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📄 matching.html

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<TITLE>matching</TITLE>
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  content="Definition of matching,
	possibly with links to more information and implementations.">
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<H1>matching</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
(1) A <a href="subgraph.html" tppabs="http://hissa.nist.gov/dads/HTML/subgraph.html"><em>subgraph</em></a> in which every <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertex</em></a> has a degree at most one.  In other words, no two <a href="edge.html" tppabs="http://hissa.nist.gov/dads/HTML/edge.html"><em>edges</em></a> share a common vertex.   (2) The problem of finding such a subgraph.
<P><strong>See also</strong>
<a href="stringmatch.html" tppabs="http://hissa.nist.gov/dads/HTML/stringmatch.html"><em>string match</em></a>, <a href="perfectmatch.html" tppabs="http://hissa.nist.gov/dads/HTML/perfectmatch.html"><em>perfect matching</em></a>, <a href="freeedge.html" tppabs="http://hissa.nist.gov/dads/HTML/freeedge.html"><em>free edge</em></a>, <a href="matchededge.html" tppabs="http://hissa.nist.gov/dads/HTML/matchededge.html"><em>matched edge</em></a>, <a href="freevertex.html" tppabs="http://hissa.nist.gov/dads/HTML/freevertex.html"><em>free vertex</em></a>, <a href="matchedvertx.html" tppabs="http://hissa.nist.gov/dads/HTML/matchedvertx.html"><em>matched vertex</em></a>.
<P><em>Note:
From Algorithms and Theory of Computation Handbook, page 7-21, 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>
<H2>Implementation</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/matching.shtml  \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.cs.sunysb.edu/%7Ealgorith/files/matching.shtml'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/matching.shtml">(Fortran, C, C++, and Pascal)</A>

<hr>

Go to the
<A HREF="terms.html" tppabs="http://hissa.nist.gov/dads/terms.html">Algorithms, Data Structures, and Problems</A>
home page.

<hr>

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 Fri Jul 23 12:40:04 1999.<BR>
HTML page formatted Wed Dec 22 09:35:48 1999.

<P>
This page's URL is
<A href="matching.html" tppabs="http://hissa.nist.gov/dads/HTML/matching.html">http://hissa.nist.gov/dads/HTML/matching.html</A>

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