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<title>mxUnionFind (mxGraph 3.7.2 API Specification)</title>
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<div class="subTitle">com.mxgraph.analysis</div>
<h2 title="Class mxUnionFind" class="title">Class mxUnionFind</h2>
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<ul class="inheritance">
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<li><a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
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<pre>public class <span class="typeNameLabel">mxUnionFind</span>
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extends <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></pre>
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<div class="block">Implements a union find structure that uses union by rank and path
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compression. The union by rank guarantees worst case find time of O(log N),
while Tarjan shows that in combination with path compression (halving) the
average time for an arbitrary sequence of m >= n operations is
O(m*alpha(m,n)), where alpha is the inverse of the Ackermann function,
defined as follows:
<code>alpha(m,n) = min{i &gt;= 1 | A(i, floor(m/n)) &gt; log n} for m &gt;= n &gt;= 1</code>
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Which yields almost constant time for each individual operation.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>class&nbsp;</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></span></code>
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<div class="block">A class that defines the identity of a set.</div>
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<td class="colFirst"><code>protected <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/util/Map.html?is-external=true" title="class or interface in java.util">Map</a>&lt;<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>,<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&gt;</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.html#nodes">nodes</a></span></code>
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<div class="block">Maps from elements to nodes</div>
</td>
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</table>
</li>
</ul>
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<td class="colOne"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.html#mxUnionFind-java.lang.Object:A-">mxUnionFind</a></span>(<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>[]&nbsp;elements)</code>
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<div class="block">Constructs a union find structure and initializes it with the specified
elements.</div>
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<h3>Method Summary</h3>
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<table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd">&nbsp;</span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">Instance Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd">&nbsp;</span></span></caption>
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<td class="colFirst"><code>boolean</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.html#differ-java.lang.Object-java.lang.Object-">differ</a></span>(<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;a,
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<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;b)</code>
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<div class="block">Returns true if element a and element b are not in the same set.</div>
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<tr id="i1" class="rowColor">
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<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.html#find-com.mxgraph.analysis.mxUnionFind.Node-">find</a></span>(<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;node)</code>
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<div class="block">Returns the set that contains <code>node</code>.</div>
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<tr id="i2" class="altColor">
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<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.html#getNode-java.lang.Object-">getNode</a></span>(<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;element)</code>
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<div class="block">Returns the node that represents element.</div>
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<td class="colFirst"><code>void</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxUnionFind.html#union-com.mxgraph.analysis.mxUnionFind.Node-com.mxgraph.analysis.mxUnionFind.Node-">union</a></span>(<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;a,
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<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;b)</code>
<div class="block">Unifies the sets <code>a</code> and <code>b</code> in constant time
using a union by rank on the tree size.</div>
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<h3>Methods inherited from class&nbsp;java.lang.<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
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<code><a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#clone--" title="class or interface in java.lang">clone</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#equals-java.lang.Object-" title="class or interface in java.lang">equals</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#finalize--" title="class or interface in java.lang">finalize</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#getClass--" title="class or interface in java.lang">getClass</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#hashCode--" title="class or interface in java.lang">hashCode</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#notify--" title="class or interface in java.lang">notify</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#notifyAll--" title="class or interface in java.lang">notifyAll</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#toString--" title="class or interface in java.lang">toString</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#wait--" title="class or interface in java.lang">wait</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#wait-long-" title="class or interface in java.lang">wait</a>, <a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true#wait-long-int-" title="class or interface in java.lang">wait</a></code></li>
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<pre>protected&nbsp;<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/util/Map.html?is-external=true" title="class or interface in java.util">Map</a>&lt;<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>,<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&gt; nodes</pre>
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<div class="block">Maps from elements to nodes</div>
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<pre>public&nbsp;mxUnionFind(<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>[]&nbsp;elements)</pre>
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<div class="block">Constructs a union find structure and initializes it with the specified
elements.</div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>elements</code> - </dd>
</dl>
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<h3>Method Detail</h3>
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<h4>getNode</h4>
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<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;getNode(<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;element)</pre>
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<div class="block">Returns the node that represents element.</div>
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<h4>find</h4>
<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;find(<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;node)</pre>
<div class="block">Returns the set that contains <code>node</code>. This implementation
provides path compression by halving.</div>
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<a name="union-com.mxgraph.analysis.mxUnionFind.Node-com.mxgraph.analysis.mxUnionFind.Node-">
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<h4>union</h4>
<pre>public&nbsp;void&nbsp;union(<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;a,
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<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;b)</pre>
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<div class="block">Unifies the sets <code>a</code> and <code>b</code> in constant time
using a union by rank on the tree size.</div>
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<h4>differ</h4>
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<pre>public&nbsp;boolean&nbsp;differ(<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;a,
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<a href="http://download.oracle.com/javase/1.5.0/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a>&nbsp;b)</pre>
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<div class="block">Returns true if element a and element b are not in the same set. This
uses getNode and then find to determine the elements set.</div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>a</code> - The first element to compare.</dd>
<dd><code>b</code> - The second element to compare.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns true if a and b are in the same set.</dd>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../com/mxgraph/analysis/mxUnionFind.html#getNode-java.lang.Object-"><code>getNode(Object)</code></a></dd>
</dl>
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