isomorphic.html

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<HEAD>
<TITLE>isomorphic</TITLE>
<META name="description"
  content="Definition of isomorphic,
	possibly with links to more information and implementations.">
<META name="keywords" content="isomorphic">
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<BODY BGCOLOR="#FFFFFF">

<H1>isomorphic</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
Two <a href="graph.html" tppabs="http://hissa.nist.gov/dads/HTML/graph.html"><em>graphs</em></a> are isomorphic if there  is a one-to-one correspondence between their <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertices</em></a> and there is an <a href="edge.html" tppabs="http://hissa.nist.gov/dads/HTML/edge.html"><em>edge</em></a> between two vertices of one graph if and only if there is an edge between the two corresponding vertices in the other graph. 
<P><strong>See also</strong>
<a href="homomorphic.html" tppabs="http://hissa.nist.gov/dads/HTML/homomorphic.html"><em>homomorphic</em></a>.
<P><em>Note:
See also bijection.</em>
<P>Author: <a href="terms.html#authorSKS" tppabs="http://hissa.nist.gov/dads/terms.html#authorSKS">SKS</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/graph-isomorphism.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/graph-isomorphism.shtml'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/graph-isomorphism.shtml">(C and Mathematica)</A>

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Go to the
<A HREF="terms.html" tppabs="http://hissa.nist.gov/dads/terms.html">Algorithms, Data Structures, and Problems</A>
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 Wed Nov 10 14:02:20 1999.<BR>
HTML page formatted Wed Dec 22 09:35:36 1999.

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

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