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<H1>flow network</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
A <a href="weightgraph.html" tppabs="http://hissa.nist.gov/dads/HTML/weightgraph.html"><em>weighted</em></a>, <a href="directgraph.html" tppabs="http://hissa.nist.gov/dads/HTML/directgraph.html"><em>directed graph</em></a> with two specially marked nodes, the <a href="source.html" tppabs="http://hissa.nist.gov/dads/HTML/source.html"><em>source</em></a> s and the <a href="sink.html" tppabs="http://hissa.nist.gov/dads/HTML/sink.html"><em>sink</em></a> t, and a <a href="capacity.html" tppabs="http://hissa.nist.gov/dads/HTML/capacity.html"><em>capacity</em></a> function which maps <a href="edge.html" tppabs="http://hissa.nist.gov/dads/HTML/edge.html"><em>edges</em></a> to positive real numbers, u: E  |-&gt;  <em>R</em><sup>+</sup>.
<P><strong>See also</strong>
<a href="maximumflow.html" tppabs="http://hissa.nist.gov/dads/HTML/maximumflow.html"><em>maximum-flow problem</em></a>, <a href="flowfunction.html" tppabs="http://hissa.nist.gov/dads/HTML/flowfunction.html"><em>flow function</em></a>.
<P><em>Note:
From Algorithms and Theory of Computation Handbook, page 7-10, Copyright &copy; 1999 by CRC Press LLC.</em>
<P>Author: <a href="terms.html#authorCRC-A" tppabs="http://hissa.nist.gov/dads/terms.html#authorCRC-A">CRC-A</a>

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Entry modified Thu Jun 17 13:07:57 1999.<BR>
HTML page formatted Wed Dec 22 09:35:22 1999.

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