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<div class="subTitle">org.jgrapht.alg.flow</div>
<h2 title="Class EdmondsKarpMaximumFlow" class="title">Class EdmondsKarpMaximumFlow&lt;V,E&gt;</h2>
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<li><a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html" title="class in org.jgrapht.alg.flow">org.jgrapht.alg.flow.MaximumFlowAlgorithmBase</a>&lt;V,E&gt;</li>
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<li>org.jgrapht.alg.flow.EdmondsKarpMaximumFlow&lt;V,E&gt;</li>
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<dt>All Implemented Interfaces:</dt>
<dd><a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">MaximumFlowAlgorithm</a>&lt;V,E&gt;</dd>
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<pre>public final class <span class="strong">EdmondsKarpMaximumFlow&lt;V,E&gt;</span>
extends <a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html" title="class in org.jgrapht.alg.flow">MaximumFlowAlgorithmBase</a>&lt;V,E&gt;</pre>
<div class="block">A <a href = "http://en.wikipedia.org/wiki/Flow_network">flow network</a> is a
directed graph where each edge has a capacity and each edge receives a flow.
The amount of flow on an edge can not exceed the capacity of the edge (note,
that all capacities must be non-negative). A flow must satisfy the
restriction that the amount of flow into a vertex equals the amount of flow
out of it, except when it is a source, which "produces" flow, or sink, which
"consumes" flow.
<p>This class computes maximum flow in a network using <a href =
"http://en.wikipedia.org/wiki/Edmonds-Karp_algorithm">Edmonds-Karp
algorithm</a>. Be careful: for large networks this algorithm may consume
significant amount of time (its upper-bound complexity is O(VE^2), where V -
amount of vertices, E - amount of edges in the network).
<p>For more details see Andrew V. Goldberg's <i>Combinatorial Optimization
(Lecture Notes)</i>.</div>
<dl><dt><span class="strong">Author:</span></dt>
<dd>Ilya Razensteyn</dd></dl>
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<h3>Nested classes/interfaces inherited from interface&nbsp;org.jgrapht.alg.interfaces.<a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.html" title="interface in org.jgrapht.alg.interfaces">MaximumFlowAlgorithm</a></h3>
<code><a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlow.html" title="interface in org.jgrapht.alg.interfaces">MaximumFlowAlgorithm.MaximumFlow</a>&lt;<a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlow.html" title="type parameter in MaximumFlowAlgorithm.MaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlow.html" title="type parameter in MaximumFlowAlgorithm.MaximumFlow">E</a>&gt;, <a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlowImpl.html" title="class in org.jgrapht.alg.interfaces">MaximumFlowAlgorithm.MaximumFlowImpl</a>&lt;<a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlowImpl.html" title="type parameter in MaximumFlowAlgorithm.MaximumFlowImpl">V</a>,<a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlowImpl.html" title="type parameter in MaximumFlowAlgorithm.MaximumFlowImpl">E</a>&gt;</code></li>
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<h3>Fields inherited from class&nbsp;org.jgrapht.alg.flow.<a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html" title="class in org.jgrapht.alg.flow">MaximumFlowAlgorithmBase</a></h3>
<code><a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html#DEFAULT_EPSILON">DEFAULT_EPSILON</a></code></li>
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<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#EdmondsKarpMaximumFlow(org.jgrapht.DirectedGraph)">EdmondsKarpMaximumFlow</a></strong>(<a href="../../../../org/jgrapht/DirectedGraph.html" title="interface in org.jgrapht">DirectedGraph</a>&lt;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&gt;&nbsp;network)</code>
<div class="block">Constructs <tt>MaximumFlow</tt> instance to work with <i>a copy of</i>
<tt>network</tt>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#EdmondsKarpMaximumFlow(org.jgrapht.DirectedGraph,%20double)">EdmondsKarpMaximumFlow</a></strong>(<a href="../../../../org/jgrapht/DirectedGraph.html" title="interface in org.jgrapht">DirectedGraph</a>&lt;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&gt;&nbsp;network,
double&nbsp;epsilon)</code>
<div class="block">Constructs <tt>MaximumFlow</tt> instance to work with <i>a copy of</i>
<tt>network</tt>.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
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<td class="colFirst"><code><a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlow.html" title="interface in org.jgrapht.alg.interfaces">MaximumFlowAlgorithm.MaximumFlow</a>&lt;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&gt;</code></td>
<td class="colLast"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#buildMaximumFlow(V,%20V)">buildMaximumFlow</a></strong>(<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;source,
<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;sink)</code>
<div class="block">Sets current source to <tt>source</tt>, current sink to <tt>sink</tt>,
then calculates maximum flow from <tt>source</tt> to <tt>sink</tt>.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>protected org.jgrapht.alg.flow.EdmondsKarpMaximumFlow.EdgeExtension</code></td>
<td class="colLast"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#extendedEdge(E)">extendedEdge</a></strong>(<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&nbsp;e)</code>&nbsp;</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected org.jgrapht.alg.flow.EdmondsKarpMaximumFlow.VertexExtension</code></td>
