diff --git a/classes.html b/classes.html index 0ece48de1..573936ffa 100644 --- a/classes.html +++ b/classes.html @@ -98,32 +98,32 @@ $(document).ready(function(){initNavTree('classes.html',''); initResizable(); }) - + - + - + - + - - + + - + @@ -152,12 +152,12 @@ $(document).ready(function(){initNavTree('classes.html',''); initResizable(); }) - + - + diff --git a/d0/d24/classgraph_1_1_rooted_tree__coll__graph.map b/d0/d24/classgraph_1_1_rooted_tree__coll__graph.map index 5b312166b..d9d99c4f8 100644 --- a/d0/d24/classgraph_1_1_rooted_tree__coll__graph.map +++ b/d0/d24/classgraph_1_1_rooted_tree__coll__graph.map @@ -1,6 +1,8 @@ - - - - + + + + + + diff --git a/d0/d24/classgraph_1_1_rooted_tree__coll__graph.md5 b/d0/d24/classgraph_1_1_rooted_tree__coll__graph.md5 index ab318988d..e3a765f3d 100644 --- a/d0/d24/classgraph_1_1_rooted_tree__coll__graph.md5 +++ b/d0/d24/classgraph_1_1_rooted_tree__coll__graph.md5 @@ -1 +1 @@ -0a2489637975a83702da143fdb310eb8 \ No newline at end of file +47627de4d082c3cad65ec7919eba8e88 \ No newline at end of file diff --git a/d0/d24/classgraph_1_1_rooted_tree__coll__graph.svg b/d0/d24/classgraph_1_1_rooted_tree__coll__graph.svg index 7481bb841..6398069b7 100644 --- a/d0/d24/classgraph_1_1_rooted_tree__coll__graph.svg +++ b/d0/d24/classgraph_1_1_rooted_tree__coll__graph.svg @@ -4,17 +4,17 @@ - + graph::RootedTree - + Node1 - -graph::RootedTree + +graph::RootedTree @@ -22,57 +22,90 @@ Node2 - -graph::Graph + +graph::Graph< T > Node2->Node1 - - + + Node3 - -std::vector< std::vector -< int > > + +std::vector< std::vector +< int > > Node3->Node2 - - - neighbors + + + neighbors Node4 - -std::vector< int > + +std::vector< int > - + Node4->Node1 - - - level -parent + + + level +parent Node4->Node3 - - - elements + + + elements + + + +Node5 + + +std::map< T, std::list +< T > > + + + + + +Node5->Node2 + + + adjacency_list + + + +Node6 + + +T + + + + + +Node6->Node5 + + + keys diff --git a/d0/d58/classgraph_1_1_rooted_tree.html b/d0/d58/classgraph_1_1_rooted_tree.html index 8902859e4..fd81cac96 100644 --- a/d0/d58/classgraph_1_1_rooted_tree.html +++ b/d0/d58/classgraph_1_1_rooted_tree.html @@ -108,7 +108,7 @@ Inheritance diagram for graph::RootedTree:
Collaboration diagram for graph::RootedTree:
-
+
[legend]
  a  
Entry (quadratic_probing)   Entry (double_hashing)   
  l  
 Node    SkipList (data_structures)   
Entry (double_hashing)   
Entry (linear_probing)   
  p  
 Solution   
adaline (machine_learning)   Entry (linear_probing)   Entry (quadratic_probing)    large_number   stack   Stack (others::postfix_expression)   
  b  
  f  
 link (data_structures::linked_list)   Point (geometry::jarvis)   Stack (others::postfix_expression)   Point   stack   
linkedlist   Point   Point (geometry::jarvis)    stack_linkedList   
Btree   Queue   
compare   Graph (graph::is_graph_bipartite)   Graph (graph)    queue    tower   
Complex   Graph (graph)   Graph (graph::is_graph_bipartite)    MinHeap    Queue_Array    Tree (range_queries::heavy_light_decomposition)   
@@ -117,12 +117,16 @@ Public Member Functions - - - - - - + + + + + + + + + +
 RootedTree (const std::vector< std::pair< int, int > > &undirected_edges, int root_)
 Constructs the tree by calculating parent for every vertex. Assumes a valid description of a tree is provided. More...
 
- Public Member Functions inherited from graph::Graph
 Graph (size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
 Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid vertex indices. More...
 
int number_of_vertices () const
 
- Public Member Functions inherited from graph::Graph< T >
void add_edge (T u, T v, bool bidir=true)
 
std::map< T, bool > breadth_first_search (T src)
 
 Graph (size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
 Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid vertex indices. More...
 
int number_of_vertices () const
 
@@ -138,11 +142,11 @@ Public Attributes int  - - - - + + + +

Public Attributes

root
 Index of the root vertex.
 
- Public Attributes inherited from graph::Graph
-std::vector< std::vector< int > > neighbors
 for each vertex it stores a list indicies of its neighbors
 
- Public Attributes inherited from graph::Graph< T >
+std::vector< std::vector< int > > neighbors
 for each vertex it stores a list indicies of its neighbors
 
