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<h2 title="Class mxFibonacciHeap" class="title">Class mxFibonacciHeap</h2>
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<li>java.lang.Object</li>
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<pre>public class <span class="typeNameLabel">mxFibonacciHeap</span>
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extends java.lang.Object</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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<th class="colSecond" scope="col">Class</th>
<th class="colLast" scope="col">Description</th>
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</tr>
<tr class="altColor">
<td class="colFirst"><code>static class&nbsp;</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a></span></code></th>
<td class="colLast">
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<div class="block">Implements a node of the Fibonacci heap.</div>
</td>
</tr>
</table>
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<h3>Field Summary</h3>
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<th class="colFirst" scope="col">Modifier and Type</th>
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</tr>
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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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#min">min</a></span></code></th>
<td class="colLast">&nbsp;</td>
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</tr>
<tr class="rowColor">
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<td class="colFirst"><code>protected java.util.Map&lt;java.lang.Object,<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&gt;</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#nodes">nodes</a></span></code></th>
<td class="colLast">
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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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#size">size</a></span></code></th>
<td class="colLast">&nbsp;</td>
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</tr>
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<!-- ======== CONSTRUCTOR SUMMARY ======== -->
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<h3>Constructor Summary</h3>
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<table class="memberSummary" summary="Constructor Summary table, listing constructors, and an explanation">
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<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
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<th class="colFirst" scope="col">Constructor</th>
<th class="colLast" scope="col">Description</th>
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</tr>
<tr class="altColor">
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<th class="colConstructorName" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#mxFibonacciHeap--">mxFibonacciHeap</a></span>()</code></th>
<td class="colLast">&nbsp;</td>
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</tr>
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</li>
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<!-- ========== METHOD SUMMARY =========== -->
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<h3>Method Summary</h3>
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<table class="memberSummary" summary="Method Summary table, listing methods, and an explanation">
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<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>
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<th class="colSecond" scope="col">Method</th>
<th class="colLast" scope="col">Description</th>
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</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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#cascadingCut-com.mxgraph.analysis.mxFibonacciHeap.Node-">cascadingCut</a></span>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code></th>
<td class="colLast">
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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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#consolidate--">consolidate</a></span>()</code></th>
<td class="colLast">
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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>
</tr>
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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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<th class="colSecond" scope="row"><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>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y)</code></th>
<td class="colLast">
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<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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#decreaseKey-com.mxgraph.analysis.mxFibonacciHeap.Node-double-">decreaseKey</a></span>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x,
double&nbsp;k)</code></th>
<td class="colLast">
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<div class="block">Decreases the key value for a heap node, given the new value to take on.</div>
</td>
</tr>
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<tr id="i4" class="altColor">
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<td class="colFirst"><code>void</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#delete-com.mxgraph.analysis.mxFibonacciHeap.Node-">delete</a></span>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code></th>
<td class="colLast">
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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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#getNode-java.lang.Object-boolean-">getNode</a></span>&#8203;(java.lang.Object&nbsp;element,
boolean&nbsp;create)</code></th>
<td class="colLast">
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<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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#insert-com.mxgraph.analysis.mxFibonacciHeap.Node-double-">insert</a></span>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;node,
double&nbsp;key)</code></th>
<td class="colLast">
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<div class="block">Inserts a new data element into the heap.</div>
</td>
</tr>
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<tr id="i7" class="rowColor">
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<td class="colFirst"><code>boolean</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#isEmpty--">isEmpty</a></span>()</code></th>
<td class="colLast">
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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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<th class="colSecond" scope="row"><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>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;y,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.Node.html" title="class in com.mxgraph.analysis">mxFibonacciHeap.Node</a>&nbsp;x)</code></th>
<td class="colLast">
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<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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#min--">min</a></span>()</code></th>
<td class="colLast">
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<div class="block">Returns the smallest element in the heap.</div>
</td>
</tr>
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<tr id="i10" class="altColor">
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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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#removeMin--">removeMin</a></span>()</code></th>
<td class="colLast">
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<div class="block">Removes the smallest element from the heap.</div>
</td>
</tr>
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<tr id="i11" class="rowColor">
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<td class="colFirst"><code>int</code></td>
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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#size--">size</a></span>()</code></th>
<td class="colLast">
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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>
</td>
</tr>
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<tr id="i12" class="altColor">
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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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<th class="colSecond" scope="row"><code><span class="memberNameLink"><a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html#union-com.mxgraph.analysis.mxFibonacciHeap-com.mxgraph.analysis.mxFibonacciHeap-">union</a></span>&#8203;(<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h1,
<a href="../../../com/mxgraph/analysis/mxFibonacciHeap.html" title="class in com.mxgraph.analysis">mxFibonacciHeap</a>&nbsp;h2)</code></th>
<td class="colLast">
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<div class="block">Joins two Fibonacci heaps into a new one.</div>
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</table>
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<h3>Methods inherited from class&nbsp;java.lang.Object</h3>
<code>clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait</code></li>
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</ul>
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<h4>nodes</h4>
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<pre>protected&nbsp;java.util.Map&lt;java.lang.Object,<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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<h4>min</h4>
<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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<h3>Constructor Detail</h3>
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<pre>public&nbsp;mxFibonacciHeap()</pre>
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<h4>getNode</h4>
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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&#8203;(java.lang.Object&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>
<div class="block">Returns true if the queue is empty.</div>
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<dl>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>whether the queue is empty</dd>
</dl>
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</li>
</ul>
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<h4>decreaseKey</h4>
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<pre>public&nbsp;void&nbsp;decreaseKey&#8203;(<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>
Running time: O(1) amortized
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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>java.lang.IllegalArgumentException</code> - Thrown if k is larger than x.key value.</dd>
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</dl>
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</li>
</ul>
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<h4>delete</h4>
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<pre>public&nbsp;void&nbsp;delete&#8203;(<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">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.
<p>
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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</li>
</ul>
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<a name="insert-com.mxgraph.analysis.mxFibonacciHeap.Node-double-">
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<h4>insert</h4>
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<pre>public&nbsp;void&nbsp;insert&#8203;(<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.
<p>
Running time: O(1) actual
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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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</li>
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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.
<p>
Running time: O(1) actual
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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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</li>
</ul>
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<h4>removeMin</h4>
<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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</li>
</ul>
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<h4>size</h4>
<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.
<p>
Running time: O(1) actual
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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>
</ul>
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<a name="union-com.mxgraph.analysis.mxFibonacciHeap-com.mxgraph.analysis.mxFibonacciHeap-">
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<h4>union</h4>
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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&#8203;(<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.
<p>
Running time: O(1) actual
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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>
</ul>
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<a name="cascadingCut-com.mxgraph.analysis.mxFibonacciHeap.Node-">
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<h4>cascadingCut</h4>
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<pre>protected&nbsp;void&nbsp;cascadingCut&#8203;(<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">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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</li>
</ul>
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<a name="consolidate--">
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<h4>consolidate</h4>
<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>
</li>
</ul>
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<a name="cut-com.mxgraph.analysis.mxFibonacciHeap.Node-com.mxgraph.analysis.mxFibonacciHeap.Node-">
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<h4>cut</h4>
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<pre>protected&nbsp;void&nbsp;cut&#8203;(<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.
<p>
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>
</ul>
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<a name="link-com.mxgraph.analysis.mxFibonacciHeap.Node-com.mxgraph.analysis.mxFibonacciHeap.Node-">
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<h4>link</h4>
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<pre>protected&nbsp;void&nbsp;link&#8203;(<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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</p></div>
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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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