backup/C-Plus-Plus
1
0
Fork 0
mirror of https://github.com/TheAlgorithms/C-Plus-Plus.git synced 2026-04-29 21:14:35 +08:00
Code Issues Projects Releases Wiki Activity

Documentation for 4e3abd4601

Browse Source
This commit is contained in:
github-actions
2021-10-29 18:15:03 +00:00
parent a8572a8662
commit f9e919c5c5
119 changed files with 3435 additions and 2850 deletions
Download Patch File Download Diff File Expand all files Collapse all files

284
d3/d40/graph__coloring_8cpp.html
View File

@@ -112,21 +112,28 @@ Include dependency graph for graph_coloring.cpp:</div>
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
Namespaces</h2></td></tr>
<tr class="memitem:db/dc0/namespacebacktracking"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
<tr class="memdesc:db/dc0/namespacebacktracking"><td class="mdescLeft">&#160;</td><td class="mdescRight">Backtracking algorithms. <br /></td></tr>
<tr class="memdesc:db/dc0/namespacebacktracking"><td class="mdescLeft">&#160;</td><td class="mdescRight">for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d7/d08/namespacegraph__coloring"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d08/namespacegraph__coloring.html">graph_coloring</a></td></tr>
<tr class="memdesc:d7/d08/namespacegraph__coloring"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Graph_coloring" target="_blank">Graph Coloring</a> algorithm,. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a8cfb2d08840766ac4402196079308a36"><td class="memTemplParams" colspan="2">template&lt;size_t V&gt; </td></tr>
<tr class="memitem:a8cfb2d08840766ac4402196079308a36"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html#a8cfb2d08840766ac4402196079308a36">backtracking::printSolution</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; &amp;color)</td></tr>
<tr class="separator:a8cfb2d08840766ac4402196079308a36"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a5a6c3c2b065ea1c07adf2f638f8efc43"><td class="memTemplParams" colspan="2">template&lt;size_t V&gt; </td></tr>
<tr class="memitem:a5a6c3c2b065ea1c07adf2f638f8efc43"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html#a5a6c3c2b065ea1c07adf2f638f8efc43">backtracking::isSafe</a> (int v, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;, V &gt; &amp;graph, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; &amp;color, int c)</td></tr>
<tr class="separator:a5a6c3c2b065ea1c07adf2f638f8efc43"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a29360ddb1bad75caa61ec895b6e71986"><td class="memTemplParams" colspan="2">template&lt;size_t V&gt; </td></tr>
<tr class="memitem:a29360ddb1bad75caa61ec895b6e71986"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html#a29360ddb1bad75caa61ec895b6e71986">backtracking::graphColoring</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;, V &gt; &amp;graph, int m, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; color, int v)</td></tr>
<tr class="separator:a29360ddb1bad75caa61ec895b6e71986"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8c47fa37fb6eeeb781b2ec1b05af6b07"><td class="memTemplParams" colspan="2">template&lt;size_t V&gt; </td></tr>
<tr class="memitem:a8c47fa37fb6eeeb781b2ec1b05af6b07"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">backtracking::graph_coloring::printSolution</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; &amp;color)</td></tr>
<tr class="memdesc:a8c47fa37fb6eeeb781b2ec1b05af6b07"><td class="mdescLeft">&#160;</td><td class="mdescRight">A utility function to print the solution. <a href="../../d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07">More...</a><br /></td></tr>
<tr class="separator:a8c47fa37fb6eeeb781b2ec1b05af6b07"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a976efe049deb042bf1f02612e181ab1d"><td class="memTemplParams" colspan="2">template&lt;size_t V&gt; </td></tr>
<tr class="memitem:a976efe049deb042bf1f02612e181ab1d"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">backtracking::graph_coloring::isSafe</a> (int v, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;, V &gt; &amp;graph, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; &amp;color, int c)</td></tr>
<tr class="memdesc:a976efe049deb042bf1f02612e181ab1d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Utility function to check if the current color assignment is safe for vertex v. <a href="../../d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d">More...</a><br /></td></tr>
<tr class="separator:a976efe049deb042bf1f02612e181ab1d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a40337efc5dad761096489bf2c5b1c80c"><td class="memTemplParams" colspan="2">template&lt;size_t V&gt; </td></tr>
<tr class="memitem:a40337efc5dad761096489bf2c5b1c80c"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">backtracking::graph_coloring::graphColoring</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;, V &gt; &amp;graph, int m, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; color, int v)</td></tr>
<tr class="memdesc:a40337efc5dad761096489bf2c5b1c80c"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recursive utility function to solve m coloring problem. <a href="../../d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c">More...</a><br /></td></tr>
<tr class="separator:a40337efc5dad761096489bf2c5b1c80c"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:gae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d3/d40/graph__coloring_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:gae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d3/d40/graph__coloring_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:gae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
@@ -136,6 +143,170 @@ Functions</h2></td></tr>
<dd>
<a href="https://github.com/Panquesito7" target="_blank">David Leal</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a40337efc5dad761096489bf2c5b1c80c" name="a40337efc5dad761096489bf2c5b1c80c"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a40337efc5dad761096489bf2c5b1c80c">&#9670;&nbsp;</a></span>graphColoring()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;size_t V&gt; </div>
<table class="memname">
<tr>
<td class="memname">void backtracking::graph_coloring::graphColoring </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;, V &gt; &amp;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>m</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;&#160;</td>
<td class="paramname"><em>color</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>v</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Recursive utility function to solve m coloring problem. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">V</td><td>number of vertices in the graph </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramdir"></td><td class="paramname">graph</td><td>matrix of graph nonnectivity </td></tr>
<tr><td class="paramdir"></td><td class="paramname">m</td><td>number of colors </td></tr>
