is_graph_bipartite.cpp File Reference

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

#include <iostream>
#include <vector>
#include <queue>

Include dependency graph for is_graph_bipartite.cpp:

Classes
class	graph::is_graph_bipartite::Graph
	Class for representing graph as an adjacency list. More...

Namespaces
	graph
	Graph algorithms.
	is_graph_bipartite
	Functions for checking whether a graph is bipartite or not.

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

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

Function Documentation

main()

int main

(

)

Main function

Testing

          {
    test();  ///Testing
    return 0;
}

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test()

static void test ( )

static

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

                  {
    graph::is_graph_bipartite::Graph G1(5); /// creating graph G1 with 5 vertices
    /// adding edges to the graphs as per the illustrated example
    G1.addEdge(1,2);
    G1.addEdge(1,3);
    G1.addEdge(3,4);
    G1.addEdge(4,5);
 
    graph::is_graph_bipartite::Graph G2(3); /// creating graph G2 with 3 vertices
    /// adding edges to the graphs as per the illustrated example
    G2.addEdge(1,2);
    G2.addEdge(1,3);
    G2.addEdge(2,3);
 
    /// checking whether the graphs are bipartite or not
    if(G1.is_bipartite()){
        std::cout<<"The given graph G1 is a bipartite graph\n";
    } 
    else{
        std::cout<<"The given graph G1 is not a bipartite graph\n";
    }
    if(G2.is_bipartite()){
        std::cout<<"The given graph G2 is a bipartite graph\n";
    } 
    else{
        std::cout<<"The given graph G2 is not a bipartite graph\n";
    }
}

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