17" name="__codelineno-24-17" href="#__codelineno-24-17"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">size</span><span class="p">():</span><span class="w"> </span><span class="kt">Int</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-18" name="__codelineno-24-18" href="#__codelineno-24-18"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">size</span>
|
||
<a id="__codelineno-24-19" name="__codelineno-24-19" href="#__codelineno-24-19"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-20" name="__codelineno-24-20" href="#__codelineno-24-20"></a>
|
||
<a id="__codelineno-24-21" name="__codelineno-24-21" href="#__codelineno-24-21"></a><span class="w"> </span><span class="cm">/* Add an edge */</span>
|
||
<a id="__codelineno-24-22" name="__codelineno-24-22" href="#__codelineno-24-22"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">addEdge</span><span class="p">(</span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-23" name="__codelineno-24-23" href="#__codelineno-24-23"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-24-24" name="__codelineno-24-24" href="#__codelineno-24-24"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IllegalArgumentException</span><span class="p">()</span>
|
||
<a id="__codelineno-24-25" name="__codelineno-24-25" href="#__codelineno-24-25"></a><span class="w"> </span><span class="c1">// Add edge vet1 - vet2</span>
|
||
<a id="__codelineno-24-26" name="__codelineno-24-26" href="#__codelineno-24-26"></a><span class="w"> </span><span class="n">adjList</span><span class="o">[</span><span class="n">vet1</span><span class="o">]?.</span><span class="na">add</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-24-27" name="__codelineno-24-27" href="#__codelineno-24-27"></a><span class="w"> </span><span class="n">adjList</span><span class="o">[</span><span class="n">vet2</span><span class="o">]?.</span><span class="na">add</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-24-28" name="__codelineno-24-28" href="#__codelineno-24-28"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-29" name="__codelineno-24-29" href="#__codelineno-24-29"></a>
|
||
<a id="__codelineno-24-30" name="__codelineno-24-30" href="#__codelineno-24-30"></a><span class="w"> </span><span class="cm">/* Remove an edge */</span>
|
||
<a id="__codelineno-24-31" name="__codelineno-24-31" href="#__codelineno-24-31"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">removeEdge</span><span class="p">(</span><span class="n">vet1</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-32" name="__codelineno-24-32" href="#__codelineno-24-32"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="n">vet1</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-24-33" name="__codelineno-24-33" href="#__codelineno-24-33"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IllegalArgumentException</span><span class="p">()</span>
|
||
<a id="__codelineno-24-34" name="__codelineno-24-34" href="#__codelineno-24-34"></a><span class="w"> </span><span class="c1">// Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-24-35" name="__codelineno-24-35" href="#__codelineno-24-35"></a><span class="w"> </span><span class="n">adjList</span><span class="o">[</span><span class="n">vet1</span><span class="o">]?.</span><span class="na">remove</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-24-36" name="__codelineno-24-36" href="#__codelineno-24-36"></a><span class="w"> </span><span class="n">adjList</span><span class="o">[</span><span class="n">vet2</span><span class="o">]?.</span><span class="na">remove</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-24-37" name="__codelineno-24-37" href="#__codelineno-24-37"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-38" name="__codelineno-24-38" href="#__codelineno-24-38"></a>
|
||
<a id="__codelineno-24-39" name="__codelineno-24-39" href="#__codelineno-24-39"></a><span class="w"> </span><span class="cm">/* Add a vertex */</span>
|
||
<a id="__codelineno-24-40" name="__codelineno-24-40" href="#__codelineno-24-40"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">addVertex</span><span class="p">(</span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-41" name="__codelineno-24-41" href="#__codelineno-24-41"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-24-42" name="__codelineno-24-42" href="#__codelineno-24-42"></a><span class="w"> </span><span class="k">return</span>
|
||
<a id="__codelineno-24-43" name="__codelineno-24-43" href="#__codelineno-24-43"></a><span class="w"> </span><span class="c1">// Add a new list to the adjacency list</span>
