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<H1>Bellman-Ford algorithm</H1>
<P>
(algorithm)

<P>
<strong>Definition:</strong>
An efficient algorithm to find the <a href="shortestpath.html" tppabs="http://hissa.nist.gov/dads/HTML/shortestpath.html"><em>shortest paths</em></a> from a single <a href="source.html" tppabs="http://hissa.nist.gov/dads/HTML/source.html"><em>source</em></a> <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertex</em></a> to all other vertices in a  <a href="weightdigraf.html" tppabs="http://hissa.nist.gov/dads/HTML/weightdigraf.html"><em>weighted, directed graph</em></a>. Weights may be negative.
<P><strong>See also</strong>
<a href="dijkstraalgo.html" tppabs="http://hissa.nist.gov/dads/HTML/dijkstraalgo.html"><em>Dijkstra's algorithm</em></a>, <a href="allpairsshrt.html" tppabs="http://hissa.nist.gov/dads/HTML/allpairsshrt.html"><em>all pairs shortest path</em></a>.
<P><em>Note:
After [CLR, page 532]</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 Wed Jun  2 16:03:49 1999.<BR>
HTML page formatted Wed Dec 22 09:34:46 1999.

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