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<H1>single-source shortest-path problem</H1>
<P>
(classic problem)

<P>
<strong>Definition:</strong>
Find the shortest <a href="path.html" tppabs="http://hissa.nist.gov/dads/HTML/path.html"><em>paths</em></a> from a specific source <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertex</em></a> to every other vertex in a <a href="weightdigraf.html" tppabs="http://hissa.nist.gov/dads/HTML/weightdigraf.html"><em>weighted, directed graph</em></a>.
<P><strong>See also</strong>
<a href="allpairsshrt.html" tppabs="http://hissa.nist.gov/dads/HTML/allpairsshrt.html"><em>all pairs shortest path</em></a>, <a href="singldstntns.html" tppabs="http://hissa.nist.gov/dads/HTML/singldstntns.html"><em>single-destination shortest-path problem</em></a>, <a href="dijkstraalgo.html" tppabs="http://hissa.nist.gov/dads/HTML/dijkstraalgo.html"><em>Dijkstra's algorithm</em></a>, <a href="bellmanford.html" tppabs="http://hissa.nist.gov/dads/HTML/bellmanford.html"><em>Bellman-Ford algorithm</em></a>, <a href="dagShortPath.html" tppabs="http://hissa.nist.gov/dads/HTML/dagShortPath.html"><em>DAG shortest paths</em></a>, <a href="graph.html" tppabs="http://hissa.nist.gov/dads/HTML/graph.html"><em>graph</em></a>.
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>
<H2>Implementation</H2>
See implementations at graph.

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If you have suggestions, corrections, or comments, please get in touch
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<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>).

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Entry modified Mon Dec 13 09:15:19 1999.<BR>
HTML page formatted Wed Dec 22 09:36:31 1999.

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