@@ -195,7 +199,7 @@ Protected Member Functions

Protected Member Functions

-
95  : Graph(undirected_edges.size() + 1, undirected_edges), root(root_) {
+
95  : Graph(undirected_edges.size() + 1, undirected_edges), root(root_) {
96  populate_parents();
97  }
@@ -230,8 +234,8 @@ Protected Member Functions
117  {
118  // Initialize the vector with -1 which indicates the vertex
119  // wasn't yet visited.
-
120  parent = std::vector<int>(number_of_vertices(), -1);
-
121  level = std::vector<int>(number_of_vertices());
+
120  parent = std::vector<int>(number_of_vertices(), -1);
+
121  level = std::vector<int>(number_of_vertices());
122  parent[root] = root;
123  level[root] = 0;
124  std::queue<int> queue_of_vertices;
@@ -239,7 +243,7 @@ Protected Member Functions
126  while (!queue_of_vertices.empty()) {
127  int vertex = queue_of_vertices.front();
128  queue_of_vertices.pop();
-
129  for (int neighbor : neighbors[vertex]) {
+
129  for (int neighbor : neighbors[vertex]) {
130  // As long as the vertex was not yet visited.
131  if (parent[neighbor] == -1) {
132  parent[neighbor] = vertex;
@@ -263,17 +267,17 @@ Here is the call graph for this function:
-
graph::Graph::Graph
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid v...
Definition: lowest_common_ancestor.cpp:62
graph::RootedTree::level
std::vector< int > level
Stores the distance from the root.
Definition: lowest_common_ancestor.cpp:106
std::vector< int >
std::vector::size
T size(T... args)
graph::RootedTree::populate_parents
void populate_parents()
Calculate the parents for all the vertices in the tree. Implements the breadth first search algorithm...
Definition: lowest_common_ancestor.cpp:117
std::queue
STL class.
+
Graph
Definition: bellman_ford.cpp:13
std::queue::front
T front(T... args)
+
graph::Graph::number_of_vertices
int number_of_vertices() const
Definition: lowest_common_ancestor.cpp:74
graph::RootedTree::parent
std::vector< int > parent
Stores parent of every vertex and for root its own index. The root is technically not its own parent,...
Definition: lowest_common_ancestor.cpp:104
std::queue::pop
T pop(T... args)
-
graph::Graph::neighbors
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition: lowest_common_ancestor.cpp:77
-
graph::Graph::number_of_vertices
int number_of_vertices() const
Definition: lowest_common_ancestor.cpp:74
+
graph::Graph::neighbors
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition: lowest_common_ancestor.cpp:77
std::queue::empty
T empty(T... args)
std::queue::push
T push(T... args)
graph::RootedTree::root
int root
Index of the root vertex.
Definition: lowest_common_ancestor.cpp:108
diff --git a/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.map b/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.map index 08071b807..8f1ac26c5 100644 --- a/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.map +++ b/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.map @@ -2,7 +2,7 @@ - + diff --git a/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.md5 b/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.md5 index 2738235cf..8e1aae6ac 100644 --- a/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.md5 +++ b/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.md5 @@ -1 +1 @@ -30afca0f7f3d555dd0b3b04338cf4c7b \ No newline at end of file +bc920f285b3152dc7c7b711077dbe589 \ No newline at end of file diff --git a/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.svg b/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.svg index c2c5e8253..e59c81508 100644 --- a/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.svg +++ b/d0/d58/classgraph_1_1_rooted_tree_ae6928f3ebd491541e9570e746b877c1e_cgraph.svg @@ -52,7 +52,7 @@ Node4 - + graph::Graph::number _of_vertices diff --git a/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.map b/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.map index efff5dcb9..c1e816849 100644 --- a/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.map +++ b/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.map @@ -1,7 +1,9 @@ - - - - - + + + + + + + diff --git a/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.md5 b/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.md5 index a51c5b14e..102875f3a 100644 --- a/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.md5 +++ b/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.md5 @@ -1 +1 @@ -6222b6f600a848964306825a71cbb89b \ No newline at end of file +0072e1bc0c7fb2e941efdf7ad16b4971 \ No newline at end of file diff --git a/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.svg b/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.svg index b320071c4..4941feed9 100644 --- a/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.svg +++ b/d1/d71/classgraph_1_1_lowest_common_ancestor__coll__graph.svg @@ -4,17 +4,17 @@ - + graph::LowestCommonAncestor - + Node1 - -graph::LowestCommonAncestor + +graph::LowestCommonAncestor @@ -22,80 +22,113 @@ Node2 - -std::vector< std::vector -< int > > + +std::vector< std::vector +< int > > Node2->Node1 - - - up + + + up Node5 - -graph::Graph + +graph::Graph< T > Node2->Node5 - - - neighbors + + + neighbors Node3 - -std::vector< int > + +std::vector< int > Node3->Node2 - - - elements + + + elements Node4 - -graph::RootedTree + +graph::RootedTree - + Node3->Node4 - - - level -parent + + + level +parent Node4->Node1 - - - tree + + + tree Node5->Node4 - - + + + + + +Node6 + + +std::map< T, std::list +< T > > + + + + + +Node6->Node5 + + + adjacency_list + + + +Node7 + + +T + + + + + +Node7->Node6 + + + keys diff --git a/d5/d08/classgraph_1_1_graph__coll__graph.map b/d5/d08/classgraph_1_1_graph__coll__graph.map index d4f37685a..ae8a3018d 100644 --- a/d5/d08/classgraph_1_1_graph__coll__graph.map +++ b/d5/d08/classgraph_1_1_graph__coll__graph.map @@ -1,5 +1,7 @@ - - + + + + diff --git a/d5/d08/classgraph_1_1_graph__coll__graph.md5 b/d5/d08/classgraph_1_1_graph__coll__graph.md5 index 6d4740ae7..9554b4369 100644 --- a/d5/d08/classgraph_1_1_graph__coll__graph.md5 +++ b/d5/d08/classgraph_1_1_graph__coll__graph.md5 @@ -1 +1 @@ -cb02e1f826a5c9132042f629176d9e40 \ No newline at end of file +dd90b2a0f94e72731318fb2cd2f8c019 \ No newline at end of file diff --git a/d5/d08/classgraph_1_1_graph__coll__graph.svg b/d5/d08/classgraph_1_1_graph__coll__graph.svg index 21febed17..e63766d61 100644 --- a/d5/d08/classgraph_1_1_graph__coll__graph.svg +++ b/d5/d08/classgraph_1_1_graph__coll__graph.svg @@ -3,18 +3,18 @@ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> - - + + -graph::Graph - +graph::Graph< T > + Node1 - -graph::Graph + +graph::Graph< T > @@ -31,9 +31,9 @@ Node2->Node1 - - - neighbors + + + neighbors @@ -51,5 +51,38 @@ elements + + +Node4 + + +std::map< T, std::list +< T > > + + + + + +Node4->Node1 + + + adjacency_list + + + +Node5 + + +T + + + + + +Node5->Node4 + + + keys + diff --git a/d5/d55/classgraph_1_1_rooted_tree-members.html b/d5/d55/classgraph_1_1_rooted_tree-members.html index 5a6ebfc19..b0feb67a0 100644 --- a/d5/d55/classgraph_1_1_rooted_tree-members.html +++ b/d5/d55/classgraph_1_1_rooted_tree-members.html @@ -97,10 +97,14 @@ $(document).ready(function(){initNavTree('d0/d58/classgraph_1_1_rooted_tree.html

This is the complete list of members for graph::RootedTree, including all inherited members.