|
||
<a id="__codelineno-24-44" name="__codelineno-24-44" href="#__codelineno-24-44"></a><span class="w"> </span><span class="n">adjList</span><span class="o">[</span><span class="n">vet</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mutableListOf</span><span class="p">()</span>
|
||
<a id="__codelineno-24-45" name="__codelineno-24-45" href="#__codelineno-24-45"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-46" name="__codelineno-24-46" href="#__codelineno-24-46"></a>
|
||
<a id="__codelineno-24-47" name="__codelineno-24-47" href="#__codelineno-24-47"></a><span class="w"> </span><span class="cm">/* Remove a vertex */</span>
|
||
<a id="__codelineno-24-48" name="__codelineno-24-48" href="#__codelineno-24-48"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">removeVertex</span><span class="p">(</span><span class="n">vet</span><span class="p">:</span><span class="w"> </span><span class="n">Vertex</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-49" name="__codelineno-24-49" href="#__codelineno-24-49"></a><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="n">adjList</span><span class="p">.</span><span class="na">containsKey</span><span class="p">(</span><span class="n">vet</span><span class="p">))</span>
|
||
<a id="__codelineno-24-50" name="__codelineno-24-50" href="#__codelineno-24-50"></a><span class="w"> </span><span class="k">throw</span><span class="w"> </span><span class="n">IllegalArgumentException</span><span class="p">()</span>
|
||
<a id="__codelineno-24-51" name="__codelineno-24-51" href="#__codelineno-24-51"></a><span class="w"> </span><span class="c1">// Remove the list corresponding to vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-24-52" name="__codelineno-24-52" href="#__codelineno-24-52"></a><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-24-53" name="__codelineno-24-53" href="#__codelineno-24-53"></a><span class="w"> </span><span class="c1">// Traverse the lists of the other vertices and remove all edges incident to vet</span>
|
||
<a id="__codelineno-24-54" name="__codelineno-24-54" href="#__codelineno-24-54"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">list</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">values</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-55" name="__codelineno-24-55" href="#__codelineno-24-55"></a><span class="w"> </span><span class="n">list</span><span class="p">.</span><span class="na">remove</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-24-56" name="__codelineno-24-56" href="#__codelineno-24-56"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-57" name="__codelineno-24-57" href="#__codelineno-24-57"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-58" name="__codelineno-24-58" href="#__codelineno-24-58"></a>
|
||
<a id="__codelineno-24-59" name="__codelineno-24-59" href="#__codelineno-24-59"></a><span class="w"> </span><span class="cm">/* Print the adjacency list */</span>
|
||
<a id="__codelineno-24-60" name="__codelineno-24-60" href="#__codelineno-24-60"></a><span class="w"> </span><span class="kd">fun</span><span class="w"> </span><span class="nf">print</span><span class="p">()</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-61" name="__codelineno-24-61" href="#__codelineno-24-61"></a><span class="w"> </span><span class="n">println</span><span class="p">(</span><span class="s">"Adjacency list ="</span><span class="p">)</span>
|
||
<a id="__codelineno-24-62" name="__codelineno-24-62" href="#__codelineno-24-62"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">pair</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">adjList</span><span class="p">.</span><span class="na">entries</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-63" name="__codelineno-24-63" href="#__codelineno-24-63"></a><span class="w"> </span><span class="kd">val</span><span class="w"> </span><span class="nv">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mutableListOf</span><span class="o"><</span><span class="kt">Int</span><span class="o">></span><span class="p">()</span>
|
||
<a id="__codelineno-24-64" name="__codelineno-24-64" href="#__codelineno-24-64"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="p">(</span><span class="n">vertex</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">pair</span><span class="p">.</span><span class="na">value</span><span class="p">)</span><span class="w"> </span><span class="p">{</span>
|
||
