From a7071744aa2536ac71f61cae9b8a080ea1a7dead Mon Sep 17 00:00:00 2001 From: github-actions <${GITHUB_ACTOR}@users.noreply.github.com> Date: Thu, 27 Aug 2020 14:31:36 +0000 Subject: [PATCH] Documentation for 3239fcc19ea01f297707ee1f854bc6a6382f9e24 --- d6/dd8/is__graph__bipartite_8cpp.html | 86 ++-- ...8dca7b867074164d5f45b0f3851269d_cgraph.map | 2 +- ...8dca7b867074164d5f45b0f3851269d_cgraph.md5 | 2 +- ...8dca7b867074164d5f45b0f3851269d_cgraph.svg | 2 +- ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.map | 2 +- ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.md5 | 2 +- ...66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg | 2 +- .../nqueen__print__all__solutions_8cpp.html | 360 ++++++++++++++ d7/d24/nqueen__print__all__solutions_8cpp.js | 7 + ...bd5e11fab6dab282efccfb61beb0bd9_cgraph.map | 4 + ...bd5e11fab6dab282efccfb61beb0bd9_cgraph.md5 | 1 + ...bd5e11fab6dab282efccfb61beb0bd9_cgraph.svg | 38 ++ d7/dba/cll_8h_source.html | 2 + d8/d95/vector__ops_8hpp_source.html | 18 +- 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d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.md5 create mode 100644 d7/d24/nqueen__print__all__solutions_8cpp_aebd5e11fab6dab282efccfb61beb0bd9_cgraph.svg create mode 100644 dd/db5/nqueen__print__all__solutions_8cpp__incl.map create mode 100644 dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 create mode 100644 dd/db5/nqueen__print__all__solutions_8cpp__incl.svg create mode 100644 df/d44/namespacen__queens__all__solutions.html diff --git a/d6/dd8/is__graph__bipartite_8cpp.html b/d6/dd8/is__graph__bipartite_8cpp.html index 25a16c3ae..209635e3d 100644 --- a/d6/dd8/is__graph__bipartite_8cpp.html +++ b/d6/dd8/is__graph__bipartite_8cpp.html @@ -102,8 +102,8 @@ $(document).ready(function(){initNavTree('d6/dd8/is__graph__bipartite_8cpp.html'

Algorithm to check whether a graph is bipartite More...

#include <iostream>
-#include <vector>
#include <queue>
+#include <vector>
Include dependency graph for is_graph_bipartite.cpp:
@@ -129,22 +129,20 @@ Namespaces

Functions

static void test () - namespace graph More...
  int main ()  

Detailed Description

Algorithm to check whether a graph is bipartite

-

A graph is a collection of nodes also called vertices and these vertices are connected by edges.A bipartite graph is a graph whose vertices can be divided into two disjoint and independent sets U and V such that every edge connects a vertex in U to one in V.
-

-

The given Algorithm will determine whether the given graph is bipartite or not

+

A graph is a collection of nodes also called vertices and these vertices are connected by edges. A graph is bipartite if its vertices can be divided into two disjoint and independent sets U and V such that every edge connects a vertex in U to one in V.

+

The algorithm implemented in this file determines whether the given graph is bipartite or not.

-Example - Here is a graph g1 with 5 vertices and is bipartite
    1   4
+ Example - Here is a graph g1 with 5 vertices and is bipartite
    1   4
    / \ / \
-  2   3   5
Example - Here is a graph G2 with 3 vertices and is not bipartite
    1 --- 2
-     \   /
-       3
Author
Akshat Vaya
+ 2 3 5
Example - Here is a graph G2 with 3 vertices and is not bipartite
  1 --- 2
+   \   /
+     3
Author
Akshat Vaya

Function Documentation

◆ main()

@@ -163,10 +161,10 @@ Example - Here is a graph g1 with 5 vertices and is bipartite
    1
 