<td class="colLast"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#extendedVertex(V)">extendedVertex</a></strong>(<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;v)</code>&nbsp;</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a></code></td>
<td class="colLast"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#getCurrentSink()">getCurrentSink</a></strong>()</code>
<div class="block">Returns current sink vertex, or <tt>null</tt> if there was no <tt>
calculateMaximumFlow</tt> calls.</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a></code></td>
<td class="colLast"><code><strong><a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html#getCurrentSource()">getCurrentSource</a></strong>()</code>
<div class="block">Returns current source vertex, or <tt>null</tt> if there was no <tt>
calculateMaximumFlow</tt> calls.</div>
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<code><a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html#compareFlowTo(double,%20double)">compareFlowTo</a>, <a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html#composeFlow()">composeFlow</a>, <a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html#edgeExtended(E)">edgeExtended</a>, <a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html#pushFlowThrough(org.jgrapht.alg.flow.MaximumFlowAlgorithmBase.EdgeExtensionBase,%20double)">pushFlowThrough</a>, <a href="../../../../org/jgrapht/alg/flow/MaximumFlowAlgorithmBase.html#vertexExtended(V)">vertexExtended</a></code></li>
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<h4>EdmondsKarpMaximumFlow</h4>
<pre>public&nbsp;EdmondsKarpMaximumFlow(<a href="../../../../org/jgrapht/DirectedGraph.html" title="interface in org.jgrapht">DirectedGraph</a>&lt;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&gt;&nbsp;network)</pre>
<div class="block">Constructs <tt>MaximumFlow</tt> instance to work with <i>a copy of</i>
<tt>network</tt>. Current source and sink are set to <tt>null</tt>. If
<tt>network</tt> is weighted, then capacities are weights, otherwise all
capacities are equal to one. Doubles are compared using <tt>
DEFAULT_EPSILON</tt> tolerance.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>network</code> - network, where maximum flow will be calculated</dd></dl>
</li>
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<a name="EdmondsKarpMaximumFlow(org.jgrapht.DirectedGraph, double)">
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<h4>EdmondsKarpMaximumFlow</h4>
<pre>public&nbsp;EdmondsKarpMaximumFlow(<a href="../../../../org/jgrapht/DirectedGraph.html" title="interface in org.jgrapht">DirectedGraph</a>&lt;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&gt;&nbsp;network,
double&nbsp;epsilon)</pre>
<div class="block">Constructs <tt>MaximumFlow</tt> instance to work with <i>a copy of</i>
<tt>network</tt>. Current source and sink are set to <tt>null</tt>. If
<tt>network</tt> is weighted, then capacities are weights, otherwise all
capacities are equal to one.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>network</code> - network, where maximum flow will be calculated</dd><dd><code>epsilon</code> - tolerance for comparing doubles</dd></dl>
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<a name="buildMaximumFlow(java.lang.Object,java.lang.Object)">
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</a><a name="buildMaximumFlow(V, V)">
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<h4>buildMaximumFlow</h4>
<pre>public&nbsp;<a href="../../../../org/jgrapht/alg/interfaces/MaximumFlowAlgorithm.MaximumFlow.html" title="interface in org.jgrapht.alg.interfaces">MaximumFlowAlgorithm.MaximumFlow</a>&lt;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>,<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&gt;&nbsp;buildMaximumFlow(<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;source,
<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;sink)</pre>
<div class="block">Sets current source to <tt>source</tt>, current sink to <tt>sink</tt>,
then calculates maximum flow from <tt>source</tt> to <tt>sink</tt>. Note,
that <tt>source</tt> and <tt>sink</tt> must be vertices of the <tt>
network</tt> passed to the constructor, and they must be different.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>source</code> - source vertex</dd><dd><code>sink</code> - sink vertex</dd>
<dt><span class="strong">Returns:</span></dt><dd>maximum flow</dd></dl>
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<a name="extendedVertex(java.lang.Object)">
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<h4>extendedVertex</h4>
<pre>protected&nbsp;org.jgrapht.alg.flow.EdmondsKarpMaximumFlow.VertexExtension&nbsp;extendedVertex(<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;v)</pre>
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<h4>extendedEdge</h4>
<pre>protected&nbsp;org.jgrapht.alg.flow.EdmondsKarpMaximumFlow.EdgeExtension&nbsp;extendedEdge(<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">E</a>&nbsp;e)</pre>
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<h4>getCurrentSource</h4>
<pre>public&nbsp;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;getCurrentSource()</pre>
<div class="block">Returns current source vertex, or <tt>null</tt> if there was no <tt>
calculateMaximumFlow</tt> calls.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>current source</dd></dl>
</li>
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<h4>getCurrentSink</h4>
<pre>public&nbsp;<a href="../../../../org/jgrapht/alg/flow/EdmondsKarpMaximumFlow.html" title="type parameter in EdmondsKarpMaximumFlow">V</a>&nbsp;getCurrentSink()</pre>
<div class="block">Returns current sink vertex, or <tt>null</tt> if there was no <tt>
calculateMaximumFlow</tt> calls.</div>
<dl><dt><span class="strong">Returns:</span></dt><dd>current sink</dd></dl>
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