<a id="__codelineno-24-65" name="__codelineno-24-65" href="#__codelineno-24-65"></a><span class="w"> </span><span class="n">tmp</span><span class="p">.</span><span class="na">add</span><span class="p">(</span><span class="n">vertex</span><span class="p">.</span><span class="na">_val</span><span class="p">)</span>
|
||
<a id="__codelineno-24-66" name="__codelineno-24-66" href="#__codelineno-24-66"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-67" name="__codelineno-24-67" href="#__codelineno-24-67"></a><span class="w"> </span><span class="n">println</span><span class="p">(</span><span class="s">"</span><span class="si">${</span><span class="n">pair</span><span class="p">.</span><span class="na">key</span><span class="p">.</span><span class="na">_val</span><span class="si">}</span><span class="s">: </span><span class="si">$</span><span class="n">tmp</span><span class="s">,"</span><span class="p">)</span>
|
||
<a id="__codelineno-24-68" name="__codelineno-24-68" href="#__codelineno-24-68"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-69" name="__codelineno-24-69" href="#__codelineno-24-69"></a><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-24-70" name="__codelineno-24-70" href="#__codelineno-24-70"></a><span class="p">}</span>
|
||
</code></pre></div>
|
||
</div>
|
||
<div class="tabbed-block">
|
||
<div class="highlight"><span class="filename">graph_adjacency_list.rb</span><pre><span></span><code><a id="__codelineno-25-1" name="__codelineno-25-1" href="#__codelineno-25-1"></a><span class="c1">### Undirected graph class implemented with an adjacency list ###</span>
|
||
<a id="__codelineno-25-2" name="__codelineno-25-2" href="#__codelineno-25-2"></a><span class="k">class</span><span class="w"> </span><span class="nc">GraphAdjList</span>
|
||
<a id="__codelineno-25-3" name="__codelineno-25-3" href="#__codelineno-25-3"></a><span class="w"> </span><span class="kp">attr_reader</span><span class="w"> </span><span class="ss">:adj_list</span>
|
||
<a id="__codelineno-25-4" name="__codelineno-25-4" href="#__codelineno-25-4"></a>
|
||
<a id="__codelineno-25-5" name="__codelineno-25-5" href="#__codelineno-25-5"></a><span class="w"> </span><span class="c1">### Constructor ###</span>
|
||
<a id="__codelineno-25-6" name="__codelineno-25-6" href="#__codelineno-25-6"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">initialize</span><span class="p">(</span><span class="n">edges</span><span class="p">)</span>
|
||
<a id="__codelineno-25-7" name="__codelineno-25-7" href="#__codelineno-25-7"></a><span class="w"> </span><span class="c1"># Adjacency list: key is a vertex, value is the list of all its neighbors</span>
|
||
<a id="__codelineno-25-8" name="__codelineno-25-8" href="#__codelineno-25-8"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="p">{}</span>
|
||
<a id="__codelineno-25-9" name="__codelineno-25-9" href="#__codelineno-25-9"></a><span class="w"> </span><span class="c1"># Add all vertices and edges</span>
|
||
<a id="__codelineno-25-10" name="__codelineno-25-10" href="#__codelineno-25-10"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">edge</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="n">edges</span>
|
||
<a id="__codelineno-25-11" name="__codelineno-25-11" href="#__codelineno-25-11"></a><span class="w"> </span><span class="n">add_vertex</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="mi">0</span><span class="o">]</span><span class="p">)</span>
|
||
<a id="__codelineno-25-12" name="__codelineno-25-12" href="#__codelineno-25-12"></a><span class="w"> </span><span class="n">add_vertex</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="mi">1</span><span class="o">]</span><span class="p">)</span>
|
||
<a id="__codelineno-25-13" name="__codelineno-25-13" href="#__codelineno-25-13"></a><span class="w"> </span><span class="n">add_edge</span><span class="p">(</span><span class="n">edge</span><span class="o">[</span><span class="mi">0</span><span class="o">]</span><span class="p">,</span><span class="w"> </span><span class="n">edge</span><span class="o">[</span><span class="mi">1</span><span class="o">]</span><span class="p">)</span>
|
||
<a id="__codelineno-25-14" name="__codelineno-25-14" href="#__codelineno-25-14"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-15" name="__codelineno-25-15" href="#__codelineno-25-15"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-16" name="__codelineno-25-16" href="#__codelineno-25-16"></a>
|
||
<a id="__codelineno-25-17" name="__codelineno-25-17" href="#__codelineno-25-17"></a><span class="w"> </span><span class="c1">### Get the number of vertices ###</span>
|
||
<a id="__codelineno-25-18" name="__codelineno-25-18" href="#__codelineno-25-18"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">size</span>
