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<H1>binomial tree</H1>
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(data structure)

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<strong>Definition:</strong>
A binomial <a href="tree.html" tppabs="http://hissa.nist.gov/dads/HTML/tree.html"><em>tree</em></a> of order k  <img src="geq.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/geq.gif" border=0 height=7  width=14 alt="greater than or equal to"> 0, that is B<sub>k</sub>, has a <a href="root.html" tppabs="http://hissa.nist.gov/dads/HTML/root.html"><em>root</em></a> with k <a href="child.html" tppabs="http://hissa.nist.gov/dads/HTML/child.html"><em>children</em></a> where the i<sup>th</sup> child is binomial tree of order k-i.
<P><strong>See also</strong>
<a href="binomialheap.html" tppabs="http://hissa.nist.gov/dads/HTML/binomialheap.html"><em>binomial heap</em></a>.
<P><em>Note:
A B<sub>k</sub> tree has 2<sup>k</sup> nodes, the height is k, and there are k choose i nodes at depth i. <P> Adapted from [CLR, page 401].</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>

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Entry modified Mon Jun 21 11:28:23 1999.<BR>
HTML page formatted Wed Dec 22 09:34:49 1999.

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