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<h2 title="Class mxUnionFind" class="title">Class mxUnionFind</h2>
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<pre>public class <span class="strong">mxUnionFind</span>
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>
<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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<td class="colFirst"><code>class&nbsp;</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a></strong></code>
<div class="block">A class that defines the identity of a set.</div>
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<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.html#nodes">nodes</a></strong></code>
<div class="block">Maps from elements to nodes</div>
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<td class="colOne"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.html#mxUnionFind(java.lang.Object[])">mxUnionFind</a></strong>(<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>
<div class="block">Constructs a union find structure and initializes it with the specified
elements.</div>
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<td class="colFirst"><code>boolean</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.html#differ(java.lang.Object, java.lang.Object)">differ</a></strong>(<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,
<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>
<div class="block">Returns true if element a and element b are not in the same set.</div>
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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>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.html#find(com.mxgraph.analysis.mxUnionFind.Node)">find</a></strong>(<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;node)</code>
<div class="block">Returns the set that contains <code>node</code>.</div>
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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>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.html#getNode(java.lang.Object)">getNode</a></strong>(<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>
<div class="block">Returns the node that represents element.</div>
</td>
</tr>
<tr class="rowColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><strong><a href="../../../com/mxgraph/analysis/mxUnionFind.html#union(com.mxgraph.analysis.mxUnionFind.Node, com.mxgraph.analysis.mxUnionFind.Node)">union</a></strong>(<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;a,
<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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<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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<h4>nodes</h4>
<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>
<div class="block">Maps from elements to nodes</div>
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<h4>mxUnionFind</h4>
<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>
<div class="block">Constructs a union find structure and initializes it with the specified
elements.</div>
<dl><dt><span class="strong">Parameters:</span></dt><dd><code>elements</code> - </dd></dl>
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<h4>getNode</h4>
<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>
<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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<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,
<a href="../../../com/mxgraph/analysis/mxUnionFind.Node.html" title="class in com.mxgraph.analysis">mxUnionFind.Node</a>&nbsp;b)</pre>
<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>
<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,
<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>
<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>
<dl><dt><span class="strong">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="strong">Returns:</span></dt><dd>Returns true if a and b are in the same set.</dd><dt><span class="strong">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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