|
||
<a id="__codelineno-25-19" name="__codelineno-25-19" href="#__codelineno-25-19"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">length</span>
|
||
<a id="__codelineno-25-20" name="__codelineno-25-20" href="#__codelineno-25-20"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-21" name="__codelineno-25-21" href="#__codelineno-25-21"></a>
|
||
<a id="__codelineno-25-22" name="__codelineno-25-22" href="#__codelineno-25-22"></a><span class="w"> </span><span class="c1">### Add an edge ###</span>
|
||
<a id="__codelineno-25-23" name="__codelineno-25-23" href="#__codelineno-25-23"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">add_edge</span><span class="p">(</span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-25-24" name="__codelineno-25-24" href="#__codelineno-25-24"></a><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="no">ArgumentError</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="o">!</span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">include?</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">include?</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-25-25" name="__codelineno-25-25" href="#__codelineno-25-25"></a>
|
||
<a id="__codelineno-25-26" name="__codelineno-25-26" href="#__codelineno-25-26"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vet1</span><span class="o">]</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">vet2</span>
|
||
<a id="__codelineno-25-27" name="__codelineno-25-27" href="#__codelineno-25-27"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vet2</span><span class="o">]</span><span class="w"> </span><span class="o"><<</span><span class="w"> </span><span class="n">vet1</span>
|
||
<a id="__codelineno-25-28" name="__codelineno-25-28" href="#__codelineno-25-28"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-29" name="__codelineno-25-29" href="#__codelineno-25-29"></a>
|
||
<a id="__codelineno-25-30" name="__codelineno-25-30" href="#__codelineno-25-30"></a><span class="w"> </span><span class="c1">### Remove an edge ###</span>
|
||
<a id="__codelineno-25-31" name="__codelineno-25-31" href="#__codelineno-25-31"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">remove_edge</span><span class="p">(</span><span class="n">vet1</span><span class="p">,</span><span class="w"> </span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-25-32" name="__codelineno-25-32" href="#__codelineno-25-32"></a><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="no">ArgumentError</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="o">!</span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">include?</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span><span class="w"> </span><span class="o">||</span><span class="w"> </span><span class="o">!</span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">include?</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-25-33" name="__codelineno-25-33" href="#__codelineno-25-33"></a>
|
||
<a id="__codelineno-25-34" name="__codelineno-25-34" href="#__codelineno-25-34"></a><span class="w"> </span><span class="c1"># Remove edge vet1 - vet2</span>
|
||
<a id="__codelineno-25-35" name="__codelineno-25-35" href="#__codelineno-25-35"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vet1</span><span class="o">].</span><span class="n">delete</span><span class="p">(</span><span class="n">vet2</span><span class="p">)</span>
|
||
<a id="__codelineno-25-36" name="__codelineno-25-36" href="#__codelineno-25-36"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vet2</span><span class="o">].</span><span class="n">delete</span><span class="p">(</span><span class="n">vet1</span><span class="p">)</span>
|
||
<a id="__codelineno-25-37" name="__codelineno-25-37" href="#__codelineno-25-37"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-38" name="__codelineno-25-38" href="#__codelineno-25-38"></a>
|
||
<a id="__codelineno-25-39" name="__codelineno-25-39" href="#__codelineno-25-39"></a><span class="w"> </span><span class="c1">### Add a vertex ###</span>
|
||
<a id="__codelineno-25-40" name="__codelineno-25-40" href="#__codelineno-25-40"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">add_vertex</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-25-41" name="__codelineno-25-41" href="#__codelineno-25-41"></a><span class="w"> </span><span class="k">return</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">include?</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-25-42" name="__codelineno-25-42" href="#__codelineno-25-42"></a>
