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@@ -91,7 +91,7 @@ $(document).ready(function(){initNavTree('df/ddd/connected__components_8cpp.html
<div class="header">
<div class="summary">
<a href="#nested-classes">Classes</a> &#124;
<a href="#namespaces">Namespaces</a> &#124;
<a href="#func-members">Functions</a> </div>
<div class="headertitle">
<div class="title">connected_components.cpp File Reference</div> </div>
@@ -101,22 +101,35 @@ $(document).ready(function(){initNavTree('df/ddd/connected__components_8cpp.html
<p><a href="https://en.wikipedia.org/wiki/Component_(graph_theory)">Graph Connected Components (Connected Components)</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for connected_components.cpp:</div>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d9b/classgraph.html">graph</a></td></tr>
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<tr class="memitem:df/dce/namespacegraph"><td class="memItemLeft" align="right" valign="top"> &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html">graph</a></td></tr>
<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:a372ff051a7bc6c91d34a7b58edf8dfce"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">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; int &gt;&gt; *adj, int u, int v)</td></tr>
<tr class="memdesc:a372ff051a7bc6c91d34a7b58edf8dfce"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function that add edge between two nodes or vertices of graph. <a href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">More...</a><br /></td></tr>
<tr class="separator:a372ff051a7bc6c91d34a7b58edf8dfce"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8e9885e0dd49fcf8262a9868124deac9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a8e9885e0dd49fcf8262a9868124deac9">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; int &gt;&gt; *adj, int u, <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:a8e9885e0dd49fcf8262a9868124deac9"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function for depth first seach algorithm this function explores the vertex which is passed into. <a href="../../df/dce/namespacegraph.html#a8e9885e0dd49fcf8262a9868124deac9">More...</a><br /></td></tr>
<tr class="separator:a8e9885e0dd49fcf8262a9868124deac9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9fc2ded2807582edf398e6d7c7114914"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dce/namespacegraph.html#a9fc2ded2807582edf398e6d7c7114914">graph::getConnectedComponents</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; int &gt;&gt; *adj)</td></tr>
<tr class="memdesc:a9fc2ded2807582edf398e6d7c7114914"><td class="mdescLeft">&#160;</td><td class="mdescRight">Function that perfoms depth first search algorithm on graph and calculated the number of connected components. <a href="../../df/dce/namespacegraph.html#a9fc2ded2807582edf398e6d7c7114914">More...</a><br /></td></tr>
<tr class="separator:a9fc2ded2807582edf398e6d7c7114914"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a> ()</td></tr>
<tr class="separator:a88ec9ad42717780d6caaff9d3d6977f9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/ddd/connected__components_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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@@ -125,9 +138,9 @@ Functions</h2></td></tr>
<dl class="section author"><dt>Author</dt><dd><a href="http://github.com/ayaankhan98">Ayaan Khan</a></dd></dl>
<p>A graph is a collection of nodes also called vertices and these vertices are connected by edges. A connected component in a graph refers to a set of vertices which are reachable form one another.</p>
<pre>
Example - Here is graph with 3 connected components</pre><pre> 3 9 6 8
Example - Here is graph with 3 connected components</pre><pre> 1 4 5 8
/ \ / / \ / \
2---4 2 7 3 7</pre><pre> first second third
2---3 6 7 9 10</pre><pre> first second third
component component component
</pre> </div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
@@ -145,25 +158,89 @@ Example - Here is graph with 3 connected components</pre><pre> 3 9
</table>
</div><div class="memdoc">
<p>Main function </p>
<p>creating a graph with 4 vertex</p>
<p>Adding edges between vertices</p>
<p>printing the connected components</p>
<div class="fragment"><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; {<span class="comment"></span></div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160;<span class="comment"> /// creating a graph with 4 vertex</span></div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160;<span class="comment"></span> <a class="code" href="../../df/dce/namespacegraph.html">graph</a> g(4);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160;<span class="comment"> /// Adding edges between vertices</span></div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160;<span class="comment"></span> g.addEdge(1, 2);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; g.addEdge(3, 2);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160;<span class="comment"></span> </div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160;<span class="comment"> /// printing the connected components</span></div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;<span class="comment"></span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; g.getConnectedComponents();</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160;}</div>
<p>running predefined tests</p>
