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<p>Algorithm to check whether a graph is <a href="https://en.wikipedia.org/wiki/Bipartite_graph">bipartite</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
<code>#include &lt;queue&gt;</code><br />
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Include dependency graph for is_graph_bipartite.cpp:</div>
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<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Class for representing graph as an adjacency list. <a href="../../de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html#details">More...</a><br /></td></tr>
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<tr class="memdesc:df/dce/namespacegraph"><td class="mdescLeft">&#160;</td><td class="mdescRight"><a class="el" href="../../dc/d61/classgraph_1_1_graph.html">Graph</a> algorithms. <br /></td></tr>
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<tr class="memdesc:de/d83/namespaceis__graph__bipartite"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for checking whether a graph is bipartite or not. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dd8/is__graph__bipartite_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">namespace graph <a href="../../d6/dd8/is__graph__bipartite_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/dd8/is__graph__bipartite_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Algorithm to check whether a graph is <a href="https://en.wikipedia.org/wiki/Bipartite_graph">bipartite</a> </p>
<p>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. <br />
</p>
<p>The given Algorithm will determine whether the given graph is bipartite or not</p>
<pre>
Example - Here is a graph g1 with 5 vertices and is bipartite</pre><pre> 1 4
/ \ / \
2 3 5</pre><pre>Example - Here is a graph G2 with 3 vertices and is not bipartite</pre><pre> 1 --- 2
\ /
3</pre><pre></pre><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AkVaya">Akshat Vaya</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function </p>
<p>Testing</p>
<div class="fragment"><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160; {</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160; <a class="code" href="../../d6/dd8/is__graph__bipartite_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">///Testing</span></div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;<span class="comment"></span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static void test </td>
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<p>namespace graph </p>
<p>Function to test the above algorithm </p><dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
<p>creating graph G1 with 5 vertices</p>
<p>adding edges to the graphs as per the illustrated example</p>
<p>creating graph G2 with 3 vertices</p>
<p>adding edges to the graphs as per the illustrated example</p>
<p>checking whether the graphs are bipartite or not</p>
<div class="fragment"><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160; {</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <a class="code" href="../../de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html">graph::is_graph_bipartite::Graph</a> G1(5); <span class="comment">/// creating graph G1 with 5 vertices</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160;<span class="comment"></span><span class="comment"> /// adding edges to the graphs as per the illustrated example</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;<span class="comment"></span> G1.addEdge(1,2);</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; G1.addEdge(1,3);</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>&#160; G1.addEdge(3,4);</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; G1.addEdge(4,5);</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>&#160; </div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160; <a class="code" href="../../de/d00/classgraph_1_1is__graph__bipartite_1_1_graph.html">graph::is_graph_bipartite::Graph</a> G2(3); <span class="comment">/// creating graph G2 with 3 vertices</span></div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160;<span class="comment"></span><span class="comment"> /// adding edges to the graphs as per the illustrated example</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160;<span class="comment"></span> G2.addEdge(1,2);</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; G2.addEdge(1,3);</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; G2.addEdge(2,3);</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160;<span class="comment"> /// checking whether the graphs are bipartite or not</span></div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160;<span class="comment"></span> <span class="keywordflow">if</span>(G1.is_bipartite()){</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;The given graph G1 is a bipartite graph\n&quot;</span>;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; } </div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;The given graph G1 is not a bipartite graph\n&quot;</span>;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; }</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; <span class="keywordflow">if</span>(G2.is_bipartite()){</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;The given graph G2 is a bipartite graph\n&quot;</span>;</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160; } </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keywordflow">else</span>{</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a>&lt;&lt;<span class="stringliteral">&quot;The given graph G2 is not a bipartite graph\n&quot;</span>;</div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>&#160; }</div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>&#160;}</div>
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