|
||
<a id="__codelineno-25-43" name="__codelineno-25-43" href="#__codelineno-25-43"></a><span class="w"> </span><span class="c1"># Add a new neighbor list to the adjacency list</span>
|
||
<a id="__codelineno-25-44" name="__codelineno-25-44" href="#__codelineno-25-44"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vet</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="o">[]</span>
|
||
<a id="__codelineno-25-45" name="__codelineno-25-45" href="#__codelineno-25-45"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-46" name="__codelineno-25-46" href="#__codelineno-25-46"></a>
|
||
<a id="__codelineno-25-47" name="__codelineno-25-47" href="#__codelineno-25-47"></a><span class="w"> </span><span class="c1">### Remove a vertex ###</span>
|
||
<a id="__codelineno-25-48" name="__codelineno-25-48" href="#__codelineno-25-48"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="nf">remove_vertex</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-25-49" name="__codelineno-25-49" href="#__codelineno-25-49"></a><span class="w"> </span><span class="k">raise</span><span class="w"> </span><span class="no">ArgumentError</span><span class="w"> </span><span class="k">unless</span><span class="w"> </span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">include?</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-25-50" name="__codelineno-25-50" href="#__codelineno-25-50"></a>
|
||
<a id="__codelineno-25-51" name="__codelineno-25-51" href="#__codelineno-25-51"></a><span class="w"> </span><span class="c1"># Remove the neighbor list for vertex vet from the adjacency list</span>
|
||
<a id="__codelineno-25-52" name="__codelineno-25-52" href="#__codelineno-25-52"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">.</span><span class="n">delete</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-25-53" name="__codelineno-25-53" href="#__codelineno-25-53"></a><span class="w"> </span><span class="c1"># Traverse the other neighbor lists and remove all edges incident to vet</span>
|
||
<a id="__codelineno-25-54" name="__codelineno-25-54" href="#__codelineno-25-54"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">vertex</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="vi">@adj_list</span>
|
||
<a id="__codelineno-25-55" name="__codelineno-25-55" href="#__codelineno-25-55"></a><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vertex</span><span class="o">.</span><span class="n">first</span><span class="o">].</span><span class="n">delete</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span><span class="w"> </span><span class="k">if</span><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vertex</span><span class="o">.</span><span class="n">first</span><span class="o">].</span><span class="n">include?</span><span class="p">(</span><span class="n">vet</span><span class="p">)</span>
|
||
<a id="__codelineno-25-56" name="__codelineno-25-56" href="#__codelineno-25-56"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-57" name="__codelineno-25-57" href="#__codelineno-25-57"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-58" name="__codelineno-25-58" href="#__codelineno-25-58"></a>
|
||
<a id="__codelineno-25-59" name="__codelineno-25-59" href="#__codelineno-25-59"></a><span class="w"> </span><span class="c1">### Print the adjacency list ###</span>
|
||
<a id="__codelineno-25-60" name="__codelineno-25-60" href="#__codelineno-25-60"></a><span class="w"> </span><span class="k">def</span><span class="w"> </span><span class="n">__print__</span>
|
||
<a id="__codelineno-25-61" name="__codelineno-25-61" href="#__codelineno-25-61"></a><span class="w"> </span><span class="nb">puts</span><span class="w"> </span><span class="s1">'Adjacency list ='</span>
|
||
<a id="__codelineno-25-62" name="__codelineno-25-62" href="#__codelineno-25-62"></a><span class="w"> </span><span class="k">for</span><span class="w"> </span><span class="n">vertex</span><span class="w"> </span><span class="k">in</span><span class="w"> </span><span class="vi">@adj_list</span>
|
||
<a id="__codelineno-25-63" name="__codelineno-25-63" href="#__codelineno-25-63"></a><span class="w"> </span><span class="n">tmp</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="vi">@adj_list</span><span class="o">[</span><span class="n">vertex</span><span class="o">.</span><span class="n">first</span><span class="o">].</span><span class="n">map</span><span class="w"> </span><span class="p">{</span><span class="w"> </span><span class="o">|</span><span class="n">v</span><span class="o">|</span><span class="w"> </span><span class="n">v</span><span class="o">.</span><span class="n">val</span><span class="w"> </span><span class="p">}</span>