Main function

Testing

-
160  {
-
161  test(); ///Testing
-
162  return 0;
-
163 }
+
168  {
+
169  test(); /// Testing
+
170  return 0;
+
171 }
Here is the call graph for this function:
@@ -198,42 +196,40 @@ Here is the call graph for this function:
- -

namespace graph

Function to test the above algorithm

Returns
none

creating graph G1 with 5 vertices

adding edges to the graphs as per the illustrated example

creating graph G2 with 3 vertices

adding edges to the graphs as per the illustrated example

checking whether the graphs are bipartite or not

-
129  {
-
130  graph::is_graph_bipartite::Graph G1(5); /// creating graph G1 with 5 vertices
-
131  /// adding edges to the graphs as per the illustrated example
-
132  G1.addEdge(1,2);
-
133  G1.addEdge(1,3);
-
134  G1.addEdge(3,4);
-
135  G1.addEdge(4,5);
-
136 
-
137  graph::is_graph_bipartite::Graph G2(3); /// creating graph G2 with 3 vertices
-
138  /// adding edges to the graphs as per the illustrated example
-
139  G2.addEdge(1,2);
-
140  G2.addEdge(1,3);
-
141  G2.addEdge(2,3);
-
142 
-
143  /// checking whether the graphs are bipartite or not
-
144  if(G1.is_bipartite()){
-
145  std::cout<<"The given graph G1 is a bipartite graph\n";
-
146  }
-
147  else{
-
148  std::cout<<"The given graph G1 is not a bipartite graph\n";
-
149  }
-
150  if(G2.is_bipartite()){
-
151  std::cout<<"The given graph G2 is a bipartite graph\n";
-
152  }
-
153  else{
-
154  std::cout<<"The given graph G2 is not a bipartite graph\n";
-
155  }
-
156 }
+
136  {
+ +
138  5); /// creating graph G1 with 5 vertices
+
139  /// adding edges to the graphs as per the illustrated example
+
140  G1.addEdge(1, 2);
+
141  G1.addEdge(1, 3);
+
142  G1.addEdge(3, 4);
+
143  G1.addEdge(4, 5);
+
144 
+ +
146  3); /// creating graph G2 with 3 vertices
+
147  /// adding edges to the graphs as per the illustrated example
+
148  G2.addEdge(1, 2);
+
149  G2.addEdge(1, 3);
+
150  G2.addEdge(2, 3);
+
151 
+
152  /// checking whether the graphs are bipartite or not
+
153  if (G1.is_bipartite()) {
+
154  std::cout << "The given graph G1 is a bipartite graph\n";
+
155  } else {
+
156  std::cout << "The given graph G1 is not a bipartite graph\n";
+
157  }
+
158  if (G2.is_bipartite()) {
+
159  std::cout << "The given graph G2 is a bipartite graph\n";
+
160  } else {
+
161  std::cout << "The given graph G2 is not a bipartite graph\n";
+
162  }
+
163 }
Here is the call graph for this function:
@@ -245,9 +241,9 @@ Here is the call graph for this function:
-
static void test()
namespace graph
Definition: is_graph_bipartite.cpp:129
+
static void test()
Definition: is_graph_bipartite.cpp:136
-
Class for representing graph as an adjacency list.
Definition: is_graph_bipartite.cpp:49
+
Class for representing graph as an adjacency list.
Definition: is_graph_bipartite.cpp:51
+
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
double_hashing::Entry
Definition: double_hash_hash_table.cpp:36
std::showpoint
T showpoint(T... args)
@@ -635,7 +636,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
std::strlen
T strlen(T... args)
test
static void test()
Definition: jarvis_algorithm.cpp:151
quadratic_probing::removalInfo
void removalInfo(int key)
Definition: quadratic_probing_hash_table.cpp:222
-
graph::is_graph_bipartite::Graph::nax
static const int nax
stores the side of the vertex
Definition: is_graph_bipartite.cpp:57
Graph::getVertices
unsigned int getVertices() const
Definition: cycle_check_directed_graph.cpp:110
double_hashing::addInfo
void addInfo(int key)
Definition: double_hash_hash_table.cpp:212
double_hashing::otherHashFxn
size_t otherHashFxn(int key)
Used for second hash function.
Definition: double_hash_hash_table.cpp:58
@@ -705,7 +705,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
node
Definition: avltree.cpp:13
graph::RootedTree
Definition: lowest_common_ancestor.cpp:84
quadratic_probing::putProber
bool putProber(const Entry &entry, int key)
Definition: quadratic_probing_hash_table.cpp:106
-
main
int main()
Definition: is_graph_bipartite.cpp:160
+
main
int main()
Definition: is_graph_bipartite.cpp:168
