dijkstraalgo.html

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<TITLE>Dijkstra's algorithm</TITLE>
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<H1>Dijkstra's algorithm</H1>
<P>
(algorithm)

<P>
<strong>Definition:</strong>
An 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>.  All weights must be nonnegative.
<P><strong>See also</strong>
<a href="bellmanford.html" tppabs="http://hissa.nist.gov/dads/HTML/bellmanford.html"><em>Bellman-Ford 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 527].</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>Implementation</H2>
An <A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.ee.uwa.edu.au/%7Eplsd210/ds/dijkstra.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.ee.uwa.edu.au/%7Eplsd210/ds/dijkstra.html'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.ee.uwa.edu.au/%7Eplsd210/ds/dijkstra.html">analysis with code (C)</A>

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Go to the
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home page.

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If you have suggestions, corrections, or comments, please get in touch
with
<a href="javascript:if(confirm('http://hissa.nist.gov/~black/black.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://hissa.nist.gov/~black/black.html'" tppabs="http://hissa.nist.gov/~black/black.html">Paul E. Black</a>
&nbsp;(<a href="mailto:paul.black@nist.gov">paul.black@nist.gov</a>).

<p>
Entry modified Mon Nov  1 09:04:00 1999.<BR>
HTML page formatted Wed Dec 22 09:35:09 1999.

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