- + + + + + - - + + diff --git a/d6/dec/breadth__first__search_8cpp__incl.map b/d6/dec/breadth__first__search_8cpp__incl.map index 284950310..0e353006e 100644 --- a/d6/dec/breadth__first__search_8cpp__incl.map +++ b/d6/dec/breadth__first__search_8cpp__incl.map @@ -1,8 +1,11 @@ - + + + + diff --git a/d6/dec/breadth__first__search_8cpp__incl.md5 b/d6/dec/breadth__first__search_8cpp__incl.md5 index c182cfa6a..64e83dec3 100644 --- a/d6/dec/breadth__first__search_8cpp__incl.md5 +++ b/d6/dec/breadth__first__search_8cpp__incl.md5 @@ -1 +1 @@ -2a98cfbb17689fd58d600ee0d7a5f394 \ No newline at end of file +b65025ea9c14343c016c8976b8722b95 \ No newline at end of file diff --git a/d6/dec/breadth__first__search_8cpp__incl.svg b/d6/dec/breadth__first__search_8cpp__incl.svg index 062f16990..2994de854 100644 --- a/d6/dec/breadth__first__search_8cpp__incl.svg +++ b/d6/dec/breadth__first__search_8cpp__incl.svg @@ -4,18 +4,18 @@ - + graph/breadth_first_search.cpp - + Node1 - -graph/breadth_first -_search.cpp + +graph/breadth_first +_search.cpp @@ -31,8 +31,8 @@ Node1->Node2 - - + + @@ -46,8 +46,8 @@ Node1->Node3 - - + + @@ -61,8 +61,8 @@ Node1->Node4 - - + + @@ -76,8 +76,8 @@ Node1->Node5 - - + + @@ -91,8 +91,53 @@ Node1->Node6 - - + + + + + +Node7 + + +map + + + + + +Node1->Node7 + + + + + +Node8 + + +list + + + + + +Node1->Node8 + + + + + +Node9 + + +string + + + + + +Node1->Node9 + + diff --git a/d7/dc1/classgraph_1_1_graph__inherit__graph.map b/d7/dc1/classgraph_1_1_graph__inherit__graph.map index 2ac032969..550ca4174 100644 --- a/d7/dc1/classgraph_1_1_graph__inherit__graph.map +++ b/d7/dc1/classgraph_1_1_graph__inherit__graph.map @@ -1,4 +1,4 @@ - - + + diff --git a/d7/dc1/classgraph_1_1_graph__inherit__graph.md5 b/d7/dc1/classgraph_1_1_graph__inherit__graph.md5 index 6693f7b8f..e695a088c 100644 --- a/d7/dc1/classgraph_1_1_graph__inherit__graph.md5 +++ b/d7/dc1/classgraph_1_1_graph__inherit__graph.md5 @@ -1 +1 @@ -1a9b4fcdd12e5e4774146501e35513f2 \ No newline at end of file +e88ff9fa68c44965494d4df789ea7dd4 \ No newline at end of file diff --git a/d7/dc1/classgraph_1_1_graph__inherit__graph.svg b/d7/dc1/classgraph_1_1_graph__inherit__graph.svg index ab7c05e42..22554912a 100644 --- a/d7/dc1/classgraph_1_1_graph__inherit__graph.svg +++ b/d7/dc1/classgraph_1_1_graph__inherit__graph.svg @@ -3,18 +3,18 @@ "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"> - + -graph::Graph +graph::Graph< T > Node1 - -graph::Graph + +graph::Graph< T > diff --git a/d8/d95/vector__ops_8hpp_source.html b/d8/d95/vector__ops_8hpp_source.html index cc094aa67..1ab633bc9 100644 --- a/d8/d95/vector__ops_8hpp_source.html +++ b/d8/d95/vector__ops_8hpp_source.html @@ -612,6 +612,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
graph::is_graph_bipartite::Graph::Graph
Graph(int size)
Constructor that initializes the graph on creation.
Definition: is_graph_bipartite.cpp:65
number_of_digits
int number_of_digits(int num)
Definition: armstrong_number.cpp:21
+
graph::Graph::adjacency_list
std::map< T, std::list< T > > adjacency_list
Definition: breadth_first_search.cpp:69
double_hashing::Entry
Definition: double_hash_hash_table.cpp:36
std::showpoint
T showpoint(T... args)
stack::pop
void pop()
Definition: stack.h:99
@@ -639,11 +640,9 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
double_hashing::otherHashFxn
size_t otherHashFxn(int key)
Used for second hash function.
Definition: double_hash_hash_table.cpp:58
shortest_common_supersequence
Shortest Common Super Sequence algorithm.
std::string
STL class.
-
std::equal
T equal(T... args)
std::shared_ptr
STL class.
machine_learning::neural_network::layers::DenseLayer::operator=
DenseLayer & operator=(const DenseLayer &layer)=default
is_graph_bipartite
Functions for checking whether a graph is bipartite or not.
-
graph::Graph::Graph
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid v...
Definition: lowest_common_ancestor.cpp:62
MAX
#define MAX
Definition: fibonacci_fast.cpp:27
machine_learning::pop_back
std::valarray< T > pop_back(const std::valarray< T > &A)
Definition: vector_ops.hpp:119
Graph::addVertices
void addVertices(unsigned int num=1)
Definition: cycle_check_directed_graph.cpp:118
@@ -757,10 +756,11 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
machine_learning::adaline::check_size_match
bool check_size_match(const std::vector< double > &x)
Definition: adaline_learning.cpp:196
std::sqrt
T sqrt(T... args)
stack_idx
int stack_idx
pointer to track stack index
Definition: paranthesis_matching.cpp:23
-
tests
static void tests()
Definition: breadth_first_search.cpp:134
+
graph::Graph::number_of_vertices
int number_of_vertices() const
Definition: lowest_common_ancestor.cpp:74
+
tests
static void tests()
Definition: breadth_first_search.cpp:137
dynamic_programming::kadane::maxSubArray
int maxSubArray(const std::array< int, N > &n)
maxSubArray function is used to calculate the maximum sum subarray and returns the value of maximum s...
Definition: kadane2.cpp:42
machine_learning::neural_network::NeuralNetwork::evaluate_from_csv
void evaluate_from_csv(const std::string &file_name, const bool &last_label, const bool &normalize, const int &slip_lines=1)
Definition: neural_network.cpp:638
-
main
int main()
Definition: breadth_first_search.cpp:174
+
main
int main()
Definition: breadth_first_search.cpp:184
test1
void test1()
Definition: kohonen_som_trace.cpp:233
std::vector::clear
T clear(T... args)
hash_chain::add
void add(int x, int h)
create and add a new node with a give value and at a given height
Definition: chaining.cpp:45
@@ -792,7 +792,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
graph::RootedTree::parent
std::vector< int > parent
Stores parent of every vertex and for root its own index. The root is technically not its own parent,...
Definition: lowest_common_ancestor.cpp:104
graph::dijkstra
int dijkstra(std::vector< std::vector< std::pair< int, int >>> *adj, int s, int t)
Function runs the dijkstra algorithm for some source vertex and target vertex in the graph and return...
Definition: dijkstra.cpp:66
CycleCheck::isCyclicDFSHelper
static bool isCyclicDFSHelper(AdjList const &adjList, std::vector< nodeStates > *state, unsigned int node)
Definition: cycle_check_directed_graph.cpp:170
-
graph::add_undirected_edge
void add_undirected_edge(adjacency_list *graph, int u, int v)
Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacen...
Definition: breadth_first_search.cpp:92
graph::RootedTree::RootedTree
RootedTree(const std::vector< std::pair< int, int > > &undirected_edges, int root_)
Constructs the tree by calculating parent for every vertex. Assumes a valid description of a tree is ...
Definition: lowest_common_ancestor.cpp:93
MinHeapNode
Definition: huffman.cpp:7
main
int main()
Definition: line_segment_intersection.cpp:92
@@ -848,17 +847,17 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
test_3d_classes1
void test_3d_classes1(std::vector< std::valarray< double >> *data)
Definition: kohonen_som_topology.cpp:411
fib
uint64_t fib(uint64_t n)
Definition: fibonacci_fast.cpp:30
quadratic_probing::rehash
void rehash()
Definition: quadratic_probing_hash_table.cpp:160
-
graph::breadth_first_search
std::vector< bool > breadth_first_search(const adjacency_list &graph, int start)
Function performs the breadth first search algorithm over the graph.
Definition: breadth_first_search.cpp:107
data_structures
Data Structures algorithms.
test2
void test2()
Definition: kohonen_som_topology.cpp:451
SegmentIntersection::on_segment
bool on_segment(Point first_point, Point second_point, Point third_point)
Definition: line_segment_intersection.cpp:75
graph::is_graph_bipartite::Graph::is_bipartite
bool is_bipartite()
function to add edges to our graph
Definition: is_graph_bipartite.cpp:106
machine_learning::neural_network::layers::DenseLayer::DenseLayer
DenseLayer(const int &neurons, const std::string &activation, const std::pair< size_t, size_t > &kernel_shape, const bool &random_kernel)
Definition: neural_network.cpp:141
+
graph::Graph::neighbors
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition: lowest_common_ancestor.cpp:77
double_hashing::rehash
void rehash()
Definition: double_hash_hash_table.cpp:161
endl
#define endl
Definition: matrix_exponentiation.cpp:36
stack::push
void push(Type item)
Definition: stack.h:83
test2
void test2()
Definition: kohonen_som_trace.cpp:315
- +
std::map
STL class.
hash_chain::hash
virtual int hash(int x) const
Compute the hash of a value for current chain.
Definition: chaining.cpp:91
quadratic_probing::addInfo
void addInfo(int key)
Definition: quadratic_probing_hash_table.cpp:207
double_hashing::display
void display()
Definition: double_hash_hash_table.cpp:143
@@ -872,7 +871,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
print
void print(uint32_t N, const std::vector< bool > &is_prime)
Definition: sieve_of_eratosthenes.cpp:44
main
int main(int argc, char **argv)
Definition: hamiltons_cycle.cpp:142
machine_learning::neural_network::NeuralNetwork::NeuralNetwork
NeuralNetwork()=default
-
graph::Graph::neighbors
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition: lowest_common_ancestor.cpp:77
Graph::Graph
Graph(unsigned int vertices, AdjList &&adjList)
Definition: cycle_check_directed_graph.cpp:76
machine_learning::neural_network::NeuralNetwork
Definition: neural_network.cpp:247
@@ -894,6 +892,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
main
int main()
Main function.
Definition: 0_1_knapsack.cpp:125
stack::top
Type top()
Definition: stack.h:93
geometry::jarvis::Convexhull
Definition: jarvis_algorithm.cpp:55
+
graph::Graph::add_edge
void add_edge(T u, T v, bool bidir=true)
Definition: breadth_first_search.cpp:72
graph::HKGraph::bfs
bool bfs()
This function checks for the possibility of augmented path availability.
Definition: hopcroft_karp.cpp:133
hamilton_cycle
bool hamilton_cycle(const std::vector< std::vector< bool >> &routes)
Definition: hamiltons_cycle.cpp:30
data_structures::trie::deleteString
bool deleteString(const std::string &str, int index)
Definition: trie_tree.cpp:134
@@ -943,7 +942,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
test
static void test()
Test implementations.
Definition: word_break.cpp:156
linear_probing::removalInfo
void removalInfo(int key)
Definition: linear_probing_hash_table.cpp:201
show
void show(const struct tower *const F, const struct tower *const T, const struct tower *const U)
Definition: tower_of_hanoi.cpp:19
-
graph::Graph::number_of_vertices
int number_of_vertices() const
Definition: lowest_common_ancestor.cpp:74
tests
void tests()
Definition: hopcroft_karp.cpp:255
compare
Definition: huffman.cpp:28
stack
Definition: stack.h:26
@@ -959,7 +957,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
vector_ops.hpp
Various functions for vectors associated with NeuralNetwork (aka Multilayer Perceptron).
Trie::search
bool search(const std::string &word)
Definition: trie_modern.cpp:132
-
graph::Graph
Definition: lowest_common_ancestor.cpp:53
+
graph::Graph
Definition: breadth_first_search.cpp:64
machine_learning::neural_network::util_functions::identity_function
double identity_function(const double &x)
Definition: neural_network.cpp:112
std::fixed
T fixed(T... args)
graph::explore
void explore(const std::vector< std::vector< int >> *adj, int u, std::vector< bool > *visited)
Utility function for depth first seach algorithm this function explores the vertex which is passed in...
Definition: connected_components.cpp:59
@@ -972,6 +970,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
geometry::jarvis::Point
Definition: jarvis_algorithm.cpp:47
test3
void test3()
Definition: kohonen_som_trace.cpp:414
std::queue::push
T push(T... args)
+
graph::Graph::Graph
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid v...
Definition: lowest_common_ancestor.cpp:62
graph::HKGraph::dist
std::vector< int > dist
dist represents the distance between vertex 'u' and vertex 'v'
Definition: hopcroft_karp.cpp:77
ols_test
void ols_test()
Definition: ordinary_least_squares_regressor.cpp:369
stack::isEmptyStack
bool isEmptyStack()
Definition: stack.h:80
@@ -1032,7 +1031,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
test3
static void test3()
Definition: hamiltons_cycle.cpp:122
std::vector::data
T data(T... args)
machine_learning::zeroes_initialization
void zeroes_initialization(std::vector< std::valarray< T >> &A, const std::pair< size_t, size_t > &shape)
Definition: vector_ops.hpp:213
-
graph::add_directed_edge
void add_directed_edge(adjacency_list *graph, int u, int v)
Adds a directed edge from vertex u to vertex v.
Definition: breadth_first_search.cpp:77
std::ofstream::is_open
T is_open(T... args)
std::set
STL class.
operator/
std::vector< float > operator/(std::vector< T > const &A, float const scalar)
Definition: ordinary_least_squares_regressor.cpp:174
@@ -1056,6 +1054,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
stack.h
This class specifies the basic operation on a stack as a linked list.
main
int main()
Definition: graph_coloring.cpp:96
dynamic_programming::cut_rod::maxProfitByCuttingRod
int maxProfitByCuttingRod(const std::array< int, T > &price, const int n)
Cuts the rod in different pieces and stores the maximum profit for each piece of the rod.
Definition: cut_rod.cpp:44
+
graph::Graph::breadth_first_search
std::map< T, bool > breadth_first_search(T src)
Definition: breadth_first_search.cpp:94
std::ifstream
STL class.
std::pow
T pow(T... args)
get_transpose
std::vector< std::vector< T > > get_transpose(std::vector< std::vector< T >> const &A)
Definition: ordinary_least_squares_regressor.cpp:300
diff --git a/d9/d23/classgraph_1_1_lowest_common_ancestor.html b/d9/d23/classgraph_1_1_lowest_common_ancestor.html index ca2cdeded..f756a841d 100644 --- a/d9/d23/classgraph_1_1_lowest_common_ancestor.html +++ b/d9/d23/classgraph_1_1_lowest_common_ancestor.html @@ -102,7 +102,7 @@ $(document).ready(function(){initNavTree('d9/d23/classgraph_1_1_lowest_common_an
Collaboration diagram for graph::LowestCommonAncestor:
-
+
[legend]
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)graph::Graphinline
add_edge(T u, T v, bool bidir=true)graph::Graph< T >inline
adjacency_listgraph::Graph< T >private
breadth_first_search(T src)graph::Graph< T >inline
Graph() (defined in graph::Graph< T >)graph::Graph< T >inline
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)graph::Graph< T >inline
levelgraph::RootedTree
neighborsgraph::Graph
number_of_vertices() constgraph::Graphinline
neighborsgraph::Graph< T >
number_of_vertices() constgraph::Graph< T >inline
parentgraph::RootedTree
populate_parents()graph::RootedTreeinlineprotected
rootgraph::RootedTree
@@ -286,12 +286,12 @@ Here is the call graph for this function:

Populate the "up" structure. See above.

212  {
-
213  up.resize(tree.number_of_vertices());
-
214  for (int vertex = 0; vertex < tree.number_of_vertices(); ++vertex) {
+
213  up.resize(tree.number_of_vertices());
+
214  for (int vertex = 0; vertex < tree.number_of_vertices(); ++vertex) {
215  up[vertex].push_back(tree.parent[vertex]);
216  }
-
217  for (int level = 0; (1 << level) < tree.number_of_vertices(); ++level) {
-
218  for (int vertex = 0; vertex < tree.number_of_vertices(); ++vertex) {
+
217  for (int level = 0; (1 << level) < tree.number_of_vertices(); ++level) {
+
218  for (int vertex = 0; vertex < tree.number_of_vertices(); ++vertex) {
219  // up[vertex][level + 1] = 2^(level + 1) th ancestor of vertex =
220  // = 2^level th ancestor of 2^level th ancestor of vertex =
221  // = 2^level th ancestor of up[vertex][level]
@@ -316,11 +316,11 @@ Here is the call graph for this function:
std::vector::resize
T resize(T... args)
graph::RootedTree::level
std::vector< int > level
Stores the distance from the root.
Definition: lowest_common_ancestor.cpp:106
graph::LowestCommonAncestor::populate_up
void populate_up()
Definition: lowest_common_ancestor.cpp:212
+
graph::Graph::number_of_vertices
int number_of_vertices() const
Definition: lowest_common_ancestor.cpp:74
std::vector::push_back
T push_back(T... args)
graph::LowestCommonAncestor::up
std::vector< std::vector< int > > up
for every vertex stores a list of its ancestors by powers of two For each vertex, the first element o...
Definition: lowest_common_ancestor.cpp:206
graph::RootedTree::parent
std::vector< int > parent
Stores parent of every vertex and for root its own index. The root is technically not its own parent,...
Definition: lowest_common_ancestor.cpp:104
std::swap
T swap(T... args)
-
graph::Graph::number_of_vertices
int number_of_vertices() const
Definition: lowest_common_ancestor.cpp:74
-

This is the complete list of members for graph::Graph, including all inherited members.

+

This is the complete list of members for graph::Graph< T >, including all inherited members.

- - - + + + + + + +
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)graph::Graphinline
neighborsgraph::Graph
number_of_vertices() constgraph::Graphinline
add_edge(T u, T v, bool bidir=true)graph::Graph< T >inline
adjacency_listgraph::Graph< T >private
breadth_first_search(T src)graph::Graph< T >inline
Graph() (defined in graph::Graph< T >)graph::Graph< T >inline
Graph(size_t N, const std::vector< std::pair< int, int > > &undirected_edges)graph::Graph< T >inline
neighborsgraph::Graph< T >
number_of_vertices() constgraph::Graph< T >inline
diff --git a/dc/d61/classgraph_1_1_graph.html b/dc/d61/classgraph_1_1_graph.html index c0c047b4f..b562a3575 100644 --- a/dc/d61/classgraph_1_1_graph.html +++ b/dc/d61/classgraph_1_1_graph.html @@ -5,7 +5,7 @@ -Algorithms_in_C++: graph::Graph Class Reference +Algorithms_in_C++: graph::Graph< T > Class Template Reference @@ -93,53 +93,68 @@ $(document).ready(function(){initNavTree('dc/d61/classgraph_1_1_graph.html','../
Public Member Functions | Public Attributes | +Private Attributes | List of all members
-
graph::Graph Class Reference
+
graph::Graph< T > Class Template Reference
-Inheritance diagram for graph::Graph:
+Inheritance diagram for graph::Graph< T >:
[legend]
-Collaboration diagram for graph::Graph:
+Collaboration diagram for graph::Graph< T >:
-
+
[legend]
- - - - - + + + + + + + + +

Public Member Functions

 Graph (size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
 Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid vertex indices. More...
 
int number_of_vertices () const
 
void add_edge (T u, T v, bool bidir=true)
 
std::map< T, bool > breadth_first_search (T src)
 
 Graph (size_t N, const std::vector< std::pair< int, int > > &undirected_edges)
 Populate the adjacency list for each vertex in the graph. Assumes that evey edge is a pair of valid vertex indices. More...
 
int number_of_vertices () const
 
- - - + + + +

Public Attributes

-std::vector< std::vector< int > > neighbors
 for each vertex it stores a list indicies of its neighbors
 
+std::vector< std::vector< int > > neighbors
 for each vertex it stores a list indicies of its neighbors
 
+ + +

+Private Attributes

std::map< T, std::list< T > > adjacency_list
 

Detailed Description

-

Class for representing a graph as an adjacency list. Its vertices are indexed 0, 1, ..., N - 1.

+

template<typename T>
+class graph::Graph< T >

+ +

Class for representing a graph as an adjacency list. Its vertices are indexed 0, 1, ..., N - 1.

Constructor & Destructor Documentation

- -

◆ Graph()

+ +

◆ Graph()

+
+template<typename T >
- + @@ -172,33 +187,178 @@ Public Attributes
62  {
-
63  neighbors.resize(N);
+
63  neighbors.resize(N);
64  for (auto &edge : undirected_edges) {
-
65  neighbors[edge.first].push_back(edge.second);
-
66  neighbors[edge.second].push_back(edge.first);
+
65  neighbors[edge.first].push_back(edge.second);
+
66  neighbors[edge.second].push_back(edge.first);
67  }
68  }
Here is the call graph for this function:
-
+

Member Function Documentation

- -

◆ number_of_vertices()

+ +

◆ add_edge()

+
+template<typename T >
graph::Graph::Graph graph::Graph< T >::Graph ( size_t  N,
+ + +
- + + + + + + + + + + + + + + + + + + + + + + +
int graph::Graph::number_of_vertices void graph::Graph< T >::add_edge (T u,
T v,
bool bidir = true 
)
+ 		+inline
+
+

add_edge(u,v,bidir) is used to add an edge between node u and node v by default , bidir is made true , i.e graph is bidirectional . It means if edge(u,v) is added then u-->v and v-->u both edges exist.

