Documentation for 93a700c7e9

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realstealthninja
2025-05-25 14:24:42 +00:00
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commit e7edde96ab
32 changed files with 1083 additions and 1246 deletions

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@@ -132,11 +132,10 @@ $(function(){initNavTree('d3/d40/graph__coloring_8cpp.html','../../'); initResiz
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;array&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 graph_coloring.cpp:</div>
<div class="dyncontent">
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<p><a href="../../d3/d40/graph__coloring_8cpp_source.html">Go to the source code of this file.</a></p>
@@ -225,30 +224,30 @@ template&lt;size_t V&gt; </div>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00082">82</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 83</span> {</div>
<div class="line"><span class="lineno"> 84</span> <span class="comment">// base case:</span></div>
<div class="line"><span class="lineno"> 85</span> <span class="comment">// If all vertices are assigned a color then return true</span></div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordflow">if</span> (v == V) {</div>
<div class="line"><span class="lineno"> 87</span> <a class="code hl_function" href="#a8c47fa37fb6eeeb781b2ec1b05af6b07">printSolution&lt;V&gt;</a>(color);</div>
<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 89</span> }</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="comment">// Consider this vertex v and try different colors</span></div>
<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> c = 1; c &lt;= m; c++) {</div>
<div class="line"><span class="lineno"> 93</span> <span class="comment">// Check if assignment of color c to v is fine</span></div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">if</span> (isSafe&lt;V&gt;(v, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
<div class="line"><span class="lineno"> 95</span> color[v] = c;</div>
<div class="line"><span class="lineno"> 96</span> </div>
<div class="line"><span class="lineno"> 97</span> <span class="comment">// recur to assign colors to rest of the vertices</span></div>
<div class="line"><span class="lineno"> 98</span> graphColoring&lt;V&gt;(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
<div class="line"><span class="lineno"> 99</span> </div>
<div class="line"><span class="lineno"> 100</span> <span class="comment">// If assigning color c doesn&#39;t lead to a solution then remove it</span></div>
<div class="line"><span class="lineno"> 101</span> color[v] = 0;</div>
<div class="line"><span class="lineno"> 102</span> }</div>
<div class="line"><span class="lineno"> 103</span> }</div>
<div class="line"><span class="lineno"> 104</span>}</div>
<div class="ttc" id="agraph__coloring_8cpp_html_a8c47fa37fb6eeeb781b2ec1b05af6b07"><div class="ttname"><a href="#a8c47fa37fb6eeeb781b2ec1b05af6b07">backtracking::graph_coloring::printSolution</a></div><div class="ttdeci">void printSolution(const std::array&lt; int, V &gt; &amp;color)</div><div class="ttdoc">A utility function to print the solution.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/d40/graph__coloring_8cpp_source.html#l00042">graph_coloring.cpp:42</a></div></div>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00081">81</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 82</span> {</div>
<div class="line"><span class="lineno"> 83</span> <span class="comment">// base case:</span></div>
<div class="line"><span class="lineno"> 84</span> <span class="comment">// If all vertices are assigned a color then return true</span></div>
<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">if</span> (v == V) {</div>
<div class="line"><span class="lineno"> 86</span> <a class="code hl_function" href="#a8c47fa37fb6eeeb781b2ec1b05af6b07">printSolution&lt;V&gt;</a>(color);</div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 88</span> }</div>
<div class="line"><span class="lineno"> 89</span> </div>
<div class="line"><span class="lineno"> 90</span> <span class="comment">// Consider this vertex v and try different colors</span></div>
<div class="line"><span class="lineno"> 91</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> c = 1; c &lt;= m; c++) {</div>
<div class="line"><span class="lineno"> 92</span> <span class="comment">// Check if assignment of color c to v is fine</span></div>
<div class="line"><span class="lineno"> 93</span> <span class="keywordflow">if</span> (isSafe&lt;V&gt;(v, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
<div class="line"><span class="lineno"> 94</span> color[v] = c;</div>
<div class="line"><span class="lineno"> 95</span> </div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// recur to assign colors to rest of the vertices</span></div>
<div class="line"><span class="lineno"> 97</span> graphColoring&lt;V&gt;(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
<div class="line"><span class="lineno"> 98</span> </div>
<div class="line"><span class="lineno"> 99</span> <span class="comment">// If assigning color c doesn&#39;t lead to a solution then remove it</span></div>
<div class="line"><span class="lineno"> 100</span> color[v] = 0;</div>
<div class="line"><span class="lineno"> 101</span> }</div>
<div class="line"><span class="lineno"> 102</span> }</div>
<div class="line"><span class="lineno"> 103</span>}</div>
<div class="ttc" id="agraph__coloring_8cpp_html_a8c47fa37fb6eeeb781b2ec1b05af6b07"><div class="ttname"><a href="#a8c47fa37fb6eeeb781b2ec1b05af6b07">backtracking::graph_coloring::printSolution</a></div><div class="ttdeci">void printSolution(const std::array&lt; int, V &gt; &amp;color)</div><div class="ttdoc">A utility function to print the solution.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/d40/graph__coloring_8cpp_source.html#l00041">graph_coloring.cpp:41</a></div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
</div><!-- fragment -->
</div>
@@ -304,15 +303,15 @@ template&lt;size_t V&gt; </div>
<dd>
<code>false</code> if the color is not safe to be assigned to the node </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00062">62</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 63</span> {</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[v][i] &amp;&amp; c == color[i]) {</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> }</div>
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 70</span>}</div>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00061">61</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 62</span> {</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">if</span> (<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[v][i] &amp;&amp; c == color[i]) {</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 66</span> }</div>