quadratic_probing::display
void display()
Definition: quadratic_probing_hash_table.cpp:142
quadratic_probing::Entry
Definition: quadratic_probing_hash_table.cpp:37
machine_learning::neural_network::NeuralNetwork::batch_predict
std::vector< std::vector< std::valarray< double > > > batch_predict(const std::vector< std::vector< std::valarray< double >>> &X)
Definition: neural_network.cpp:464
@@ -760,7 +760,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
search
Search algorithms.
MAX_ITER
constexpr int MAX_ITER
Definition: adaline_learning.cpp:40
spirograph
-
test
static void test()
namespace graph
Definition: is_graph_bipartite.cpp:129
+
test
static void test()
Definition: is_graph_bipartite.cpp:136
machine_learning::argmax
size_t argmax(const std::vector< std::valarray< T >> &A)
Definition: vector_ops.hpp:307
std::tie
T tie(T... args)
Node
Definition: linkedlist_implentation_usingarray.cpp:14
@@ -805,7 +805,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
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:78
std::string::c_str
T c_str(T... args)
activations
Various activation functions used in Neural network.
-
graph::is_graph_bipartite::Graph::adj
std::vector< std::vector< int > > adj
size of the graph
Definition: is_graph_bipartite.cpp:53
machine_learning::neural_network::activations::sigmoid
double sigmoid(const double &x)
Definition: neural_network.cpp:60
double_hashing::hashFxn
size_t hashFxn(int key)
Hash a key. Uses the STL library's std::hash() function.
Definition: double_hash_hash_table.cpp:47
std::queue::pop
T pop(T... args)
@@ -841,7 +840,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
quadratic_probing::rehash
void rehash()
Definition: quadratic_probing_hash_table.cpp:160
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:98
+
graph::is_graph_bipartite::Graph::is_bipartite
bool is_bipartite()
function to add edges to our graph
Definition: is_graph_bipartite.cpp:106
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
@@ -852,6 +851,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
double_hashing::display
void display()
Definition: double_hash_hash_table.cpp:143
double_hashing::remove
void remove(int key)
Definition: double_hash_hash_table.cpp:199
graph::add_undirected_edge
void add_undirected_edge(std::vector< std::vector< int >> *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:81
+
graph::is_graph_bipartite::Graph::adj
std::vector< std::vector< int > > adj
adj stores the graph as an adjacency list
Definition: is_graph_bipartite.cpp:56
main
int main()
Definition: jarvis_algorithm.cpp:176
machine_learning::neural_network::NeuralNetwork::fit_from_csv
void fit_from_csv(const std::string &file_name, const bool &last_label, const int &epochs, const double &learning_rate, const bool &normalize, const int &slip_lines=1, const size_t &batch_size=32, const bool &shuffle=true)
Definition: neural_network.cpp:587
print
void print(uint32_t N, const std::vector< bool > &is_prime)
Definition: sieve_of_eratosthenes.cpp:44
@@ -862,7 +862,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
std::priority_queue
STL class.
std::rand
T rand(T... args)
jarvis
Functions for Jarvis’s algorithm.
-
graph::is_graph_bipartite::Graph::side
std::vector< int > side
adj stores the graph as an adjacency list
Definition: is_graph_bipartite.cpp:55
+
graph::is_graph_bipartite::Graph::side
std::vector< int > side
stores the side of the vertex
Definition: is_graph_bipartite.cpp:58
save_2d_data
int save_2d_data(const char *fname, const std::vector< std::valarray< double >> &X)
Definition: kohonen_som_topology.cpp:65
linear_probing
An implementation of hash table using linear probing algorithm.
test_lamniscate
void test_lamniscate(std::vector< std::valarray< double >> *data)
Definition: kohonen_som_trace.cpp:277
@@ -918,7 +918,6 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
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:73
compare
Definition: huffman.cpp:28
-
graph::is_graph_bipartite::Graph::Graph
Graph(int size=nax)
Constructor that initializes the graph on creation.
