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<h2 title="Class mxFibonacciHeap" class="title">Class mxFibonacciHeap</h2>
</div>
<div class="contentContainer">
<ul class="inheritance">
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<li><a href="http://docs.oracle.com/javase/7/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">mxFibonacciHeap</span>
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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></pre>
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<div class="block">This class implements a priority queue.</div>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>static class&nbsp;</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></span></code>
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<div class="block">Implements a node of the Fibonacci heap.</div>
</td>
</tr>
</table>
</li>
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<h3>Field Summary</h3>
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<table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Field Summary table, listing fields, and an explanation">
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<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
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<td class="colFirst"><code>protected <a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#min">min</a></span></code>&nbsp;</td>
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</tr>
<tr class="rowColor">
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<td class="colFirst"><code>protected <a href="http://docs.oracle.com/javase/7/docs/api/java/util/Map.html?is-external=true" title="class or interface in java.util">Map</a>&lt;<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>,<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt;</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#nodes">nodes</a></span></code>
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<div class="block">Maps from elements to nodes</div>
</td>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected int</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#size">size</a></span></code>&nbsp;</td>
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</tr>
</table>
</li>
</ul>
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<!-- ======== CONSTRUCTOR SUMMARY ======== -->
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<h3>Constructor Summary</h3>
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
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<td class="colOne"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#mxFibonacciHeap--">mxFibonacciHeap</a></span>()</code>&nbsp;</td>
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</tr>
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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="t1" class="tableTab"><span><a href="javascript:show(1);">Static Methods</a></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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<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
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<tr id="i0" class="altColor">
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<td class="colFirst"><code>protected void</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#cascadingCut-com.mxgraph.analysis.mxFibonacciHeap.Node-">cascadingCut</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code>
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<div class="block">Performs a cascading cut operation.</div>
</td>
</tr>
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<tr id="i1" class="rowColor">
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<td class="colFirst"><code>protected void</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#consolidate--">consolidate</a></span>()</code>
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<div class="block">Consolidates the trees in the heap by joining trees of equal degree until
there are no more trees of equal degree in the root list.</div>
</td>
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<tr id="i2" class="altColor">
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<td class="colFirst"><code>protected void</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#cut-com.mxgraph.analysis.mxFibonacciHeap.Node-com.mxgraph.analysis.mxFibonacciHeap.Node-">cut</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
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<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code>
<div class="block">The reverse of the link operation: removes x from the child list of y.</div>
</td>
</tr>
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<tr id="i3" class="rowColor">
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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/mxFibonacciHeap.html#decreaseKey-com.mxgraph.analysis.mxFibonacciHeap.Node-double-">decreaseKey</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
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double&nbsp;k)</code>
<div class="block">Decreases the key value for a heap node, given the new value to take on.</div>
</td>
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<tr id="i4" class="altColor">
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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/mxFibonacciHeap.html#delete-com.mxgraph.analysis.mxFibonacciHeap.Node-">delete</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code>
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<div class="block">Deletes a node from the heap given the reference to the node.</div>
</td>
</tr>
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<tr id="i5" class="rowColor">
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<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#getNode-java.lang.Object-boolean-">getNode</a></span>(<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>&nbsp;element,
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boolean&nbsp;create)</code>
<div class="block">Returns the node that represents element.</div>
</td>
</tr>
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<tr id="i6" class="altColor">
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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/mxFibonacciHeap.html#insert-com.mxgraph.analysis.mxFibonacciHeap.Node-double-">insert</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
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double&nbsp;key)</code>
<div class="block">Inserts a new data element into the heap.</div>
</td>
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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/mxFibonacciHeap.html#isEmpty--">isEmpty</a></span>()</code>
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<div class="block">Returns true if the queue is empty.</div>
</td>
</tr>
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<tr id="i8" class="altColor">
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<td class="colFirst"><code>protected void</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#link-com.mxgraph.analysis.mxFibonacciHeap.Node-com.mxgraph.analysis.mxFibonacciHeap.Node-">link</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
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<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code>
<div class="block">Make node y a child of node x.</div>
</td>
</tr>
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<tr id="i9" class="rowColor">
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<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#min--">min</a></span>()</code>
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<div class="block">Returns the smallest element in the heap.</div>
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<td class="colFirst"><code><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#removeMin--">removeMin</a></span>()</code>
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<div class="block">Removes the smallest element from the heap.</div>
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<td class="colFirst"><code>int</code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#size--">size</a></span>()</code>
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<div class="block">Returns the size of the heap which is measured in the number of elements
contained in the heap.</div>
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<td class="colFirst"><code>static <a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a></code></td>
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<td class="colLast"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#union-com.mxgraph.analysis.mxFibonacciHeap-com.mxgraph.analysis.mxFibonacciHeap-">union</a></span>(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
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<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</code>
<div class="block">Joins two Fibonacci heaps into a new one.</div>
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<h3>Methods inherited from class&nbsp;java.lang.<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></h3>
<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone--" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/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://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize--" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass--" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode--" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify--" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll--" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString--" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait--" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait-long-" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/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://docs.oracle.com/javase/7/docs/api/java/util/Map.html?is-external=true" title="class or interface in java.util">Map</a>&lt;<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>,<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt; nodes</pre>
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<div class="block">Maps from elements to nodes</div>
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<pre>protected&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a> min</pre>
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<pre>protected&nbsp;int size</pre>
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<pre>public&nbsp;mxFibonacciHeap()</pre>
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<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;getNode(<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>&nbsp;element,
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boolean&nbsp;create)</pre>
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<div class="block">Returns the node that represents element.</div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>element</code> - the element whose node to find</dd>
<dd><code>create</code> - whether to create</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>the node representing the specified element</dd>
</dl>
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<pre>public&nbsp;boolean&nbsp;isEmpty()</pre>
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<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>whether the queue is empty</dd>
</dl>
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<pre>public&nbsp;void&nbsp;decreaseKey(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
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double&nbsp;k)</pre>
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<div class="block">Decreases the key value for a heap node, given the new value to take on.