+

to make the graph unidirectional pass the third parameter of add_edge as false which will

+
72  {
+
73  /**
+
74  * add_edge(u,v,bidir) is used to add an edge between node u and node v
+
75  * by default , bidir is made true , i.e graph is bidirectional .
+
76  * It means if edge(u,v) is added then u-->v and v-->u both edges exist.
+
77  *
+
78  * to make the graph unidirectional pass the third parameter of add_edge as
+
79  * false which will
+
80  */
+
81  adjacency_list[u].push_back(v); // u-->v edge added
+
82  if(bidir==true){
+
83  // if graph is bidirectional
+
84  adjacency_list[v].push_back(u); // v-->u edge added
+
85  }
+
86  }
+
+
+ + +

◆ breadth_first_search()

+ +
+
+
+template<typename T >
+ + + + + +
+ + + + + + + + +
std::map<T,bool> graph::Graph< T >::breadth_first_search (T src)
+ 		+inline
+
+

this function performs the breadth first search on graph and return a mapping which maps the nodes to a boolean value representing whether the node was traversed or not.

+

mapping to keep track of all visited nodes

+

initialise every possible vertex to map to false initially none of the vertices are unvisited

+

queue to store the nodes which are yet to be traversed

+

push the source vertex to queue to begin traversing

+

mark the source vertex as visited

+

traverse the graph till no connected vertex are left extract a node from queue for further traversal

+

remove the node from the queue

+

check every vertex connected to the node which are still unvisited

+

if the neighbour is unvisited , push it into the queue

+

mark the neighbour as visited

+
94  {
+
95  /// mapping to keep track of all visited nodes
+
96  std::map<T,bool> visited;
+
97  /// initialise every possible vertex to map to false
+
98  /// initially none of the vertices are unvisited
+
99  for(auto const &adjlist: adjacency_list){
+
100  visited[adjlist.first]=false;
+
101  for(auto const &node:adjacency_list[adjlist.first]){
+
102  visited[node]=false;
+
103  }
+
104  }
+
105 
+
106  /// queue to store the nodes which are yet to be traversed
+
107  std::queue<T> tracker;
+
108 
+
109  /// push the source vertex to queue to begin traversing
+
110  tracker.push(src);
+
111  ///mark the source vertex as visited
+
112  visited[src]=true;
+
113  while(!tracker.empty()){
+
114  /// traverse the graph till no connected vertex are left
+
115  /// extract a node from queue for further traversal
+
116  T node = tracker.front();
+
117  /// remove the node from the queue
+
118  tracker.pop();
+
119  for(T const &neighbour : adjacency_list[node]){
+
120  /// check every vertex connected to the node which are still unvisited
+
121  if(!visited[neighbour]){
+
122  /// if the neighbour is unvisited , push it into the queue
+
123  tracker.push(neighbour);
+
124  /// mark the neighbour as visited
+
125  visited[neighbour]=true;
+
126  }
+
127  }
+
128  }
+
129  return visited;
+
130  }
+
+Here is the call graph for this function:
+
+
+
+
+ +
+
+ +

◆ number_of_vertices()

+ +
+
+
+template<typename T >
+ + +
+ + + @@ -211,25 +371,61 @@ Here is the call graph for this function:
int graph::Graph< T >::number_of_vertices ( ) const

Function to get the number of vertices in the graph

Returns
the number of vertices in the graph.
-
74 { return neighbors.size(); }
+
74 { return neighbors.size(); }
Here is the call graph for this function:
-
+
-
The documentation for this class was generated from the following file:
    +

    Member Data Documentation

    + +

    ◆ adjacency_list

    + +
    +
    +
    +template<typename T >
    + + + + + +
    + + + + +
    std::map<T,std::list<T> > graph::Graph< T >::adjacency_list
    +     		+private
    +
    +

    adjacency_list maps every vertex to the list of its neighbours in the order in which they are added.

    + +
    +
    +
    The documentation for this class was generated from the following files:
+
graph::Graph::adjacency_list
std::map< T, std::list< T > > adjacency_list
Definition: breadth_first_search.cpp:69
std::vector::resize
T resize(T... args)
std::vector::size
T size(T... args)
+
node
Definition: avltree.cpp:13
+
node
struct list node
+
std::queue
STL class.
+
std::queue::front
T front(T... args)
std::vector::push_back
T push_back(T... args)
-
graph::Graph::neighbors
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition: lowest_common_ancestor.cpp:77
+
std::queue::pop
T pop(T... args)
+
graph::Graph::neighbors
std::vector< std::vector< int > > neighbors
for each vertex it stores a list indicies of its neighbors
Definition: lowest_common_ancestor.cpp:77
+
std::map
STL class.
+
std::queue::empty
T empty(T... args)
+
std::queue::push
T push(T... args)
- + diff --git a/df/d82/breadth__first__search_8cpp.html b/df/d82/breadth__first__search_8cpp.html index ae00e1756..95bda4883 100644 --- a/df/d82/breadth__first__search_8cpp.html +++ b/df/d82/breadth__first__search_8cpp.html @@ -91,8 +91,8 @@ $(document).ready(function(){initNavTree('df/d82/breadth__first__search_8cpp.htm
+Classes | Namespaces | -Typedefs | Functions
breadth_first_search.cpp File Reference
@@ -106,36 +106,29 @@ $(document).ready(function(){initNavTree('df/d82/breadth__first__search_8cpp.htm #include <iostream>
#include <queue>
#include <vector>
+#include <map>
+#include <list>
+#include <string>
Include dependency graph for breadth_first_search.cpp:
-
+

Classes

class  graph::Graph
class  graph::Graph< T >
 
class  graph::RootedTree
 
+ + + +

+Classes

class  graph::Graph< T >
 

Namespaces

 graph
 Graph algorithms.
 
- - - - -

-Typedefs

using graph::adjacency_list = std::vector< std::vector< int > >
 Representation of the graph as an adjacency list. More...
 
- - - - - - - - - @@ -143,7 +136,9 @@ Functions

Functions

void graph::add_directed_edge (adjacency_list *graph, int u, int v)
 Adds a directed edge from vertex u to vertex v. More...
 
void graph::add_undirected_edge (adjacency_list *graph, int u, int v)
 Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacency list reprsentation of the graph. More...
 
std::vector< bool > graph::breadth_first_search (const adjacency_list &graph, int start)
 Function performs the breadth first search algorithm over the graph. More...
 
static void tests ()
 
int main ()

Detailed Description

Breadth First Search Algorithm (Breadth First Search)

-
Author
Ayaan Khan
+
Author
Ayaan Khan
+
+Aman Kumar Pandey

Breadth First Search also quoted as BFS is a Graph Traversal Algorithm. Time Complexity O(|V| + |E|) where V are the number of vertices and E are the number of edges in the graph.