<tr><td class="paramdir">[in,out]</td><td class="paramname">color</td><td>description // used in,out to notify in documentation that this parameter gets modified by the function </td></tr>
<tr><td class="paramdir"></td><td class="paramname">v</td><td>index of graph vertex to check </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> {</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> printSolution&lt;V&gt;(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> (isSafe&lt;V&gt;(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> graphColoring&lt;V&gt;(<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="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 class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.svg" width="178" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
</div>
</div>
</div>
</div>
<a id="a976efe049deb042bf1f02612e181ab1d" name="a976efe049deb042bf1f02612e181ab1d"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a976efe049deb042bf1f02612e181ab1d">&#9670;&nbsp;</a></span>isSafe()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;size_t V&gt; </div>
<table class="memname">
<tr>
<td class="memname">bool backtracking::graph_coloring::isSafe </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>v</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt;, V &gt; &amp;&#160;</td>
<td class="paramname"><em>graph</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; &amp;&#160;</td>
<td class="paramname"><em>color</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>c</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Utility function to check if the current color assignment is safe for vertex v. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">V</td><td>number of vertices in the graph </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">v</td><td>index of graph vertex to check </td></tr>
<tr><td class="paramname">graph</td><td>matrix of graph nonnectivity </td></tr>
<tr><td class="paramname">color</td><td>vector of colors assigned to the graph nodes/vertices </td></tr>
<tr><td class="paramname">c</td><td>color value to check for the node <code>v</code> </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if the color is safe to be assigned to the node </dd>
<dd>
<code>false</code> if the color is not safe to be assigned to the node </dd></dl>
<div class="fragment"><div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> {</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><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.svg" width="150" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
</div>
</div>
</div>
</div>
<a id="gae66f6b31b5ad750f1fe042a706a4e3d4" name="gae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#gae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
@@ -151,32 +322,81 @@ Functions</h2></td></tr>
</tr>
</table>
</div><div class="memdoc">
<p >Main function</p>
<p >Driver Code </p>
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit</dd></dl>
<p>Driver Code </p>
<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#a6">/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>
</dl>
<div class="fragment"><div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> {</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Create following graph and test whether it is 3 colorable</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="comment">// (3)---(2)</span></div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="comment">// | / |</span></div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// (0)---(1)</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> </div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</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="l00109" name="l00109"></a><span class="lineno"> 109</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;std::array&lt;int, V&gt;</a>, V&gt; <a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a> = {</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({0, 1, 1, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({1, 0, 1, 0}),</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({1, 1, 0, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({1, 0, 1, 0})};</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordtype">int</span> m = 3; <span class="comment">// Number of colors</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a> color{};</div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> backtracking::graphColoring&lt;V&gt;(<a class="code hl_namespace" href="../../df/dce/namespacegraph.html">graph</a>, m, color, 0);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span>}</div>
<div class="fragment"><div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> {</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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;std::array&lt;int, V&gt;</a>, 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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({0, 1, 1, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({1, 0, 1, 0}),</div>
<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&lt;int, V&gt;</a>({1, 1, 0, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a>({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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;int, V&gt;</a> 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> backtracking::graph_coloring::graphColoring&lt;V&gt;(<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="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</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>
</div>
<a id="a8c47fa37fb6eeeb781b2ec1b05af6b07" name="a8c47fa37fb6eeeb781b2ec1b05af6b07"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8c47fa37fb6eeeb781b2ec1b05af6b07">&#9670;&nbsp;</a></span>printSolution()</h2>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;size_t V&gt; </div>
<table class="memname">
<tr>
<td class="memname">void backtracking::graph_coloring::printSolution </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, V &gt; &amp;&#160;</td>
<td class="paramname"><em>color</em></td><td>)</td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
<p>A utility function to print the solution. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">V</td><td>number of vertices in the graph </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">color</td><td>array of colors assigned to the nodes </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> {</div>
<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> &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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &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> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
<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>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
<div class="dyncontent">
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.svg" width="168" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
</div>
</div>
</div>
</div>
</div><!-- contents -->