Definition: is_graph_bipartite.cpp:64
stack
Definition: stack.h:26
machine_learning::neural_network::activations::dsigmoid
double dsigmoid(const double &x)
Definition: neural_network.cpp:67
tests
static void tests()
Definition: lowest_common_ancestor.cpp:234
@@ -971,7 +970,7 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
std::range_error
STL class.
Point
Definition: line_segment_intersection.cpp:12
machine_learning::hadamard_product
std::vector< std::valarray< T > > hadamard_product(const std::vector< std::valarray< T >> &A, const std::vector< std::valarray< T >> &B)
Definition: vector_ops.hpp:494
-
graph::is_graph_bipartite::Graph
Class for representing graph as an adjacency list.
Definition: is_graph_bipartite.cpp:49
+
graph::is_graph_bipartite::Graph
Class for representing graph as an adjacency list.
Definition: is_graph_bipartite.cpp:51
machine_learning::kohonen_som
void kohonen_som(const std::vector< std::valarray< double >> &X, std::vector< std::vector< std::valarray< double >>> *W, double alpha_min)
Definition: kohonen_som_topology.cpp:269
push
void push(char ch)
push byte to stack variable
Definition: paranthesis_matching.cpp:26
Trie::removeWordHelper
std::shared_ptr< TrieNode > removeWordHelper(const std::string &word, std::shared_ptr< TrieNode > curr, size_t index)
Definition: trie_modern.cpp:64
@@ -1001,10 +1000,11 @@ $(document).ready(function(){initNavTree('d8/d95/vector__ops_8hpp_source.html','
operator/
std::vector< float > operator/(std::vector< T > const &A, float const scalar)
Definition: ordinary_least_squares_regressor.cpp:174
machine_learning::kohonen_som_tracer
void kohonen_som_tracer(const std::vector< std::valarray< double >> &X, std::vector< std::valarray< double >> *W, double alpha_min)
Definition: kohonen_som_trace.cpp:149
util_functions
Various utility functions used in Neural network.
-
graph::is_graph_bipartite::Graph::addEdge
void addEdge(int u, int v)
Function that add an edge between two nodes or vertices of graph.
Definition: is_graph_bipartite.cpp:81
+
graph::is_graph_bipartite::Graph::addEdge
void addEdge(int u, int v)
Function that add an edge between two nodes or vertices of graph.
Definition: is_graph_bipartite.cpp:83
std::ifstream::eof
T eof(T... args)
std::exit
T exit(T... args)
stack::clear
void clear()
Definition: stack.h:112
+
graph::is_graph_bipartite::Graph::n
int n
size of the graph
Definition: is_graph_bipartite.cpp:53
main
int main(int argc, char **argv)
Definition: adaline_learning.cpp:357
list
Definition: list_array.cpp:8
std::ostream::precision
T precision(T... args)
diff --git a/da/d50/is__graph__bipartite_8cpp__incl.map b/da/d50/is__graph__bipartite_8cpp__incl.map index 4c8d96ae0..8e6eb0450 100644 --- a/da/d50/is__graph__bipartite_8cpp__incl.map +++ b/da/d50/is__graph__bipartite_8cpp__incl.map @@ -1,6 +1,6 @@ - - + + diff --git a/da/d50/is__graph__bipartite_8cpp__incl.md5 b/da/d50/is__graph__bipartite_8cpp__incl.md5 index 19b13a422..d058acc3a 100644 --- a/da/d50/is__graph__bipartite_8cpp__incl.md5 +++ b/da/d50/is__graph__bipartite_8cpp__incl.md5 @@ -1 +1 @@ -c0030b115283fa45bde1216ac7ceaa23 \ No newline at end of file +ed6bd1d9873529f95b9f70df7d48ff6c \ No newline at end of file diff --git a/da/d50/is__graph__bipartite_8cpp__incl.svg b/da/d50/is__graph__bipartite_8cpp__incl.svg index 580c2cd82..aa45f3376 100644 --- a/da/d50/is__graph__bipartite_8cpp__incl.svg +++ b/da/d50/is__graph__bipartite_8cpp__incl.svg @@ -5,10 +5,10 @@ --> + viewBox="0.00 0.00 186.00 84.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink"> graph/is_graph_bipartite.cpp - + Node1 @@ -37,8 +37,8 @@ Node3 - -vector + +queue @@ -52,8 +52,8 @@ Node4 - -queue + +vector diff --git a/dc/d67/classgraph_1_1is__graph__bipartite_1_1_graph-members.html b/dc/d67/classgraph_1_1is__graph__bipartite_1_1_graph-members.html index a5d34d316..a1a6196e3 100644 --- a/dc/d67/classgraph_1_1is__graph__bipartite_1_1_graph-members.html +++ b/dc/d67/classgraph_1_1is__graph__bipartite_1_1_graph-members.html @@ -98,12 +98,11 @@ $(document).ready(function(){initNavTree('de/d00/classgraph_1_1is__graph__bipart

