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<H1>BB <img src="alpha-1.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/alpha.gif"  border=0 height=7  width=8  alt="alpha"> tree</H1>
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(definition)

<P>
<strong>Definition:</strong>
A <a href="binarytree.html" tppabs="http://hissa.nist.gov/dads/HTML/binarytree.html"><em>binary tree</em></a> where the <a href="balance.html" tppabs="http://hissa.nist.gov/dads/HTML/balance.html"><em>balance</em></a> of every subtree,   <img src="rho2-1.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/rho2.gif"   border=0 height=14 width=6  alt="rho" align=middle>(T'), is bounded by  <img src="alpha-1.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/alpha.gif"  border=0 height=7  width=8  alt="alpha">  <img src="leq.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/leq.gif" border=0 height=7  width=14 alt="less than or equal to">  <img src="rho2-1.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/rho2.gif"   border=0 height=14 width=6  alt="rho" align=middle>(T')  <img src="leq.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/leq.gif" border=0 height=7  width=14 alt="less than or equal to"> 1- <img src="alpha-1.gif" tppabs="http://hissa.nist.gov/dads/HTML/Images/alpha.gif"  border=0 height=7  width=8  alt="alpha">.
<P><strong>See also</strong>
<a href="weightbaltre.html" tppabs="http://hissa.nist.gov/dads/HTML/weightbaltre.html"><em>weight-balanced tree</em></a> .
<P><em>Note:
After <strong>Johann Blieberger</strong> &lt;blieb@auto.tuwien.ac.at&gt;, <em>Discrete Loops and Worst Case Performance</em>, page 22.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>More information</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.auto.tuwien.ac.at/%7Eblieb/woop/bbalpha.html  \n\nThis file was not retrieved by Teleport Pro, because it is addressed on a domain or path outside the boundaries set for its Starting Address.  \n\nDo you want to open it from the server?'))window.location='http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.auto.tuwien.ac.at/%7Eblieb/woop/bbalpha.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.auto.tuwien.ac.at/%7Eblieb/woop/bbalpha.html">BB[alpha] Tree Traversal</A> including worst case performance and bibliography.

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Entry modified Tue Jun  8 11:21:48 1999.<BR>
HTML page formatted Wed Dec 22 09:34:46 1999.

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