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<p><a href="https://en.wikipedia.org/wiki/Depth-first_search" target="_blank">Depth First Search Algorithm (Depth First Search)</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Include dependency graph for depth_first_search.cpp:</div>
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Namespaces</h2></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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Functions</h2></td></tr>
<tr class="memitem:ad4016cfc80485a43748895a2c26c7d08"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#ad4016cfc80485a43748895a2c26c7d08">graph::addEdge</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; size_t &gt; &gt; *adj, size_t u, size_t v)</td></tr>
<tr class="memdesc:ad4016cfc80485a43748895a2c26c7d08"><td class="mdescLeft">&#160;</td><td class="mdescRight">Adds and edge between two vertices of graph say u and v in this case. <a href="../../df/dce/namespacegraph.html#ad4016cfc80485a43748895a2c26c7d08">More...</a><br /></td></tr>
<tr class="separator:ad4016cfc80485a43748895a2c26c7d08"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a64c1db5aad7502c6f08e4652f6edd463"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a64c1db5aad7502c6f08e4652f6edd463">graph::explore</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; size_t &gt; &gt; &amp;adj, size_t v, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; *visited)</td></tr>
<tr class="memdesc:a64c1db5aad7502c6f08e4652f6edd463"><td class="mdescLeft">&#160;</td><td class="mdescRight">Explores the given vertex, exploring a vertex means traversing over all the vertices which are connected to the vertex that is currently being explored. <a href="../../df/dce/namespacegraph.html#a64c1db5aad7502c6f08e4652f6edd463">More...</a><br /></td></tr>
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<tr class="memitem:ab5428a3519267a28bba4b4310cfbb6ae"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#ab5428a3519267a28bba4b4310cfbb6ae">graph::depth_first_search</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; size_t &gt; &gt; &amp;adj, size_t start)</td></tr>
<tr class="memdesc:ab5428a3519267a28bba4b4310cfbb6ae"><td class="mdescLeft">&#160;</td><td class="mdescRight">initiates depth first search algorithm. <a href="../../df/dce/namespacegraph.html#ab5428a3519267a28bba4b4310cfbb6ae">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="../../da/d8d/depth__first__search_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 ><a href="https://en.wikipedia.org/wiki/Depth-first_search" target="_blank">Depth First Search Algorithm (Depth First Search)</a> </p>
<dl class="section author"><dt>Author</dt><dd><a href="http://github.com/ayaankhan98" target="_blank">Ayaan Khan</a></dd></dl>
<p>Depth First Search also quoted as DFS is a <a class="el" href="../../da/d9a/class_graph.html">Graph</a> Traversal Algorithm. Time Complexity O(|V| + |E|) where V is number of vertices and E is number of edges in graph.</p>
<p >Application of Depth First Search are</p>
<ol type="1">
<li>Finding connected components</li>
<li>Finding 2-(edge or vertex)-connected components.</li>
<li>Finding 3-(edge or vertex)-connected components.</li>
<li>Finding the bridges of a graph.</li>
<li>Generating words in order to plot the limit set of a group.</li>
<li>Finding strongly connected components.</li>
</ol>
<p >And there are many more...</p>
<h4>Working</h4>
<ol type="1">
<li>Mark all vertices as unvisited first</li>
<li><p class="startli">start exploring from some starting vertex.</p>
<p class="startli">While exploring vertex we mark the vertex as visited and start exploring the vertices connected to this vertex in recursive way. </p>
</li>
</ol>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
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<p >Main function </p>
<p >creating graph</p>
<p >taking input for edges</p>
<p >running depth first search over graph</p>
<div class="fragment"><div class="line"><span class="lineno"> 109</span> {</div>
<div class="line"><span class="lineno"> 110</span> <span class="keywordtype">size_t</span> vertices = 0, edges = 0;</div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the Vertices : &quot;</span>;</div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; vertices;</div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the Edges : &quot;</span>;</div>
<div class="line"><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; edges;</div>
<div class="line"><span class="lineno"> 115</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 116</span><span class="comment"> /// creating graph</span></div>
<div class="line"><span class="lineno"> 117</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;size_t&gt;</a>&gt; adj(vertices, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;size_t&gt;</a>());</div>
<div class="line"><span class="lineno"> 118</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 119</span><span class="comment"> /// taking input for edges</span></div>
<div class="line"><span class="lineno"> 120</span><span class="comment"></span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Enter the vertices which have edges between them : &quot;</span></div>
<div class="line"><span class="lineno"> 121</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 122</span> <span class="keywordflow">while</span> (edges--) {</div>
<div class="line"><span class="lineno"> 123</span> <span class="keywordtype">size_t</span> u = 0, v = 0;</div>
<div class="line"><span class="lineno"> 124</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; u &gt;&gt; v;</div>
<div class="line"><span class="lineno"> 125</span> <a class="code hl_function" href="../../df/dce/namespacegraph.html#a9125ceb66bfbec3093bba64c2c1e99e2">graph::addEdge</a>(&amp;adj, u, v);</div>
<div class="line"><span class="lineno"> 126</span> }</div>
<div class="line"><span class="lineno"> 127</span><span class="comment"></span> </div>
<div class="line"><span class="lineno"> 128</span><span class="comment"> /// running depth first search over graph</span></div>
<div class="line"><span class="lineno"> 129</span><span class="comment"></span> <a class="code hl_function" href="../../df/dce/namespacegraph.html#ab5428a3519267a28bba4b4310cfbb6ae">graph::depth_first_search</a>(adj, 2);</div>
<div class="line"><span class="lineno"> 130</span> </div>
<div class="line"><span class="lineno"> 131</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 132</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 133</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="anamespacegraph_html_a9125ceb66bfbec3093bba64c2c1e99e2"><div class="ttname"><a href="../../df/dce/namespacegraph.html#a9125ceb66bfbec3093bba64c2c1e99e2">graph::addEdge</a></div><div class="ttdeci">void addEdge(std::vector&lt; std::vector&lt; int &gt; &gt; *adj, int u, int v)</div><div class="ttdoc">Function that add edge between two nodes or vertices of graph.</div><div class="ttdef"><b>Definition:</b> connected_components.cpp:46</div></div>
<div class="ttc" id="anamespacegraph_html_ab5428a3519267a28bba4b4310cfbb6ae"><div class="ttname"><a href="../../df/dce/namespacegraph.html#ab5428a3519267a28bba4b4310cfbb6ae">graph::depth_first_search</a></div><div class="ttdeci">void depth_first_search(const std::vector&lt; std::vector&lt; size_t &gt; &gt; &amp;adj, size_t start)</div><div class="ttdoc">initiates depth first search algorithm.</div><div class="ttdef"><b>Definition:</b> depth_first_search.cpp:99</div></div>
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