<div class="fragment"><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160; {<span class="comment"></span></div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;<span class="comment"> /// running predefined tests</span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="comment"></span> <a class="code" href="../../df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a>();</div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; </div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keywordtype">int</span> vertices = int(), edges = int();</div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</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;Enter the number of vertices : &quot;</span>;</div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; vertices;</div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</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;Enter the number of edges : &quot;</span>;</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; edges;</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="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; adj(vertices, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>());</div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>&#160; </div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>&#160; <span class="keywordtype">int</span> u = int(), v = int();</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>&#160; <span class="keywordflow">while</span> (edges--) {</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>&#160; <a class="codeRef" 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"><a name="l00142"></a><span class="lineno"> 142</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj, u, v);</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>&#160; }</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>&#160; </div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>&#160; <span class="keywordtype">int</span> cc = <a class="code" href="../../df/dce/namespacegraph.html#a9fc2ded2807582edf398e6d7c7114914">graph::getConnectedComponents</a>(&amp;adj);</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; cc &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160;}</div>
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Here is the call graph for this function:</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a88ec9ad42717780d6caaff9d3d6977f9">&#9670;&nbsp;</a></span>tests()</h2>
<div class="memitem">
<div class="memproto">
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<tr>
<td class="memname">void tests </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Function to test the algorithm </p>
<div class="fragment"><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160; {</div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</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;Running predefined tests...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</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;Initiating Test 1...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; adj1(9, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>());</div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj1, 1, 2);</div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj1, 1, 3);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj1, 3, 4);</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj1, 5, 7);</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj1, 5, 6);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj1, 8, 9);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160; </div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; assert(<a class="code" href="../../df/dce/namespacegraph.html#a9fc2ded2807582edf398e6d7c7114914">graph::getConnectedComponents</a>(&amp;adj1) == 3);</div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</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;Test 1 Passed...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; </div>
<div class="line"><a name="l00107"></a><span class="lineno"> 107</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;Innitiating Test 2...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a>&gt; adj2(10, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>());</div>
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 1, 2);</div>
<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 1, 3);</div>
<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 1, 4);</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 2, 3);</div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 3, 4);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 4, 8);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 4, 10);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 8, 10);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 8, 9);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 5, 7);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 5, 6);</div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160; <a class="code" href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">graph::addEdge</a>(&amp;adj2, 6, 7);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>&#160; </div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; assert(<a class="code" href="../../df/dce/namespacegraph.html#a9fc2ded2807582edf398e6d7c7114914">graph::getConnectedComponents</a>(&amp;adj2) == 2);</div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</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;Test 2 Passed...&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;}</div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="anamespacegraph_html_a9fc2ded2807582edf398e6d7c7114914"><div class="ttname"><a href="../../df/dce/namespacegraph.html#a9fc2ded2807582edf398e6d7c7114914">graph::getConnectedComponents</a></div><div class="ttdeci">int getConnectedComponents(const std::vector&lt; std::vector&lt; int &gt;&gt; *adj)</div><div class="ttdoc">Function that perfoms depth first search algorithm on graph and calculated the number of connected co...</div><div class="ttdef"><b>Definition:</b> connected_components.cpp:77</div></div>
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<div class="ttc" id="anamespacegraph_html_a372ff051a7bc6c91d34a7b58edf8dfce"><div class="ttname"><a href="../../df/dce/namespacegraph.html#a372ff051a7bc6c91d34a7b58edf8dfce">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="aconnected__components_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../df/ddd/connected__components_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> connected_components.cpp:93</div></div>
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