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The structure of the heap may be changed and will not be consolidated.
<p>
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</p></div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>x</code> - Node whose value should be decreased.</dd>
<dd><code>k</code> - New key value for node x.</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
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<dd><code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/IllegalArgumentException.html?is-external=true" title="class or interface in java.lang">IllegalArgumentException</a></code> - Thrown if k is larger than x.key value.</dd>
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</dl>
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<pre>public&nbsp;void&nbsp;delete(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</pre>
<div class="block">Deletes a node from the heap given the reference to the node. The trees
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in the heap will be consolidated, if necessary. This operation may fail
to remove the correct element if there are nodes with key value
-Infinity.
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Running time: O(log n) amortized
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</p></div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>x</code> - The node to remove from the heap.</dd>
</dl>
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<pre>public&nbsp;void&nbsp;insert(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
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double&nbsp;key)</pre>
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<div class="block">Inserts a new data element into the heap. No heap consolidation is
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performed at this time, the new node is simply inserted into the root
list of this heap.
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</p></div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>node</code> - new node to insert into heap</dd>
<dd><code>key</code> - key value associated with data object</dd>
</dl>
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<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;min()</pre>
<div class="block">Returns the smallest element in the heap. This smallest element is the
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one with the minimum key value.
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</p></div>
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<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the heap node with the smallest key.</dd>
</dl>
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<pre>public&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;removeMin()</pre>
<div class="block">Removes the smallest element from the heap. This will cause the trees in
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the heap to be consolidated, if necessary.
Does not remove the data node so that the current key remains stored.
<p>
Running time: O(log n) amortized
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</p></div>
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<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the node with the smallest key.</dd>
</dl>
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<pre>public&nbsp;int&nbsp;size()</pre>
<div class="block">Returns the size of the heap which is measured in the number of elements
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contained in the heap.
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</p></div>
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<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns the number of elements in the heap.</dd>
</dl>
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</li>
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<pre>public static&nbsp;<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;union(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
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<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</pre>
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<div class="block">Joins two Fibonacci heaps into a new one. No heap consolidation is
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performed at this time. The two root lists are simply joined together.
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</p></div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>h1</code> - The first heap.</dd>
<dd><code>h2</code> - The second heap.</dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>Returns a new heap containing h1 and h2.</dd>
</dl>
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</li>
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<pre>protected&nbsp;void&nbsp;cascadingCut(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</pre>
<div class="block">Performs a cascading cut operation. This cuts y from its parent and then
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does the same for its parent, and so on up the tree.
<p>
Running time: O(log n); O(1) excluding the recursion
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</p></div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>y</code> - The node to perform cascading cut on.</dd>
</dl>
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<pre>protected&nbsp;void&nbsp;consolidate()</pre>
<div class="block">Consolidates the trees in the heap by joining trees of equal degree until
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there are no more trees of equal degree in the root list.
<p>
Running time: O(log n) amortized
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</p></div>
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</ul>
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<pre>protected&nbsp;void&nbsp;cut(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
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<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</pre>
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<div class="block">The reverse of the link operation: removes x from the child list of y.
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This method assumes that min is non-null.
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Running time: O(1)
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</p></div>
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>x</code> - The child of y to be removed from y's child list.</dd>
<dd><code>y</code> - The parent of x about to lose a child.</dd>
</dl>
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</li>
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<pre>protected&nbsp;void&nbsp;link(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
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<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</pre>
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<div class="block">Make node y a child of node x.
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<p>
Running time: O(1) actual
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<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>y</code> - The node to become child.</dd>
<dd><code>x</code> - The node to become parent.</dd>
</dl>
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