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krahets
2026-04-03 18:46:15 +08:00
parent 377736b1bd
commit 9d21ca86b0
352 changed files with 46563 additions and 11262 deletions

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@@ -15,19 +15,19 @@ comments: true
- **删除顶点**:在邻接矩阵中删除一行一列。当删除首行首列时达到最差情况,需要将 $(n-1)^2$ 个元素“向左上移动”,从而使用 $O(n^2)$ 时间。
- **初始化**:传入 $n$ 个顶点,初始化长度为 $n$ 的顶点列表 `vertices` ,使用 $O(n)$ 时间;初始化 $n \times n$ 大小的邻接矩阵 `adjMat` ,使用 $O(n^2)$ 时间。
=== "初始化邻接矩阵"
=== "<1>"
![邻接矩阵的初始化、增删边、增删顶点](graph_operations.assets/adjacency_matrix_step1_initialization.png){ class="animation-figure" }
=== "添加边"
=== "<2>"
![adjacency_matrix_add_edge](graph_operations.assets/adjacency_matrix_step2_add_edge.png){ class="animation-figure" }
=== "删除边"
=== "<3>"
![adjacency_matrix_remove_edge](graph_operations.assets/adjacency_matrix_step3_remove_edge.png){ class="animation-figure" }
=== "添加顶点"
=== "<4>"
![adjacency_matrix_add_vertex](graph_operations.assets/adjacency_matrix_step4_add_vertex.png){ class="animation-figure" }
=== "删除顶点"
=== "<5>"
![adjacency_matrix_remove_vertex](graph_operations.assets/adjacency_matrix_step5_remove_vertex.png){ class="animation-figure" }
<p align="center"> 图 9-7 &nbsp; 邻接矩阵的初始化、增删边、增删顶点 </p>
@@ -1221,19 +1221,19 @@ comments: true
- **删除顶点**:需遍历整个邻接表,删除包含指定顶点的所有边,使用 $O(n + m)$ 时间。
- **初始化**:在邻接表中创建 $n$ 个顶点和 $2m$ 条边,使用 $O(n + m)$ 时间。
=== "初始化邻接表"
=== "<1>"
![邻接表的初始化、增删边、增删顶点](graph_operations.assets/adjacency_list_step1_initialization.png){ class="animation-figure" }
=== "添加边"
=== "<2>"
![adjacency_list_add_edge](graph_operations.assets/adjacency_list_step2_add_edge.png){ class="animation-figure" }
=== "删除边"
=== "<3>"
![adjacency_list_remove_edge](graph_operations.assets/adjacency_list_step3_remove_edge.png){ class="animation-figure" }
=== "添加顶点"
=== "<4>"
![adjacency_list_add_vertex](graph_operations.assets/adjacency_list_step4_add_vertex.png){ class="animation-figure" }
=== "删除顶点"
=== "<5>"
![adjacency_list_remove_vertex](graph_operations.assets/adjacency_list_step5_remove_vertex.png){ class="animation-figure" }
<p align="center"> 图 9-8 &nbsp; 邻接表的初始化、增删边、增删顶点 </p>