Applications of Breadth First Search are

    @@ -181,34 +176,29 @@ Functions

Main function

-
174  {
-
175  tests();
-
176 
-
177  size_t vertices = 0, edges = 0;
-
178  std::cout << "Enter the number of vertices: ";
-
179  std::cin >> vertices;
-
180  std::cout << "Enter the number of edges: ";
-
181  std::cin >> edges;
-
182 
-
183  graph::adjacency_list graph(vertices);
-
184 
-
185  std::cout << "Enter space-separated pairs of vertices that form edges: "
-
186  << std::endl;
-
187  while (edges--) {
-
188  int u = 0, v = 0;
-
189  std::cin >> u >> v;
-
190  // Decrement the vertex index so that we can read more convenint
-
191  // 1-based indexing from the user input.
-
192  graph::add_directed_edge(&graph, u - 1, v - 1);
-
193  }
-
194 
-
195  graph::breadth_first_search(graph, 0);
-
196  return 0;
-
197 }
+
184  {
+
185  tests();
+
186  size_t edges = 0;
+
187  std::cout << "Enter the number of edges: ";
+
188  std::cin >> edges;
+
189 
+
190  graph::Graph<int> g;
+
191 
+
192  std::cout << "Enter space-separated pairs of vertices that form edges: "
+
193  << std::endl;
+
194  while (edges--) {
+
195  int u = 0, v = 0;
+
196  std::cin >> u >> v;
+
197  g.add_edge(u,v);
+
198  }
+
199 
+
200  g.breadth_first_search(0);
+
201  return 0;
+
202 }
Here is the call graph for this function:
-
+
@@ -240,48 +230,55 @@ Here is the call graph for this function:

Test 1 Begin

Test 2 Begin

Test 3 Begins

-
134  {
-
135  /// Test 1 Begin
-
136  graph::adjacency_list graph(4, std::vector<int>());
-
137  graph::add_undirected_edge(&graph, 0, 1);
-
138  graph::add_undirected_edge(&graph, 1, 2);
-
139  graph::add_undirected_edge(&graph, 2, 3);
-
140 
-
141  std::vector<bool> returned_result = graph::breadth_first_search(graph, 2);
-
142  std::vector<bool> correct_result = {true, true, true, true};
-
143 
-
144  assert(std::equal(correct_result.begin(), correct_result.end(),
-
145  returned_result.begin()));
-
146  std::cout << "Test 1 Passed..." << std::endl;
-
147 
-
148  /// Test 2 Begin
-
149  returned_result = graph::breadth_first_search(graph, 0);
+
137  {
+
138  /// Test 1 Begin
+
139  graph::Graph<int> g;
+
140  std::map<int,bool> correct_result;
+
141  g.add_edge(0,1);
+
142  g.add_edge(1,2);
+
143  g.add_edge(2,3);
+
144  correct_result[0]=true;
+
145  correct_result[1]=true;
+
146  correct_result[2]=true;
+
147  correct_result[3]=true;
+
148 
+
149  std::map<int,bool> returned_result = g.breadth_first_search(2);
150 
-
151  assert(std::equal(correct_result.begin(), correct_result.end(),
-
152  returned_result.begin()));
-
153  std::cout << "Test 2 Passed..." << std::endl;
-
154 
-
155  /// Test 3 Begins
-
156  graph.clear();
-
157  graph.resize(6);
-
158  graph::add_directed_edge(&graph, 0, 1);
-
159  graph::add_directed_edge(&graph, 0, 2);
-
160  graph::add_directed_edge(&graph, 1, 3);
-
161  graph::add_directed_edge(&graph, 2, 3);
-
162  graph::add_directed_edge(&graph, 1, 4);
-
163  graph::add_directed_edge(&graph, 3, 5);
-
164 
-
165  returned_result = graph::breadth_first_search(graph, 2);
-
166  correct_result = {false, false, true, true, false, true};
-
167 
-
168  assert(std::equal(correct_result.begin(), correct_result.end(),
-
169  returned_result.begin()));
-
170  std::cout << "Test 3 Passed..." << std::endl;
-
171 }
+
151  assert(returned_result==correct_result);
+
152  std::cout << "Test 1 Passed..." << std::endl;
+
153 
+
154  /// Test 2 Begin
+
155  returned_result = g.breadth_first_search(0);
+
156 
+
157  assert(returned_result==correct_result);
+
158  std::cout << "Test 2 Passed..." << std::endl;
+
159 
+
160  /// Test 3 Begins
+
161  graph::Graph<std::string> g2;
+
162 
+
163  g2.add_edge("Gorakhpur","Lucknow",false);
+
164  g2.add_edge("Gorakhpur","Kanpur",false);
+
165  g2.add_edge("Lucknow","Agra",false);
+
166  g2.add_edge("Kanpur","Agra",false);
+
167  g2.add_edge("Lucknow","Prayagraj",false);
+
168  g2.add_edge("Agra","Noida",false);
+
169 
+
170  std::map<std::string,bool> correct_res;
+
171  std::map<std::string,bool> returned_res=g2.breadth_first_search("Kanpur");
+
172  correct_res["Gorakhpur"]=false;
+
173  correct_res["Lucknow"]=false;
+
174  correct_res["Kanpur"]=true;
+
175  correct_res["Agra"]=true;
+
176  correct_res["Prayagraj"]=false;
+
177  correct_res["Noida"]=true;
+
178  assert(correct_res==returned_res);
+
179  std::cout << "Test 3 Passed..." << std::endl;
+
180 
+
181 }
Here is the call graph for this function:
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+
@@ -289,18 +286,14 @@ Here is the call graph for this function:
-
std::equal
T equal(T... args)
- -
tests
static void tests()
Definition: breadth_first_search.cpp:134
-
graph::add_undirected_edge
void add_undirected_edge(adjacency_list *graph, int u, int v)
Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacen...
Definition: breadth_first_search.cpp:92
+
tests
static void tests()
Definition: breadth_first_search.cpp:137
-
graph::breadth_first_search
std::vector< bool > breadth_first_search(const adjacency_list &graph, int start)
Function performs the breadth first search algorithm over the graph.
Definition: breadth_first_search.cpp:107
+
std::map
STL class.
+
graph::Graph::add_edge
void add_edge(T u, T v, bool bidir=true)
Definition: breadth_first_search.cpp:72
std::endl
T endl(T... args)
-
std::vector::begin
T begin(T... args)
-
graph
Graph algorithms.
-
std::vector::end
T end(T... args)
+
graph::Graph
Definition: breadth_first_search.cpp:64
-
graph::add_directed_edge
void add_directed_edge(adjacency_list *graph, int u, int v)
Adds a directed edge from vertex u to vertex v.
Definition: breadth_first_search.cpp:77
+
graph::Graph::breadth_first_search
std::map< T, bool > breadth_first_search(T src)
Definition: breadth_first_search.cpp:94
class  RootedTree
 
- - - - -

-Typedefs

using adjacency_list = std::vector< std::vector< int > >
 Representation of the graph as an adjacency list. More...
 
- - - - - - - - - @@ -159,126 +143,7 @@ Functions

Detailed Description

Graph algorithms.

Graph Algorithms.

-

Typedef Documentation

- -

◆ adjacency_list

- -
-
-

Functions

void add_directed_edge (adjacency_list *graph, int u, int v)
 Adds a directed edge from vertex u to vertex v. More...
 
void add_undirected_edge (adjacency_list *graph, int u, int v)
 Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacency list reprsentation of the graph. More...
 
std::vector< bool > breadth_first_search (const adjacency_list &graph, int start)
 Function performs the breadth first search algorithm over the graph. More...
 
void addEdge (std::vector< std::vector< int >> *adj, int u, int v)
 Function that add edge between two nodes or vertices of graph. More...
 
- - - -
using graph::adjacency_list = typedef std::vector<std::vector<int> >
-
- -

Representation of the graph as an adjacency list.

-

For every vertex, there is a list of its neighbors in the order in which they were added to the graph. By default, the edges are directed, but an undirected graph can be represented simply by storing each each as two directed edges in both directions.

- -
-
-

Function Documentation

- -

◆ add_directed_edge()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
void graph::add_directed_edge (adjacency_list * graph,
int u,
int v 
)
-
- -

Adds a directed edge from vertex u to vertex v.

-
Parameters
- - - - -
graphAdjacency list representation of graph
ufirst vertex
vsecond vertex
-
-
-
77  {
-
78  (*graph)[u].push_back(v);
-
79 }
-
-
-
- -

◆ add_undirected_edge()

- -
-
- - - - - - - - - - - - - - - - - - - - - - - - -
void graph::add_undirected_edge (adjacency_list * graph,
int u,
int v 
)
-
- -

Adds an undirected edge from vertex u to vertex v. Essentially adds too directed edges to the adjacency list reprsentation of the graph.

-
Parameters
- - - - -
graphAdjacency list representation of graph
ufirst vertex
vsecond vertex
-
-
-
92  {
-
93  add_directed_edge(graph, u, v);
-
94  add_directed_edge(graph, v, u);
-
95 }
-
-Here is the call graph for this function:
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-
-
-
- -
-
+

Function Documentation

◆ addEdge() [1/3]

@@ -439,77 +304,6 @@ Here is the call graph for this function:
- - - -

◆ breadth_first_search()

- -
-
- - - - - - - - - - - - - - - - - - -
std::vector<bool> graph::breadth_first_search (const adjacency_list & graph,
int start 
)
-
- -

Function performs the breadth first search algorithm over the graph.