|
||
<a id="__codelineno-25-64" name="__codelineno-25-64" href="#__codelineno-25-64"></a><span class="w"> </span><span class="nb">puts</span><span class="w"> </span><span class="s2">"</span><span class="si">#{</span><span class="n">vertex</span><span class="o">.</span><span class="n">first</span><span class="o">.</span><span class="n">val</span><span class="si">}</span><span class="s2">: </span><span class="si">#{</span><span class="n">tmp</span><span class="si">}</span><span class="s2">,"</span>
|
||
<a id="__codelineno-25-65" name="__codelineno-25-65" href="#__codelineno-25-65"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-66" name="__codelineno-25-66" href="#__codelineno-25-66"></a><span class="w"> </span><span class="k">end</span>
|
||
<a id="__codelineno-25-67" name="__codelineno-25-67" href="#__codelineno-25-67"></a><span class="k">end</span>
|
||
</code></pre></div>
|
||
</div>
|
||
</div>
|
||
</div>
|
||
<details class="pythontutor">
|
||
<summary>Visualize execution</summary>
|
||
<p><div style="height: 549px; width: 100%;"><iframe class="pythontutor-iframe" title="Visualize execution" src="https://pythontutor.com/iframe-embed.html#code=class%20Vertex%3A%0A%20%20%20%20%22%22%22Vertex%20class%22%22%22%0A%20%20%20%20def%20__init__%28self,%20val%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20self.val%20%3D%20val%0A%0Adef%20vals_to_vets%28vals%3A%20list%5Bint%5D%29%20-%3E%20list%5B%22Vertex%22%5D%3A%0A%20%20%20%20%22%22%22Given%20the%20list%20of%20values%20vals,%20return%20the%20list%20of%20vertices%20vets%22%22%22%0A%20%20%20%20return%20%5BVertex%28val%29%20for%20val%20in%20vals%5D%0A%0A%0Aclass%20GraphAdjList%3A%0A%20%20%20%20%22%22%22Undirected%20graph%20class%20implemented%20with%20an%20adjacency%20list%22%22%22%0A%0A%20%20%20%20def%20__init__%28self,%20edges%3A%20list%5Blist%5BVertex%5D%5D%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Constructor%22%22%22%0A%20%20%20%20%20%20%20%20self.adj_list%20%3D%20dict%5BVertex,%20list%5BVertex%5D%5D%28%29%0A%20%20%20%20%20%20%20%20%23%20Add%20all%20vertices%20and%20edges%0A%20%20%20%20%20%20%20%20for%20edge%20in%20edges%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_vertex%28edge%5B0%5D%29%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_vertex%28edge%5B1%5D%29%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_edge%28edge%5B0%5D,%20edge%5B1%5D%29%0A%0A%20%20%20%20def%20size%28self%29%20-%3E%20int%3A%0A%20%20%20%20%20%20%20%20%22%22%22Get%20the%20number%20of%20vertices%22%22%22%0A%20%20%20%20%20%20%20%20return%20len%28self.adj_list%29%0A%0A%20%20%20%20def%20add_edge%28self,%20vet1%3A%20Vertex,%20vet2%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet1%20not%20in%20self.adj_list%20or%20vet2%20not%20in%20self.adj_list%20or%20vet1%20%3D%3D%20vet2%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20ValueError%28%29%0A%20%20%20%20%20%20%20%20%23%20Add%20edge%20vet1%20-%20vet2%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet1%5D.append%28vet2%29%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet2%5D.append%28vet1%29%0A%0A%20%20%20%20def%20remove_edge%28self,%20vet1%3A%20Vertex,%20vet2%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet1%20not%20in%20self.adj_list%20or%20vet2%20not%20in%20self.adj_list%20or%20vet1%20%3D%3D%20vet2%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20ValueError%28%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20edge%20vet1%20-%20vet2%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet1%5D.remove%28vet2%29%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet2%5D.remove%28vet1%29%0A%0A%20%20%20%20def%20add_vertex%28self,%20vet%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet%20in%20self.adj_list%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20return%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20new%20list%20to%20the%20adjacency%20list%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet%5D%20%3D%20%5B%5D%0A%0A%20%20%20%20def%20remove_vertex%28self,%20vet%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet%20not%20in%20self.adj_list%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20ValueError%28%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20the%20list%20corresponding%20to%20vertex%20vet%20from%20the%20adjacency%20list%0A%20%20%20%20%20%20%20%20self.adj_list.pop%28vet%29%0A%20%20%20%20%20%20%20%20%23%20Traverse%20the%20lists%20of%20the%20other%20vertices%20and%20remove%20all%20edges%20incident%20to%20vet%0A%20%20%20%20%20