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<H1>randomized binary search tree</H1>
<P>
(data structure)

<P>
<strong>Definition:</strong>
A <a href="binarysrchtr.html" tppabs="http://hissa.nist.gov/dads/HTML/binarysrchtr.html"><em>binary search tree</em></a> built using randomized insert and delete operations.  No balance operations are done, and explicit balance information is unnecessary.
<P><em>Note:
Because of the randomization, the trees are always random, regardless of the number, kind and order of updates made.  The expected worst-case is <a href="bigOnotation.html" tppabs="http://hissa.nist.gov/dads/HTML/bigOnotation.html"><em>O(log n)</em></a> for any update or search in a RBST of size <em>n</em>. <BR> <strong>C. Martinez and S. Roura</strong>. <em>Randomized Binary Search Trees</em>.  Journal of the ACM, 45 (2):288-323, 1998</em>
<P>Author: <a href="terms.html#authorCM" tppabs="http://hissa.nist.gov/dads/terms.html#authorCM">CM</a>
<H2>More information</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.lsi.upc.es/%7Etechreps/1997.html%23R97-8  \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.lsi.upc.es/%7Etechreps/1997.html%23R97-8'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.lsi.upc.es/%7Etechreps/1997.html%23R97-8">Randomized Binary Search Trees</A> and <A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.lsi.upc.es/%7Etechreps/1998.html%23R98-48  \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.lsi.upc.es/%7Etechreps/1998.html%23R98-48'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.lsi.upc.es/%7Etechreps/1998.html%23R98-48">Randomized K-Dimensional Binary Search Trees</A>

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Entry modified Thu Feb 25 16:24:19 1999.<BR>
HTML page formatted Wed Dec 22 09:36:17 1999.

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