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<title>Algorithms_in_C++: backtracking/graph_coloringg.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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</div>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -199,28 +199,28 @@ template<size_t V> </div>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> {</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// base case:</span></div>
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<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>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">if</span> (v == V) {</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> printSolution<V>(color);</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
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<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>
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<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 <= m; c++) {</div>
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<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>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">if</span> (isSafe<V>(v, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> color[v] = c;</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
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<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>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> graphColoring<V>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// If assigning color c doesn't lead to a solution then remove it</span></div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> color[v] = 0;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> }</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 83</span> {</div>
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<div class="line"><span class="lineno"> 84</span> <span class="comment">// base case:</span></div>
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<div class="line"><span class="lineno"> 85</span> <span class="comment">// If all vertices are assigned a color then return true</span></div>
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<div class="line"><span class="lineno"> 86</span> <span class="keywordflow">if</span> (v == V) {</div>
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<div class="line"><span class="lineno"> 87</span> printSolution<V>(color);</div>
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<div class="line"><span class="lineno"> 88</span> <span class="keywordflow">return</span>;</div>
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<div class="line"><span class="lineno"> 89</span> }</div>
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<div class="line"><span class="lineno"> 90</span> </div>
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<div class="line"><span class="lineno"> 91</span> <span class="comment">// Consider this vertex v and try different colors</span></div>
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<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> c = 1; c <= m; c++) {</div>
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<div class="line"><span class="lineno"> 93</span> <span class="comment">// Check if assignment of color c to v is fine</span></div>
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<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">if</span> (isSafe<V>(v, <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, color, c)) {</div>
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<div class="line"><span class="lineno"> 95</span> color[v] = c;</div>
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<div class="line"><span class="lineno"> 96</span> </div>
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<div class="line"><span class="lineno"> 97</span> <span class="comment">// recur to assign colors to rest of the vertices</span></div>
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<div class="line"><span class="lineno"> 98</span> graphColoring<V>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, v + 1);</div>
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<div class="line"><span class="lineno"> 99</span> </div>
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<div class="line"><span class="lineno"> 100</span> <span class="comment">// If assigning color c doesn't lead to a solution then remove it</span></div>
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<div class="line"><span class="lineno"> 101</span> color[v] = 0;</div>
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<div class="line"><span class="lineno"> 102</span> }</div>
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<div class="line"><span class="lineno"> 103</span> }</div>
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<div class="line"><span class="lineno"> 104</span>}</div>
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<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>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -290,14 +290,14 @@ template<size_t V> </div>
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<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the color is safe to be assigned to the node </dd>
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<dd>
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<code>false</code> if the color is not safe to be assigned to the node </dd></dl>
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<div class="fragment"><div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> {</div>
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<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 < V; i++) {</div>
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<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] && c == color[i]) {</div>
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<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>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> }</div>
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<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>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 63</span> {</div>
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<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < V; i++) {</div>
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<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] && c == color[i]) {</div>
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<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 67</span> }</div>
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<div class="line"><span class="lineno"> 68</span> }</div>
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<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><span class="lineno"> 70</span>}</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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@@ -328,25 +328,25 @@ Here is the call graph for this function:</div>
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<p>Driver Code </p>
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<dl class="section examples"><dt>Examples</dt><dd><a class="el" href="../../dc/dc4/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2numerical_methods_2rungekutta_8cpp-example.html#a7">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/numerical_methods/rungekutta.cpp</a>, and <a class="el" href="../../dd/db0/_2_users_2runner_2work_2_c-_plus-_plus_2_c-_plus-_plus_2sorting_2wiggle_sort_8cpp-example.html#a11">/Users/runner/work/C-Plus-Plus/C-Plus-Plus/sorting/wiggle_sort.cpp</a>.</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> {</div>
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<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>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="comment">// (3)---(2)</span></div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// | / |</span></div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="comment">// | / |</span></div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// | / |</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="comment">// (0)---(1)</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
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<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>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<std::array<int, V></a>, V> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({0, 1, 1, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({1, 0, 1, 0}),</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({1, 1, 0, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({1, 0, 1, 0})};</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
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<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>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a> color{};</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> backtracking::graph_coloring::graphColoring<V>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 112</span> {</div>
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<div class="line"><span class="lineno"> 113</span> <span class="comment">// Create following graph and test whether it is 3 colorable</span></div>
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<div class="line"><span class="lineno"> 114</span> <span class="comment">// (3)---(2)</span></div>
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<div class="line"><span class="lineno"> 115</span> <span class="comment">// | / |</span></div>
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<div class="line"><span class="lineno"> 116</span> <span class="comment">// | / |</span></div>
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<div class="line"><span class="lineno"> 117</span> <span class="comment">// | / |</span></div>
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<div class="line"><span class="lineno"> 118</span> <span class="comment">// (0)---(1)</span></div>
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<div class="line"><span class="lineno"> 119</span> </div>
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<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>
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<div class="line"><span class="lineno"> 121</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<std::array<int, V></a>, V> <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
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<div class="line"><span class="lineno"> 122</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({0, 1, 1, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({1, 0, 1, 0}),</div>
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<div class="line"><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({1, 1, 0, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a>({1, 0, 1, 0})};</div>
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<div class="line"><span class="lineno"> 124</span> </div>
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<div class="line"><span class="lineno"> 125</span> <span class="keywordtype">int</span> m = 3; <span class="comment">// Number of colors</span></div>
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<div class="line"><span class="lineno"> 126</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, V></a> color{};</div>
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<div class="line"><span class="lineno"> 127</span> </div>
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<div class="line"><span class="lineno"> 128</span> backtracking::graph_coloring::graphColoring<V>(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
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<div class="line"><span class="lineno"> 129</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 130</span>}</div>
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<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
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</div><!-- fragment -->
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</div>
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@@ -382,13 +382,13 @@ template<size_t V> </div>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Following are the assigned colors\n"</span>;</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>& col : color) {</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << col;</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> }</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 42</span> {</div>
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<div class="line"><span class="lineno"> 43</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Following are the assigned colors\n"</span>;</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span>& col : color) {</div>
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<div class="line"><span class="lineno"> 45</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << col;</div>
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<div class="line"><span class="lineno"> 46</span> }</div>
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<div class="line"><span class="lineno"> 47</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><span class="lineno"> 48</span>}</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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@@ -405,7 +405,7 @@ Here is the call graph for this function:</div>
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<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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||||
<ul>
|
||||
<li class="navelem"><a class="el" href="../../dir_c11585dfcef32a26e29098facab6c144.html">backtracking</a></li><li class="navelem"><a class="el" href="../../df/d80/graph__coloringg_8cpp.html">graph_coloringg.cpp</a></li>
|
||||
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.2 </li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.3 </li>
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</ul>
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</div>
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||||
</body>
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||||
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Reference in New Issue
Block a user