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

- - + + - - - + +
addEdge(int u, int v)graph::is_graph_bipartite::Graph
adjgraph::is_graph_bipartite::Graphprivate
Graph(int size=nax)graph::is_graph_bipartite::Graphinlineexplicit
adjgraph::is_graph_bipartite::Graphprivate
Graph(int size)graph::is_graph_bipartite::Graphinlineexplicit
is_bipartite()graph::is_graph_bipartite::Graph
n (defined in graph::is_graph_bipartite::Graph)graph::is_graph_bipartite::Graphprivate
naxgraph::is_graph_bipartite::Graphprivatestatic
sidegraph::is_graph_bipartite::Graphprivate
ngraph::is_graph_bipartite::Graphprivate
sidegraph::is_graph_bipartite::Graphprivate
diff --git a/dd/db5/nqueen__print__all__solutions_8cpp__incl.map b/dd/db5/nqueen__print__all__solutions_8cpp__incl.map new file mode 100644 index 000000000..d760cf33a --- /dev/null +++ b/dd/db5/nqueen__print__all__solutions_8cpp__incl.map @@ -0,0 +1,5 @@ + + + + + diff --git a/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 b/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 new file mode 100644 index 000000000..a8b9781cb --- /dev/null +++ b/dd/db5/nqueen__print__all__solutions_8cpp__incl.md5 @@ -0,0 +1 @@ +d8d6c187a7d5e98f4d547bc61dc0153a \ No newline at end of file diff --git a/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg b/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg new file mode 100644 index 000000000..ffbeb8eaf --- /dev/null +++ b/dd/db5/nqueen__print__all__solutions_8cpp__incl.svg @@ -0,0 +1,53 @@ + + + + + + +backtracking/nqueen_print_all_solutions.cpp + + + +Node1 + + +backtracking/nqueen +_print_all_solutions.cpp + + + + + +Node2 + + +iostream + + + + + +Node1->Node2 + + + + + +Node3 + + +array + + + + + +Node1->Node3 + + + + + diff --git a/de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html b/de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html index 610731b08..174a4d99a 100644 --- a/de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html +++ b/de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html @@ -93,7 +93,6 @@ $(document).ready(function(){initNavTree('de/d00/classgraph_1_1is__graph__bipart
Public Member Functions | Private Attributes | -Static Private Attributes | List of all members
graph::is_graph_bipartite::Graph Class Reference
@@ -111,10 +110,9 @@ Collaboration diagram for graph::is_graph_bipartite::Graph: - - - + + + @@ -125,27 +123,61 @@ Public Member Functions +int  + - - - + + + - + -

Public Member Functions

Graph (int size=nax)
 Constructor that initializes the graph on creation.
 
 Graph (int size)
 Constructor that initializes the graph on creation. More...
 
void addEdge (int u, int v)
 Function that add an edge between two nodes or vertices of graph. More...
 

Private Attributes

-int n
n
 size of the graph
 
-std::vector< std::vector< int > > adj
 size of the graph
 
+std::vector< std::vector< int > > adj
 adj stores the graph as an adjacency list
 
std::vector< int > side
 adj stores the graph as an adjacency list
 stores the side of the vertex
 
- - - -

-Static Private Attributes

-static const int nax = 5e5 + 1
 stores the side of the vertex
 

Detailed Description

Class for representing graph as an adjacency list.

-

Member Function Documentation

+

Constructor & Destructor Documentation

+ +

◆ Graph()

+ +
+
+ + + + + +
+ + + + + + + + +
graph::is_graph_bipartite::Graph::Graph (int size)
+
+inlineexplicit
+
+ +

Constructor that initializes the graph on creation.

+
Parameters
+ + +
sizenumber of vertices of the graph
+
+
+
65  {
+
66  n = size;
+
67  adj.resize(n);
+
68  side.resize(n, -1);
+
69  }
+
+
+
+

Member Function Documentation

◆ addEdge()

@@ -180,10 +212,10 @@ static const int 
81  {
-
82  adj[u-1].push_back(v-1);
-
83  adj[v-1].push_back(u-1);
-
84  }
+
83  {
+
84  adj[u - 1].push_back(v - 1);
+
85  adj[v - 1].push_back(u - 1);
+
86 }
Here is the call graph for this function:
@@ -210,32 +242,33 @@ Here is the call graph for this function:

function to add edges to our graph

function that checks whether the graph is bipartite or not the function returns true if the graph is a bipartite graph the function returns false if the graph is not a bipartite graph

-

Here, side refers to the two disjoint subsets of the bipartite graph. Initially, the values of side are set to -1 which is an unassigned state. A for loop is run for every vertex of the graph. If the current edge has no side assigned to it, then a Breadth First Search operation is performed. If two neighbours have the same side then the graph will not be bipartite and the value of check becomes false. If and only if each pair of neighbours have different sides, the value of check will be true and hence the graph bipartite.