-
Parameters
- - - -
graphAdjacency list representation of graph
startvertex from where traversing starts
-
-
-
Returns
a binary vector indicating which vertices were visited during the search.
-

vector to keep track of visited vertices

-

queue that stores vertices that need to be further explored

-

mark the starting vertex as visited

-

if the vertex is not visited then mark it as visited and push it to the queue

-
107  {
-
108  /// vector to keep track of visited vertices
-
109  std::vector<bool> visited(graph.size(), false);
-
110  /// queue that stores vertices that need to be further explored
-
111  std::queue<int> tracker;
-
112 
-
113  /// mark the starting vertex as visited
-
114  visited[start] = true;
-
115  tracker.push(start);
-
116  while (!tracker.empty()) {
-
117  size_t vertex = tracker.front();
-
118  tracker.pop();
-
119  for (auto x : graph[vertex]) {
-
120  /// if the vertex is not visited then mark it as visited
-
121  /// and push it to the queue
-
122  if (!visited[x]) {
-
123  visited[x] = true;
-
124  tracker.push(x);
-
125  }
-
126  }
-
127  }
-
128  return visited;
-
129 }
-
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@@ -827,20 +621,16 @@ Here is the call graph for this function:
std::vector::size
T size(T... args)
-
std::queue
STL class.
-
std::queue::front
T front(T... args)
graph::explore
void explore(const std::vector< std::vector< size_t >> &adj, size_t v, std::vector< bool > *visited)
Explores the given vertex, exploring a vertex means traversing over all the vertices which are connec...
Definition: depth_first_search.cpp:80
-
std::queue::pop
T pop(T... args)
+
std::priority_queue::pop
T pop(T... args)
std::priority_queue::top
T top(T... args)
-
graph
Graph algorithms.
graph::explore
void explore(const std::vector< std::vector< int >> *adj, int u, std::vector< bool > *visited)
Utility function for depth first seach algorithm this function explores the vertex which is passed in...
Definition: connected_components.cpp:59
-
std::queue::empty
T empty(T... args)
-
std::queue::push
T push(T... args)
+
std::priority_queue::empty
T empty(T... args)
+
std::priority_queue::push
T push(T... args)
std::make_pair
T make_pair(T... args)
-
graph::add_directed_edge
void add_directed_edge(adjacency_list *graph, int u, int v)
Adds a directed edge from vertex u to vertex v.
Definition: breadth_first_search.cpp:77
diff --git a/functions_func_a.html b/functions_func_a.html index c0343dfd0..7d3401e54 100644 --- a/functions_func_a.html +++ b/functions_func_a.html @@ -109,10 +109,11 @@ $(document).ready(function(){initNavTree('functions_func_a.html',''); initResiza : large_number
  • add_edge() -: range_queries::heavy_light_decomposition::Tree< X > +: graph::Graph< T > +, range_queries::heavy_light_decomposition::Tree< X >
  • addEdge() -: Graph +: Graph , graph::HKGraph , graph::is_graph_bipartite::Graph
    • diff --git a/functions_func_b.html b/functions_func_b.html index 82c343e5a..6ab3308a3 100644 --- a/functions_func_b.html +++ b/functions_func_b.html @@ -99,6 +99,9 @@ $(document).ready(function(){initNavTree('functions_func_b.html',''); initResiza
  • bfs() : graph::HKGraph
    • +
  • breadth_first_search() +: graph::Graph< T > +
    • diff --git a/functions_func_g.html b/functions_func_g.html index 9086d1171..48ba24546 100644 --- a/functions_func_g.html +++ b/functions_func_g.html @@ -131,7 +131,7 @@ $(document).ready(function(){initNavTree('functions_func_g.html',''); initResiza
  • Graph() : Graph -, graph::Graph +, graph::Graph< T > , graph::is_graph_bipartite::Graph
    • diff --git a/functions_func_n.html b/functions_func_n.html index 8f5c5f6cf..26a53099d 100644 --- a/functions_func_n.html +++ b/functions_func_n.html @@ -107,7 +107,7 @@ $(document).ready(function(){initNavTree('functions_func_n.html',''); initResiza : large_number
  • number_of_vertices() -: graph::Graph +: graph::Graph< T >
    • diff --git a/functions_g.html b/functions_g.html index 7d48298cb..27934d294 100644 --- a/functions_g.html +++ b/functions_g.html @@ -131,7 +131,7 @@ $(document).ready(function(){initNavTree('functions_g.html',''); initResizable()
  • Graph() : Graph -, graph::Graph +, graph::Graph< T > , graph::is_graph_bipartite::Graph
    • diff --git a/functions_n.html b/functions_n.html index 93900d6da..6cc448a36 100644 --- a/functions_n.html +++ b/functions_n.html @@ -98,7 +98,7 @@ $(document).ready(function(){initNavTree('functions_n.html',''); initResizable() , graph::is_graph_bipartite::Graph
  • neighbors -: graph::Graph +: graph::Graph< T >
  • NeuralNetwork() : machine_learning::neural_network::NeuralNetwork @@ -123,7 +123,7 @@ $(document).ready(function(){initNavTree('functions_n.html',''); initResizable() : large_number
  • number_of_vertices() -: graph::Graph +: graph::Graph< T >
    • diff --git a/functions_vars.html b/functions_vars.html index 29d57c74f..077f6fdf1 100644 --- a/functions_vars.html +++ b/functions_vars.html @@ -110,6 +110,9 @@ $(document).ready(function(){initNavTree('functions_vars.html',''); initResizabl : graph::HKGraph , graph::is_graph_bipartite::Graph +
  • adjacency_list +: graph::Graph< T > +
  • arr : data_structures::trie
    • @@ -220,7 +223,7 @@ $(document).ready(function(){initNavTree('functions_vars.html',''); initResizabl , graph::is_graph_bipartite::Graph
  • neighbors -: graph::Graph +: graph::Graph< T >
  • next : hash_chain diff --git a/globals_func_i.html b/globals_func_i.html index 036092ccf..abdeb1215 100644 --- a/globals_func_i.html +++ b/globals_func_i.html @@ -123,12 +123,12 @@ $(document).ready(function(){initNavTree('globals_func_i.html',''); initResizabl
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • IsPrime() -: primality_test.cpp -
  • isPrime() : modular_inverse_fermat_little_theorem.cpp
    • +
  • IsPrime() +: primality_test.cpp +
  • it_ternary_search() : ternary_search.cpp
    • diff --git a/globals_i.html b/globals_i.html index 42dc8f695..190ee4a2c 100644 --- a/globals_i.html +++ b/globals_i.html @@ -123,15 +123,15 @@ $(document).ready(function(){initNavTree('globals_i.html',''); initResizable();
  • is_square() : ordinary_least_squares_regressor.cpp
    • -
  • isprime -: prime_factorization.cpp -
  • isPrime() : modular_inverse_fermat_little_theorem.cpp
  • IsPrime() : primality_test.cpp
    • +
  • isprime +: prime_factorization.cpp +
  • it_ternary_search() : ternary_search.cpp
    • diff --git a/globals_p.html b/globals_p.html index e0bfe83cf..0fbc24bc2 100644 --- a/globals_p.html +++ b/globals_p.html @@ -130,12 +130,12 @@ $(document).ready(function(){initNavTree('globals_p.html',''); initResizable();
  • predict_OLS_regressor() : ordinary_least_squares_regressor.cpp
    • -
  • PRIME -: rabin_karp.cpp -
  • prime : primes_up_to_billion.cpp
    • +
  • PRIME +: rabin_karp.cpp +
  • prime_factorization() : prime_factorization.cpp
    • diff --git a/hierarchy.html b/hierarchy.html index fecd8a4ff..5c0452fe8 100644 --- a/hierarchy.html +++ b/hierarchy.html @@ -108,14 +108,14 @@ This inheritance list is sorted roughly, but not completely, alphabetically: Cmachine_learning::neural_network::layers::DenseLayer  Cdouble_linked_list  CEdge - Cquadratic_probing::Entry - Cdouble_hashing::Entry - Clinear_probing::Entry + Cdouble_hashing::Entry + Clinear_probing::Entry + Cquadratic_probing::Entry  CFenwickTree  CGraph - Cgraph::is_graph_bipartite::GraphClass for representing graph as an adjacency list - ▼Cgraph::Graph - Cgraph::RootedTree + ▼Cgraph::Graph< T > + Cgraph::RootedTree + Cgraph::is_graph_bipartite::GraphClass for representing graph as an adjacency list  Chash_chainChain class with a given modulus  Cciphers::HillCipherImplementation of Hill Cipher algorithm  Cgraph::HKGraphRepresents Bipartite graph for Hopcroft Karp implementation @@ -134,8 +134,8 @@ This inheritance list is sorted roughly, but not completely, alphabetically: Cnode< Kind >  CNode  Cnode< Type > - Cgeometry::jarvis::Point - CPoint + CPoint + Cgeometry::jarvis::Point  Cquery  CQueue  Cqueue< Kind > @@ -145,8 +145,8 @@ This inheritance list is sorted roughly, but not completely, alphabetically: Crange_queries::heavy_light_decomposition::HLD< X >The Heavy-Light Decomposition class  Cdata_structures::SkipList  CSolution - Cstack< Type > - Cothers::postfix_expression::StackCreates an array to be used as stack for storing values + Cothers::postfix_expression::StackCreates an array to be used as stack for storing values + Cstack< Type >  Cstack_linkedList  Cstatistics::stats_computer1< T >  Cstatistics::stats_computer2< T > diff --git a/hierarchy.js b/hierarchy.js index 8fc4e12f7..baa788d36 100644 --- a/hierarchy.js +++ b/hierarchy.js @@ -10,15 +10,15 @@ var hierarchy = [ "machine_learning::neural_network::layers::DenseLayer", "dc/d93/classmachine__learning_1_1neural__network_1_1layers_1_1_dense_layer.html", null ], [ "double_linked_list", "d9/dee/classdouble__linked__list.html", null ], [ "Edge", "d7/d77/class_edge.html", null ], - [ "quadratic_probing::Entry", "da/dd1/structquadratic__probing_1_1_entry.html", null ], [ "double_hashing::Entry", "d9/dde/structdouble__hashing_1_1_entry.html", null ], [ "linear_probing::Entry", "db/d19/structlinear__probing_1_1_entry.html", null ], + [ "quadratic_probing::Entry", "da/dd1/structquadratic__probing_1_1_entry.html", null ], [ "FenwickTree", "dd/d91/class_fenwick_tree.html", null ], [ "Graph", "da/d9a/class_graph.html", null ], - [ "graph::is_graph_bipartite::Graph", "de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html", null ], - [ "graph::Graph", "dc/d61/classgraph_1_1_graph.html", [ + [ "graph::Graph< T >", "dc/d61/classgraph_1_1_graph.html", [ [ "graph::RootedTree", "d0/d58/classgraph_1_1_rooted_tree.html", null ] ] ], + [ "graph::is_graph_bipartite::Graph", "de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html", null ], [ "hash_chain", "dd/d1c/classhash__chain.html", null ], [ "ciphers::HillCipher", "d6/d26/classciphers_1_1_hill_cipher.html", null ], [ "graph::HKGraph", "d8/d69/classgraph_1_1_h_k_graph.html", null ], @@ -37,8 +37,8 @@ var hierarchy = [ "node< Kind >", "d5/da1/structnode.html", null ], [ "Node", "db/d8b/struct_node.html", null ], [ "node< Type >", "d5/da1/structnode.html", null ], - [ "geometry::jarvis::Point", "d9/d5a/structgeometry_1_1jarvis_1_1_point.html", null ], [ "Point", "d8/dc8/struct_point.html", null ], + [ "geometry::jarvis::Point", "d9/d5a/structgeometry_1_1jarvis_1_1_point.html", null ], [ "query", "dd/d1b/structquery.html", null ], [ "Queue", "dc/db5/struct_queue.html", null ], [ "queue< Kind >", "db/da9/classqueue.html", null ], @@ -49,8 +49,8 @@ var hierarchy = ] ], [ "data_structures::SkipList", "d4/d90/classdata__structures_1_1_skip_list.html", null ], [ "Solution", "dd/d4f/class_solution.html", null ], - [ "stack< Type >", "d1/dc2/classstack.html", null ], [ "others::postfix_expression::Stack", "d5/d8a/classothers_1_1postfix__expression_1_1_stack.html", null ], + [ "stack< Type >", "d1/dc2/classstack.html", null ], [ "stack_linkedList", "d2/dc4/classstack__linked_list.html", null ], [ "statistics::stats_computer1< T >", "d7/d7c/classstatistics_1_1stats__computer1.html", null ], [ "statistics::stats_computer2< T >", "d8/dab/classstatistics_1_1stats__computer2.html", null ], diff --git a/inherit_graph_18.map b/inherit_graph_18.map index 6c1bb7ddf..e25587002 100644 --- a/inherit_graph_18.map +++ b/inherit_graph_18.map @@ -1,4 +1,4 @@ - - + + diff --git a/inherit_graph_18.md5 b/inherit_graph_18.md5 index 14e5d10d3..6bc781138 100644 --- a/inherit_graph_18.md5 +++ b/inherit_graph_18.md5 @@ -1 +1 @@ -87e5359d2bddb6db2cd1fca274800de1 \ No newline at end of file +6eafaf6d042df9847e0e9a0f31d08595 \ No newline at end of file diff --git a/inherit_graph_18.svg b/inherit_graph_18.svg index 6cd22fd87..a50c9591e 100644 --- a/inherit_graph_18.svg +++ b/inherit_graph_18.svg @@ -4,17 +4,17 @@ - + Graphical Class Hierarchy - + Node0 - -graph::Graph + +graph::Graph< T > @@ -22,16 +22,16 @@ Node1 - -graph::RootedTree + +graph::RootedTree Node0->Node1 - - + + diff --git a/inherits.html b/inherits.html index 60a6376be..8013afd9c 100644 --- a/inherits.html +++ b/inherits.html @@ -133,7 +133,7 @@ $(document).ready(function(){initNavTree('hierarchy.html',''); initResizable();