<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 69</span>}</div>
</div><!-- fragment -->
</div>
</div>
@@ -334,27 +333,27 @@ template&lt;size_t V&gt; </div>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00112">112</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 112</span> {</div>
<div class="line"><span class="lineno"> 113</span> <span class="comment">// Create following graph and test whether it is 3 colorable</span></div>
<div class="line"><span class="lineno"> 114</span> <span class="comment">// (3)---(2)</span></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">// | / |</span></div>
<div class="line"><span class="lineno"> 117</span> <span class="comment">// | / |</span></div>
<div class="line"><span class="lineno"> 118</span> <span class="comment">// (0)---(1)</span></div>
<div class="line"><span class="lineno"> 119</span> </div>
<div class="line"><span class="lineno"> 120</span> <span class="keyword">const</span> <span class="keywordtype">int</span> V = 4; <span class="comment">// number of vertices in the graph</span></div>
<div class="line"><span class="lineno"> 121</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
<div class="line"><span class="lineno"> 122</span> std::array&lt;int, V&gt;({0, 1, 1, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0}),</div>
<div class="line"><span class="lineno"> 123</span> std::array&lt;int, V&gt;({1, 1, 0, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0})};</div>
<div class="line"><span class="lineno"> 124</span> </div>
<div class="line"><span class="lineno"> 125</span> <span class="keywordtype">int</span> m = 3; <span class="comment">// Number of colors</span></div>
<div class="line"><span class="lineno"> 126</span> std::array&lt;int, V&gt; color{};</div>
<div class="line"><span class="lineno"> 127</span> </div>
<div class="line"><span class="lineno"> 128</span> <a class="code hl_function" href="#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring&lt;V&gt;</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
<div class="line"><span class="lineno"> 129</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 130</span>}</div>
<div class="ttc" id="agraph__coloring_8cpp_html_a40337efc5dad761096489bf2c5b1c80c"><div class="ttname"><a href="#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring</a></div><div class="ttdeci">void graphColoring(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;graph, int m, std::array&lt; int, V &gt; color, int v)</div><div class="ttdoc">Recursive utility function to solve m coloring problem.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/d40/graph__coloring_8cpp_source.html#l00082">graph_coloring.cpp:82</a></div></div>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00111">111</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 111</span> {</div>
<div class="line"><span class="lineno"> 112</span> <span class="comment">// Create following graph and test whether it is 3 colorable</span></div>
<div class="line"><span class="lineno"> 113</span> <span class="comment">// (3)---(2)</span></div>
<div class="line"><span class="lineno"> 114</span> <span class="comment">// | / |</span></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">// | / |</span></div>
<div class="line"><span class="lineno"> 117</span> <span class="comment">// (0)---(1)</span></div>
<div class="line"><span class="lineno"> 118</span> </div>
<div class="line"><span class="lineno"> 119</span> <span class="keyword">const</span> <span class="keywordtype">int</span> V = 4; <span class="comment">// number of vertices in the graph</span></div>
<div class="line"><span class="lineno"> 120</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
<div class="line"><span class="lineno"> 121</span> std::array&lt;int, V&gt;({0, 1, 1, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0}),</div>
<div class="line"><span class="lineno"> 122</span> std::array&lt;int, V&gt;({1, 1, 0, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0})};</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordtype">int</span> m = 3; <span class="comment">// Number of colors</span></div>
<div class="line"><span class="lineno"> 125</span> std::array&lt;int, V&gt; color{};</div>
<div class="line"><span class="lineno"> 126</span> </div>
<div class="line"><span class="lineno"> 127</span> <a class="code hl_function" href="#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring&lt;V&gt;</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
<div class="line"><span class="lineno"> 128</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 129</span>}</div>
<div class="ttc" id="agraph__coloring_8cpp_html_a40337efc5dad761096489bf2c5b1c80c"><div class="ttname"><a href="#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring</a></div><div class="ttdeci">void graphColoring(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;graph, int m, std::array&lt; int, V &gt; color, int v)</div><div class="ttdoc">Recursive utility function to solve m coloring problem.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/d40/graph__coloring_8cpp_source.html#l00081">graph_coloring.cpp:81</a></div></div>
</div><!-- fragment -->
</div>
</div>
@@ -389,14 +388,14 @@ template&lt;size_t V&gt; </div>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00042">42</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
<div class="line"><span class="lineno"> 43</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Following are the assigned colors\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; col : color) {</div>
<div class="line"><span class="lineno"> 45</span> std::cout &lt;&lt; col;</div>
<div class="line"><span class="lineno"> 46</span> }</div>
<div class="line"><span class="lineno"> 47</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 48</span>}</div>
<p class="definition">Definition at line <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html#l00041">41</a> of file <a class="el" href="../../d3/d40/graph__coloring_8cpp_source.html">graph_coloring.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 41</span> {</div>
<div class="line"><span class="lineno"> 42</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Following are the assigned colors\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; col : color) {</div>
<div class="line"><span class="lineno"> 44</span> std::cout &lt;&lt; col;</div>
<div class="line"><span class="lineno"> 45</span> }</div>
<div class="line"><span class="lineno"> 46</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 47</span>}</div>
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@@ -128,88 +128,87 @@ $(function(){initNavTree('d3/d40/graph__coloring_8cpp_source.html','../../'); in