-
98  {
-
99  bool check = true;
-
100  std::queue<int> q;
-
101  for (int current_edge = 0; current_edge < n; ++current_edge)
-
102  {
-
103  if(side[current_edge] == -1){
-
104  q.push(current_edge);
-
105  side[current_edge] = 0;
-
106  while(q.size()){
-
107  int current = q.front();
-
108  q.pop();
-
109  for(auto neighbour : adj[current]){
-
110  if(side[neighbour] == -1){
-
111  side[neighbour] = (1 ^ side[current]);
-
112  q.push(neighbour);
-
113  }
-
114  else{
-
115  check &= (side[neighbour] != side[current]);
-
116  }
-
117  }
-
118  }
-
119  }
-
120  }
-
121  return check;
-
122  }
+

Here, side refers to the two disjoint subsets of the bipartite graph. Initially, the values of side are set to -1 which is an unassigned state. A for loop is run for every vertex of the graph. If the current edge has no side assigned to it, then a Breadth First Search operation is performed. If two neighbours have the same side then the graph will not be bipartite and the value of check becomes false. If and only if each pair of neighbours have different sides, the value of check will be true and hence the graph bipartite.

+
Returns
true if th graph is bipartite
+
+false otherwise
+
106  {
+
107  bool check = true;
+
108  std::queue<int> q;
+
109  for (int current_edge = 0; current_edge < n; ++current_edge) {
+
110  if (side[current_edge] == -1) {
+
111  q.push(current_edge);
+
112  side[current_edge] = 0;
+
113  while (q.size()) {
+
114  int current = q.front();
+
115  q.pop();
+
116  for (auto neighbour : adj[current]) {
+
117  if (side[neighbour] == -1) {
+
118  side[neighbour] = (1 ^ side[current]);
+
119  q.push(neighbour);
+
120  } else {
+
121  check &= (side[neighbour] != side[current]);
+
122  }
+
123  }
+
124  }
+
125  }
+
126  }
+
127  return check;
+
128 }
@@ -244,10 +277,12 @@ Here is the call graph for this function: +
std::vector::resize
T resize(T... args)
std::queue
STL class.
std::vector::push_back
T push_back(T... args)
-
graph::is_graph_bipartite::Graph::adj
std::vector< std::vector< int > > adj
size of the graph
Definition: is_graph_bipartite.cpp:53
-
graph::is_graph_bipartite::Graph::side
std::vector< int > side
adj stores the graph as an adjacency list
Definition: is_graph_bipartite.cpp:55
+
graph::is_graph_bipartite::Graph::adj
std::vector< std::vector< int > > adj
adj stores the graph as an adjacency list
Definition: is_graph_bipartite.cpp:56
+
graph::is_graph_bipartite::Graph::side
std::vector< int > side
stores the side of the vertex
Definition: is_graph_bipartite.cpp:58
+
graph::is_graph_bipartite::Graph::n
int n
size of the graph
Definition: is_graph_bipartite.cpp:53
diff --git a/functions_n.html b/functions_n.html index e88ef6b3e..d517c1aa8 100644 --- a/functions_n.html +++ b/functions_n.html @@ -93,8 +93,8 @@ $(document).ready(function(){initNavTree('functions_n.html',''); initResizable()
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- n -

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- NvigenereFunctions for vigenère cipher algorithm - NXORFunctions for XOR cipher algorithm + Nn_queens_all_solutionsFunctions for Eight Queens puzzle with all solutions + Nneural_networkNeural Network or Multilayer Perceptron + Nqr_algorithmFunctions to compute QR decomposition of any rectangular matrix + Nquadratic_probingAn implementation of hash table using quadratic probing algorithm + Nrange_queriesAlgorithms and Data Structures that support range queries and updates + NsearchSearch algorithms + Nshortest_common_supersequenceShortest Common Super Sequence algorithm + NsortingSorting algorithms + Nspirograph + NstatisticsStatistical algorithms + NstdSTL namespace + Nstring_searchString search algorithms + Nutil_functionsVarious utility functions used in Neural network + NvigenereFunctions for vigenère cipher algorithm + NXORFunctions for XOR cipher algorithm diff --git a/namespaces_dup.js b/namespaces_dup.js index 80cc46801..b932b6020 100644 --- a/namespaces_dup.js +++ 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