    This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.

    - + diff --git a/menudata.js b/menudata.js index c47ac48b7..70df39c50 100644 --- a/menudata.js +++ b/menudata.js @@ -75,8 +75,7 @@ var menudata={children:[ {text:"u",url:"namespacemembers_func.html#index_u"}, {text:"v",url:"namespacemembers_func.html#index_v"}, {text:"z",url:"namespacemembers_func.html#index_z"}]}, -{text:"Variables",url:"namespacemembers_vars.html"}, -{text:"Typedefs",url:"namespacemembers_type.html"}]}]}, +{text:"Variables",url:"namespacemembers_vars.html"}]}]}, {text:"Classes",url:"annotated.html",children:[ {text:"Class List",url:"annotated.html"}, {text:"Class Index",url:"classes.html"}, diff --git a/namespacemembers.html b/namespacemembers.html index 80cb5b281..6d33af5c8 100644 --- a/namespacemembers.html +++ b/namespacemembers.html @@ -98,23 +98,14 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza , linear_probing , quadratic_probing -
  • add_directed_edge() -: graph -
    • -
  • add_undirected_edge() -: graph -
  • addEdge() -: graph +: graph
  • addInfo() : double_hashing , linear_probing , quadratic_probing
    • -
  • adjacency_list -: graph -
  • apply_function() : machine_learning
    • @@ -125,9 +116,6 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza

    - b -

    @@ -341,12 +329,12 @@ $(document).ready(function(){initNavTree('namespacemembers.html',''); initResiza
  • quadraticProbe() : quadratic_probing
    • -
  • quickSort() -: sorting -
  • quicksort() : sorting
    • +
  • quickSort() +: sorting +
    • diff --git a/namespacemembers_func.html b/namespacemembers_func.html index e99c9868d..40e459d9a 100644 --- a/namespacemembers_func.html +++ b/namespacemembers_func.html @@ -98,14 +98,8 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR , linear_probing , quadratic_probing -
  • add_directed_edge() -: graph -
    • -
  • add_undirected_edge() -: graph -
  • addEdge() -: graph +: graph
  • addInfo() : double_hashing @@ -122,9 +116,6 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR

    - b -

    @@ -329,12 +320,12 @@ $(document).ready(function(){initNavTree('namespacemembers_func.html',''); initR
  • quadraticProbe() : quadratic_probing
    • -
  • quickSort() -: sorting -
  • quicksort() : sorting
    • +
  • quickSort() +: sorting +
    • diff --git a/namespacemembers_type.html b/namespacemembers_type.html deleted file mode 100644 index ff84133ac..000000000 --- a/namespacemembers_type.html +++ /dev/null @@ -1,107 +0,0 @@ - - - - - - - -Algorithms_in_C++: Namespace Members - - - - - - - - - - - - - - - -
    -
    - - - - - - -
    -
    Algorithms_in_C++ -  1.0.0 -
    -
    Set of algorithms implemented in C++.
    -
    -
    - - - - - - - -
    -
    - -
    -
    -
    - -
    - -
    -
    - - -
    - -
    - -
    - 
      -
    • adjacency_list -: graph -
      • -
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