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<div class="subTitle">org.jgrapht.alg</div>
<h2 title="Class KuhnMunkresMinimalWeightBipartitePerfectMatching" class="title">Class KuhnMunkresMinimalWeightBipartitePerfectMatching<V,E></h2>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../org/jgrapht/alg/interfaces/MatchingAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">MatchingAlgorithm</a><V,E>, <a href="../../../org/jgrapht/alg/interfaces/WeightedMatchingAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">WeightedMatchingAlgorithm</a><V,E></dd>
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<pre>public class <span class="strong">KuhnMunkresMinimalWeightBipartitePerfectMatching<V,E></span>
extends <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>
implements <a href="../../../org/jgrapht/alg/interfaces/WeightedMatchingAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">WeightedMatchingAlgorithm</a><V,E></pre>
<div class="block">Kuhn-Munkres algorithm (named in honor of Harold Kuhn and James Munkres)
solving <i>assignment problem</i> also known as <a
href=http://en.wikipedia.org/wiki/Hungarian_algorithm>hungarian algorithm</a>
(in the honor of hungarian mathematicians Dénes K?nig and Jen? Egerváry).
It's running time O(V^3).
<p><i>Assignment problem</i> could be set as follows:
<p>Given <a href=http://en.wikipedia.org/wiki/Complete_bipartite_graph>
complete bipartite graph</a> G = (S, T; E), such that |S| = |T|, and each
edge has <i>non-negative</i> cost <i>c(i, j)</i>, find <i>perfect</i>
matching of <i>minimal cost</i>.</p></div>
<dl><dt><span class="strong">Author:</span></dt>
<dd>Alexey Kudinkin</dd></dl>
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<td class="colFirst"><code>protected static class </code></td>
<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation.html" title="class in org.jgrapht.alg">KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation">V</a>,<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching.KuhnMunkresMatrixImplementation">E</a>></strong></code>
<div class="block">...</div>
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<td class="colOne"><code><strong><a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html#KuhnMunkresMinimalWeightBipartitePerfectMatching(org.jgrapht.WeightedGraph,%20java.util.List,%20java.util.List)">KuhnMunkresMinimalWeightBipartitePerfectMatching</a></strong>(<a href="../../../org/jgrapht/WeightedGraph.html" title="interface in org.jgrapht">WeightedGraph</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>,<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">E</a>> G,
<a href="http://docs.oracle.com/javase/7/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><? extends <a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>> S,
<a href="http://docs.oracle.com/javase/7/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><? extends <a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>> T)</code> </td>
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<td class="colFirst"><code><a href="http://docs.oracle.com/javase/7/docs/api/java/util/Set.html?is-external=true" title="class or interface in java.util">Set</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">E</a>></code></td>
<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html#getMatching()">getMatching</a></strong>()</code>
<div class="block">Returns set of edges making up the matching</div>
</td>
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<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><strong><a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html#getMatchingWeight()">getMatchingWeight</a></strong>()</code>
<div class="block">Returns weight of a matching found</div>
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<h4>KuhnMunkresMinimalWeightBipartitePerfectMatching</h4>
<pre>public KuhnMunkresMinimalWeightBipartitePerfectMatching(<a href="../../../org/jgrapht/WeightedGraph.html" title="interface in org.jgrapht">WeightedGraph</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>,<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">E</a>> G,
<a href="http://docs.oracle.com/javase/7/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><? extends <a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>> S,
<a href="http://docs.oracle.com/javase/7/docs/api/java/util/List.html?is-external=true" title="class or interface in java.util">List</a><? extends <a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>> T)</pre>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>G</code> - target weighted bipartite graph to find matching in</dd><dd><code>S</code> - first vertex partition of the target bipartite graph</dd><dd><code>T</code> - second vertex partition of the target bipartite graph</dd></dl>
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<h4>getMatching</h4>
<pre>public <a href="http://docs.oracle.com/javase/7/docs/api/java/util/Set.html?is-external=true" title="class or interface in java.util">Set</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">E</a>> getMatching()</pre>
<div class="block"><strong>Description copied from interface: <code><a href="../../../org/jgrapht/alg/interfaces/MatchingAlgorithm.html#getMatching()">MatchingAlgorithm</a></code></strong></div>
<div class="block">Returns set of edges making up the matching</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../org/jgrapht/alg/interfaces/MatchingAlgorithm.html#getMatching()">getMatching</a></code> in interface <code><a href="../../../org/jgrapht/alg/interfaces/MatchingAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">MatchingAlgorithm</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>,<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">E</a>></code></dd>
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<h4>getMatchingWeight</h4>
<pre>public double getMatchingWeight()</pre>
<div class="block"><strong>Description copied from interface: <code><a href="../../../org/jgrapht/alg/interfaces/WeightedMatchingAlgorithm.html#getMatchingWeight()">WeightedMatchingAlgorithm</a></code></strong></div>
<div class="block">Returns weight of a matching found</div>
<dl>
<dt><strong>Specified by:</strong></dt>
<dd><code><a href="../../../org/jgrapht/alg/interfaces/WeightedMatchingAlgorithm.html#getMatchingWeight()">getMatchingWeight</a></code> in interface <code><a href="../../../org/jgrapht/alg/interfaces/WeightedMatchingAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">WeightedMatchingAlgorithm</a><<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">V</a>,<a href="../../../org/jgrapht/alg/KuhnMunkresMinimalWeightBipartitePerfectMatching.html" title="type parameter in KuhnMunkresMinimalWeightBipartitePerfectMatching">E</a>></code></dd>
<dt><span class="strong">Returns:</span></dt><dd>weight of a matching found</dd></dl>
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