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include &lt;array&gt;</span> </div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include &lt;vector&gt;</span> </div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span></div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d08/namespacegraph__coloring.html">graph_coloring</a> {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00042" data-start="{" data-end="}">
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07"> 42</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">printSolution</a>(<span class="keyword">const</span> std::array&lt;int, V&gt;&amp; color) {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Following are the assigned colors\n&quot;</span>;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; col : color) {</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> std::cout &lt;&lt; col;</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span></div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d08/namespacegraph__coloring.html">graph_coloring</a> {</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00041" data-start="{" data-end="}">
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07"> 41</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">printSolution</a>(<span class="keyword">const</span> std::array&lt;int, V&gt;&amp; color) {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Following are the assigned colors\n&quot;</span>;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>&amp; col : color) {</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> std::cout &lt;&lt; col;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span></div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d"> 62</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">isSafe</a>(<span class="keywordtype">int</span> v, <span class="keyword">const</span> std::array&lt;std::array&lt;int, V&gt;, V&gt;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>,</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keyword">const</span> std::array&lt;int, V&gt;&amp; color, <span class="keywordtype">int</span> c) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">if</span> (<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[v][i] &amp;&amp; c == color[i]) {</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> }</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>}</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span></div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00061" data-start="{" data-end="}">
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d"> 61</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">isSafe</a>(<span class="keywordtype">int</span> v, <span class="keyword">const</span> std::array&lt;std::array&lt;int, V&gt;, V&gt;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>,</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keyword">const</span> std::array&lt;int, V&gt;&amp; color, <span class="keywordtype">int</span> c) {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; V; i++) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">if</span> (<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>[v][i] &amp;&amp; c == color[i]) {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> }</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span>}</div>
</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span></div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00082" data-start="{" data-end="}">
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c"> 82</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">graphColoring</a>(<span class="keyword">const</span> std::array&lt;std::array&lt;int, V&gt;, V&gt;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, <span class="keywordtype">int</span> m,</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> std::array&lt;int, V&gt; color, <span class="keywordtype">int</span> v) {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// base case:</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="comment">// If all vertices are assigned a color then return true</span></div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">if</span> (v == V) {</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">printSolution&lt;V&gt;</a>(color);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// Consider this vertex v and try different colors</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> c = 1; c &lt;= m; c++) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="comment">// Check if assignment of color c to v is fine</span></div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">isSafe&lt;V&gt;</a>(v, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> color[v] = c;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// recur to assign colors to rest of the vertices</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">graphColoring&lt;V&gt;</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// If assigning color c doesn&#39;t lead to a solution then remove it</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> color[v] = 0;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00081" data-start="{" data-end="}">
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c"> 81</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">graphColoring</a>(<span class="keyword">const</span> std::array&lt;std::array&lt;int, V&gt;, V&gt;&amp; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, <span class="keywordtype">int</span> m,</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> std::array&lt;int, V&gt; color, <span class="keywordtype">int</span> v) {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// base case:</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// If all vertices are assigned a color then return true</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> (v == V) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">printSolution&lt;V&gt;</a>(color);</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> </div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// Consider this vertex v and try different colors</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> c = 1; c &lt;= m; c++) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// Check if assignment of color c to v is fine</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">isSafe&lt;V&gt;</a>(v, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> color[v] = c;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="comment">// recur to assign colors to rest of the vertices</span></div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">graphColoring&lt;V&gt;</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="comment">// If assigning color c doesn&#39;t lead to a solution then remove it</span></div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> color[v] = 0;</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> }</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span>}</div>