%20%20%20for%20vertex%20in%20self.adj_list%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20if%20vet%20in%20self.adj_list%5Bvertex%5D%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20self.adj_list%5Bvertex%5D.remove%28vet%29%0A%0A%0A%22%22%22Driver%20code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%22%3A%0A%20%20%20%20%23%20Initialize%20the%20undirected%20graph%0A%20%20%20%20v%20%3D%20vals_to_vets%28%5B1,%203,%202,%205,%204%5D%29%0A%20%20%20%20edges%20%3D%20%5B%0A%20%20%20%20%20%20%20%20%5Bv%5B0%5D,%20v%5B1%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B0%5D,%20v%5B3%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B1%5D,%20v%5B2%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B2%5D,%20v%5B3%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B2%5D,%20v%5B4%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B3%5D,%20v%5B4%5D%5D,%0A%20%20%20%20%5D%0A%20%20%20%20graph%20%3D%20GraphAdjList%28edges%29%0A%20%20%20%20del%20edges%0A%0A%20%20%20%20%23%20Add%20an%20edge%0A%20%20%20%20graph.add_edge%28v%5B0%5D,%20v%5B2%5D%29%0A%0A%20%20%20%20%23%20Remove%20an%20edge%0A%20%20%20%20graph.remove_edge%28v%5B0%5D,%20v%5B1%5D%29%0A%0A%20%20%20%20%23%20Add%20a%20vertex%0A%20%20%20%20v5%20%3D%20Vertex%286%29%0A%20%20%20%20graph.add_vertex%28v5%29%0A%0A%20%20%20%20%23%20Remove%20a%20vertex%0A%20%20%20%20graph.remove_vertex%28v%5B1%5D%29&codeDivHeight=472&codeDivWidth=350&cumulative=false&curInstr=39&heapPrimitives=nevernest&origin=opt-frontend.js&py=311&rawInputLstJSON=%5B%5D&textReferences=false"> </iframe></div>
|
||
<div style="margin-top: 5px;"><a href="https://pythontutor.com/iframe-embed.html#code=class%20Vertex%3A%0A%20%20%20%20%22%22%22Vertex%20class%22%22%22%0A%20%20%20%20def%20__init__%28self,%20val%3A%20int%29%3A%0A%20%20%20%20%20%20%20%20self.val%20%3D%20val%0A%0Adef%20vals_to_vets%28vals%3A%20list%5Bint%5D%29%20-%3E%20list%5B%22Vertex%22%5D%3A%0A%20%20%20%20%22%22%22Given%20the%20list%20of%20values%20vals,%20return%20the%20list%20of%20vertices%20vets%22%22%22%0A%20%20%20%20return%20%5BVertex%28val%29%20for%20val%20in%20vals%5D%0A%0A%0Aclass%20GraphAdjList%3A%0A%20%20%20%20%22%22%22Undirected%20graph%20class%20implemented%20with%20an%20adjacency%20list%22%22%22%0A%0A%20%20%20%20def%20__init__%28self,%20edges%3A%20list%5Blist%5BVertex%5D%5D%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Constructor%22%22%22%0A%20%20%20%20%20%20%20%20self.adj_list%20%3D%20dict%5BVertex,%20list%5BVertex%5D%5D%28%29%0A%20%20%20%20%20%20%20%20%23%20Add%20all%20vertices%20and%20edges%0A%20%20%20%20%20%20%20%20for%20edge%20in%20edges%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_vertex%28edge%5B0%5D%29%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_vertex%28edge%5B1%5D%29%0A%20%20%20%20%20%20%20%20%20%20%20%20self.add_edge%28edge%5B0%5D,%20edge%5B1%5D%29%0A%0A%20%20%20%20def%20size%28self%29%20-%3E%20int%3A%0A%20%20%20%20%20%20%20%20%22%22%22Get%20the%20number%20of%20vertices%22%22%22%0A%20%20%20%20%20%20%20%20return%20len%28self.adj_list%29%0A%0A%20%20%20%20def%20add_edge%28self,%20vet1%3A%20Vertex,%20vet2%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet1%20not%20in%20self.adj_list%20or%20vet2%20not%20in%20self.adj_list%20or%20vet1%20%3D%3D%20vet2%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20ValueError%28%29%0A%20%20%20%20%20%20%20%20%23%20Add%20edge%20vet1%20-%20vet2%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet1%5D.append%28vet2%29%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet2%5D.append%28vet1%29%0A%0A%20%20%20%20def%20remove_edge%28self,%20vet1%3A%20Vertex,%20vet2%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20an%20edge%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet1%20not%20in%20self.adj_list%20or%20vet2%20not%20in%20self.adj_list%20or%20vet1%20%3D%3D%20vet2%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20ValueError%28%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20edge%20vet1%20-%20vet2%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet1%5D.remove%28vet2%29%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet2%5D.remove%28vet1%29%0A%0A%20%20%20%20def%20add_vertex%28self,%20vet%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Add%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet%20in%20self.adj_list%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20return%0A%20%20%20%20%20%20%20%20%23%20Add%20a%20new%20list%20to%20the%20adjacency%20list%0A%20%20%20%20%20%20%20%20self.adj_list%5Bvet%5D%20%3D%20%5B%5D%0A%0A%20%20%20%20def%20remove_vertex%28self,%20vet%3A%20Vertex%29%3A%0A%20%20%20%20