6
d3/d40/graph__coloring_8cpp.js vendored
View File

@@ -1,7 +1,7 @@
var graph__coloring_8cpp =
[
[ "graphColoring", "d3/d40/graph__coloring_8cpp.html#a29360ddb1bad75caa61ec895b6e71986", null ],
[ "isSafe", "d3/d40/graph__coloring_8cpp.html#a5a6c3c2b065ea1c07adf2f638f8efc43", null ],
[ "graphColoring", "d3/d40/graph__coloring_8cpp.html#a40337efc5dad761096489bf2c5b1c80c", null ],
[ "isSafe", "d3/d40/graph__coloring_8cpp.html#a976efe049deb042bf1f02612e181ab1d", null ],
[ "main", "d3/d40/graph__coloring_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4", null ],
[ "printSolution", "d3/d40/graph__coloring_8cpp.html#a8cfb2d08840766ac4402196079308a36", null ]
[ "printSolution", "d3/d40/graph__coloring_8cpp.html#a8c47fa37fb6eeeb781b2ec1b05af6b07", null ]
];

3
d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.map Normal file
View File

@@ -0,0 +1,3 @@
<map id="backtracking::graph_coloring::graphColoring" name="backtracking::graph_coloring::graphColoring">
<area shape="rect" id="node1" title="Recursive utility function to solve m coloring problem." alt="" coords="5,29,172,71"/>
</map>

1
d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.md5 Normal file
View File

@@ -0,0 +1 @@
9dccd97635ab6e07ca97f30c6a179215

29
d3/d40/graph__coloring_8cpp_a40337efc5dad761096489bf2c5b1c80c_cgraph.svg Normal file
View File

@@ -0,0 +1,29 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.49.2 (20211016.1639)
-->
<!-- Title: backtracking::graph_coloring::graphColoring Pages: 1 -->
<svg width="133pt" height="57pt"
viewBox="0.00 0.00 133.00 57.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 53)">
<title>backtracking::graph_coloring::graphColoring</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-53 129,-53 129,4 -4,4"/>
<!-- Node1 -->
<g id="node1" class="node">
<title>Node1</title>
<g id="a_node1"><a xlink:title="Recursive utility function to solve m coloring problem.">
<polygon fill="#bfbfbf" stroke="black" points="0,-0.5 0,-30.5 125,-30.5 125,-0.5 0,-0.5"/>
<text text-anchor="start" x="8" y="-18.5" font-family="Helvetica,sans-Serif" font-size="10.00">backtracking::graph</text>
<text text-anchor="middle" x="62.5" y="-7.5" font-family="Helvetica,sans-Serif" font-size="10.00">_coloring::graphColoring</text>
</a>
</g>
</g>
<!-- Node1&#45;&gt;Node1 -->
<g id="edge1" class="edge">
<title>Node1&#45;&gt;Node1</title>
<path fill="none" stroke="midnightblue" d="M40.89,-30.66C35.68,-40.06 42.88,-49 62.5,-49 74.45,-49 81.8,-45.68 84.53,-40.96"/>
<polygon fill="midnightblue" stroke="midnightblue" points="88.02,-40.51 84.11,-30.66 81.02,-40.79 88.02,-40.51"/>
</g>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 1.5 KiB

3
d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.map Normal file
View File

@@ -0,0 +1,3 @@
<map id="backtracking::graph_coloring::printSolution" name="backtracking::graph_coloring::printSolution">
<area shape="rect" id="node1" title="A utility function to print the solution." alt="" coords="5,29,163,71"/>
</map>