</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>} <span class="comment">// namespace graph_coloring</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span>} <span class="comment">// namespace backtracking</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span></div>
<div class="foldopen" id="foldopen00112" data-start="{" data-end="}">
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 112</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// Create following graph and test whether it is 3 colorable</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// (3)---(2)</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// (0)---(1)</span></div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keyword">const</span> <span class="keywordtype">int</span> V = 4; <span class="comment">// number of vertices in the graph</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::array&lt;int, V&gt;({0, 1, 1, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0}),</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::array&lt;int, V&gt;({1, 1, 0, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0})};</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordtype">int</span> m = 3; <span class="comment">// Number of colors</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> std::array&lt;int, V&gt; color{};</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring&lt;V&gt;</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>}</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>} <span class="comment">// namespace graph_coloring</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span>} <span class="comment">// namespace backtracking</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span></div>
<div class="foldopen" id="foldopen00111" data-start="{" data-end="}">
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="../../d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 111</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="comment">// Create following graph and test whether it is 3 colorable</span></div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="comment">// (3)---(2)</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// (0)---(1)</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keyword">const</span> <span class="keywordtype">int</span> V = 4; <span class="comment">// number of vertices in the graph</span></div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::array&lt;int, V&gt;({0, 1, 1, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0}),</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::array&lt;int, V&gt;({1, 1, 0, 1}), std::array&lt;int, V&gt;({1, 0, 1, 0})};</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> </div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordtype">int</span> m = 3; <span class="comment">// Number of colors</span></div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> std::array&lt;int, V&gt; color{};</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_function" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring&lt;V&gt;</a>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span>}</div>
</div>
<div class="ttc" id="agraph__coloring_8cpp_html_a40337efc5dad761096489bf2c5b1c80c"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring</a></div><div class="ttdeci">void graphColoring(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;graph, int m, std::array&lt; int, V &gt; color, int v)</div><div class="ttdoc">Recursive utility function to solve m coloring problem.</div><div class="ttdef"><b>Definition</b> <a href="#l00082">graph_coloring.cpp:82</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_a8c47fa37fb6eeeb781b2ec1b05af6b07"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">backtracking::graph_coloring::printSolution</a></div><div class="ttdeci">void printSolution(const std::array&lt; int, V &gt; &amp;color)</div><div class="ttdoc">A utility function to print the solution.</div><div class="ttdef"><b>Definition</b> <a href="#l00042">graph_coloring.cpp:42</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_a976efe049deb042bf1f02612e181ab1d"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">backtracking::graph_coloring::isSafe</a></div><div class="ttdeci">bool isSafe(int v, const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;graph, const std::array&lt; int, V &gt; &amp;color, int c)</div><div class="ttdoc">Utility function to check if the current color assignment is safe for vertex v.</div><div class="ttdef"><b>Definition</b> <a href="#l00062">graph_coloring.cpp:62</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00112">graph_coloring.cpp:112</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_a40337efc5dad761096489bf2c5b1c80c"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring</a></div><div class="ttdeci">void graphColoring(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;graph, int m, std::array&lt; int, V &gt; color, int v)</div><div class="ttdoc">Recursive utility function to solve m coloring problem.</div><div class="ttdef"><b>Definition</b> <a href="#l00081">graph_coloring.cpp:81</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_a8c47fa37fb6eeeb781b2ec1b05af6b07"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">backtracking::graph_coloring::printSolution</a></div><div class="ttdeci">void printSolution(const std::array&lt; int, V &gt; &amp;color)</div><div class="ttdoc">A utility function to print the solution.</div><div class="ttdef"><b>Definition</b> <a href="#l00041">graph_coloring.cpp:41</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_a976efe049deb042bf1f02612e181ab1d"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">backtracking::graph_coloring::isSafe</a></div><div class="ttdeci">bool isSafe(int v, const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;graph, const std::array&lt; int, V &gt; &amp;color, int c)</div><div class="ttdoc">Utility function to check if the current color assignment is safe for vertex v.</div><div class="ttdef"><b>Definition</b> <a href="#l00061">graph_coloring.cpp:61</a></div></div>
<div class="ttc" id="agraph__coloring_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d40/graph__coloring_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00111">graph_coloring.cpp:111</a></div></div>
<div class="ttc" id="anamespacebacktracking_html"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html">backtracking</a></div><div class="ttdoc">for vector container</div></div>
<div class="ttc" id="anamespacegraph__coloring_html"><div class="ttname"><a href="../../d7/d08/namespacegraph__coloring.html">graph_coloring</a></div><div class="ttdoc">Functions for the Graph Coloring algorithm,.</div></div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>