%20%20%20%20%22%22%22Remove%20a%20vertex%22%22%22%0A%20%20%20%20%20%20%20%20if%20vet%20not%20in%20self.adj_list%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20raise%20ValueError%28%29%0A%20%20%20%20%20%20%20%20%23%20Remove%20the%20list%20corresponding%20to%20vertex%20vet%20from%20the%20adjacency%20list%0A%20%20%20%20%20%20%20%20self.adj_list.pop%28vet%29%0A%20%20%20%20%20%20%20%20%23%20Traverse%20the%20lists%20of%20the%20other%20vertices%20and%20remove%20all%20edges%20incident%20to%20vet%0A%20%20%20%20%20%20%20%20for%20vertex%20in%20self.adj_list%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20if%20vet%20in%20self.adj_list%5Bvertex%5D%3A%0A%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20%20self.adj_list%5Bvertex%5D.remove%28vet%29%0A%0A%0A%22%22%22Driver%20code%22%22%22%0Aif%20__name__%20%3D%3D%20%22__main__%22%3A%0A%20%20%20%20%23%20Initialize%20the%20undirected%20graph%0A%20%20%20%20v%20%3D%20vals_to_vets%28%5B1,%203,%202,%205,%204%5D%29%0A%20%20%20%20edges%20%3D%20%5B%0A%20%20%20%20%20%20%20%20%5Bv%5B0%5D,%20v%5B1%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B0%5D,%20v%5B3%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B1%5D,%20v%5B2%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B2%5D,%20v%5B3%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B2%5D,%20v%5B4%5D%5D,%0A%20%20%20%20%20%20%20%20%5Bv%5B3%5D,%20v%5B4%5D%5D,%0A%20%20%20%20%5D%0A%20%20%20%20graph%20%3D%20GraphAdjList%28edges%29%0A%20%20%20%20del%20edges%0A%0A%20%20%20%20%23%20Add%20an%20edge%0A%20%20%20%20graph.add_edge%28v%5B0%5D,%20v%5B2%5D%29%0A%0A%20%20%20%20%23%20Remove%20an%20edge%0A%20%20%20%20graph.remove_edge%28v%5B0%5D,%20v%5B1%5D%29%0A%0A%20%20%20%20%23%20Add%20a%20vertex%0A%20%20%20%20v5%20%3D%20Vertex%286%29%0A%20%20%20%20graph.add_vertex%28v5%29%0A%0A%20%20%20%20%23%20Remove%20a%20vertex%0A%20%20%20%20graph.remove_vertex%28v%5B1%5D%29&codeDivHeight=800&codeDivWidth=600&cumulative=false&curInstr=39&heapPrimitives=nevernest&origin=opt-frontend.js&py=311&rawInputLstJSON=%5B%5D&textReferences=false" target="_blank" rel="noopener noreferrer">View full screen ></a></div></p>
|
||
</details>
|
||
<h2 id="923-comparing-efficiency">9.2.3 Comparing efficiency<a class="headerlink" href="#923-comparing-efficiency" title="Permanent link">¶</a></h2>
|
||
<p>For a graph with <span class="arithmatex">\(n\)</span> vertices and <span class="arithmatex">\(m\)</span> edges, Table 9-2 compares the time and space efficiency of adjacency matrices and adjacency lists. Here, "adjacency list (linked lists)" refers to the implementation in this section, while "adjacency list (hash tables)" specifically refers to an implementation in which every linked list is replaced by a hash table.</p>
|
||
<p align="center"> Table 9-2 Comparing adjacency matrices and adjacency lists </p>
|
||
|
||
<div class="center-table">
|
||
<table>
|
||
<thead>
|
||
<tr>
|
||
<th></th>
|
||
<th>Adjacency matrix</th>
|
||
<th>Adjacency list (linked lists)</th>
|
||
<th>Adjacency list (hash tables)</th>
|
||
</tr>
|
||
</thead>
|
||
<tbody>
|
||
<tr>
|
||
<td>Check adjacency</td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
<td><span class="arithmatex">\(O(n)\)</span></td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td>Add an edge</td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td>Remove an edge</td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
<td><span class="arithmatex">\(O(n)\)</span></td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td>Add a vertex</td>
|
||
<td><span class="arithmatex">\(O(n)\)</span></td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
<td><span class="arithmatex">\(O(1)\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td>Remove a vertex</td>
|
||
<td><span class="arithmatex">\(O(n^2)\)</span></td>
|
||
<td><span class="arithmatex">\(O(n + m)\)</span></td>
|
||
<td><span class="arithmatex">\(O(n)\)</span></td>
|
||
</tr>
|
||
<tr>
|
||
<td>Memory usage</td>
|
||
<td><span class="arithmatex">\(O(n^2)\)</span></td>
|
||
<td><span class="arithmatex">\(O(n + m)\)</span></td>
|
||
<td><span class="arithmatex">\(O(n + m)\)</span></td>
|
||
</tr>
|
||
</tbody>
|
||
</table>
|
||
</div>
|
||
<p>Table 9-2 suggests that an adjacency list using hash tables is the most efficient in both time and space. In practice, however, edge operations in an adjacency matrix are faster: each requires only a single array access or assignment. Overall, an adjacency matrix trades space for time, while an adjacency list trades time for space.</p>
|
||
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