📄 vertexcolor.html

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<H1>vertex coloring</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
An assignment of colors (or any distinct marks) to the  <a href="vertex.html" tppabs="http://hissa.nist.gov/dads/HTML/vertex.html"><em>vertices</em></a> of a <a href="graph.html" tppabs="http://hissa.nist.gov/dads/HTML/graph.html"><em>graph</em></a>.  A coloring is a <a href="propercolor.html" tppabs="http://hissa.nist.gov/dads/HTML/propercolor.html"><em>proper coloring</em></a> if no two <a href="adjacent.html" tppabs="http://hissa.nist.gov/dads/HTML/adjacent.html"><em>adjacent</em></a> vertices have the same color.
<P><strong>See also</strong>
<a href="edgecoloring.html" tppabs="http://hissa.nist.gov/dads/HTML/edgecoloring.html"><em>edge coloring</em></a>, <a href="kcoloring.html" tppabs="http://hissa.nist.gov/dads/HTML/kcoloring.html"><em><em>k</em>-coloring</em></a>, <a href="vertexcover.html" tppabs="http://hissa.nist.gov/dads/HTML/vertexcover.html"><em>vertex cover</em></a>.
<P><em>Note:
From Algorithms and Theory of Computation Handbook, Copyright &copy; 1999 by CRC Press LLC.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>,<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/vertex-coloring.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/vertex-coloring.shtml'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/vertex-coloring.shtml">(Fortran, C, Pascal, C++, and Mathematica)</A>

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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>).

<p>
Entry modified Tue May 11 09:32:04 1999.<BR>
HTML page formatted Wed Dec 22 09:36:51 1999.

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