1
d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.md5 Normal file
View File

@@ -0,0 +1 @@
bdf49531d2c787f88b14290f7de87439

29
d3/d40/graph__coloring_8cpp_a8c47fa37fb6eeeb781b2ec1b05af6b07_cgraph.svg Normal file
View File

@@ -0,0 +1,29 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.49.2 (20211016.1639)
-->
<!-- Title: backtracking::graph_coloring::printSolution Pages: 1 -->
<svg width="126pt" height="57pt"
viewBox="0.00 0.00 126.00 57.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 53)">
<title>backtracking::graph_coloring::printSolution</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-53 122,-53 122,4 -4,4"/>
<!-- Node1 -->
<g id="node1" class="node">
<title>Node1</title>
<g id="a_node1"><a xlink:title="A utility function to print the solution.">
<polygon fill="#bfbfbf" stroke="black" points="0,-0.5 0,-30.5 118,-30.5 118,-0.5 0,-0.5"/>
<text text-anchor="start" x="8" y="-18.5" font-family="Helvetica,sans-Serif" font-size="10.00">backtracking::graph</text>
<text text-anchor="middle" x="59" y="-7.5" font-family="Helvetica,sans-Serif" font-size="10.00">_coloring::printSolution</text>
</a>
</g>
</g>
<!-- Node1&#45;&gt;Node1 -->
<g id="edge1" class="edge">
<title>Node1&#45;&gt;Node1</title>
<path fill="none" stroke="midnightblue" d="M38.44,-30.66C33.48,-40.06 40.33,-49 59,-49 70.38,-49 77.36,-45.68 79.97,-40.96"/>
<polygon fill="midnightblue" stroke="midnightblue" points="83.45,-40.51 79.56,-30.66 76.46,-40.79 83.45,-40.51"/>
</g>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 1.5 KiB

3
d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.map Normal file
View File

@@ -0,0 +1,3 @@
<map id="backtracking::graph_coloring::isSafe" name="backtracking::graph_coloring::isSafe">
<area shape="rect" id="node1" title="Utility function to check if the current color assignment is safe for vertex v." alt="" coords="5,29,144,71"/>
</map>

1
d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.md5 Normal file
View File

@@ -0,0 +1 @@
3ee00c8129f2726d0272babc0a9175d4

29
d3/d40/graph__coloring_8cpp_a976efe049deb042bf1f02612e181ab1d_cgraph.svg Normal file
View File

@@ -0,0 +1,29 @@
<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN"
"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd">
<!-- Generated by graphviz version 2.49.2 (20211016.1639)
-->
<!-- Title: backtracking::graph_coloring::isSafe Pages: 1 -->
<svg width="112pt" height="57pt"
viewBox="0.00 0.00 112.00 57.00" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g id="graph0" class="graph" transform="scale(1 1) rotate(0) translate(4 53)">
<title>backtracking::graph_coloring::isSafe</title>
<polygon fill="white" stroke="transparent" points="-4,4 -4,-53 108,-53 108,4 -4,4"/>
<!-- Node1 -->
<g id="node1" class="node">
<title>Node1</title>
<g id="a_node1"><a xlink:title="Utility function to check if the current color assignment is safe for vertex v.">
<polygon fill="#bfbfbf" stroke="black" points="0,-0.5 0,-30.5 104,-30.5 104,-0.5 0,-0.5"/>
<text text-anchor="start" x="8" y="-18.5" font-family="Helvetica,sans-Serif" font-size="10.00">backtracking::graph</text>
<text text-anchor="middle" x="52" y="-7.5" font-family="Helvetica,sans-Serif" font-size="10.00">_coloring::isSafe</text>
</a>
</g>
</g>
<!-- Node1&#45;&gt;Node1 -->
<g id="edge1" class="edge">
<title>Node1&#45;&gt;Node1</title>
<path fill="none" stroke="midnightblue" d="M33.88,-30.66C29.51,-40.06 35.55,-49 52,-49 62.03,-49 68.19,-45.68 70.48,-40.96"/>
<polygon fill="midnightblue" stroke="midnightblue" points="73.97,-40.53 70.12,-30.66 66.97,-40.77 73.97,-40.53"/>
</g>
</g>
</svg>
Side by Side

After

Width:  |  Height:  |  Size: 1.5 KiB