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<H1>planar graph</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
A <a href="graph.html" tppabs="http://hissa.nist.gov/dads/HTML/graph.html"><em>graph</em></a> that can be drawn in the plane with no  crossing <a href="edge.html" tppabs="http://hissa.nist.gov/dads/HTML/edge.html"><em>edges</em></a>.
<P><em>Note:
Equivalently, a graph that does not contain any subgraph homeomorphic to the <a href="completgraph.html" tppabs="http://hissa.nist.gov/dads/HTML/completgraph.html"><em>complete graph</em></a> on 5 vertices or the complete <a href="bipartgraph.html" tppabs="http://hissa.nist.gov/dads/HTML/bipartgraph.html"><em>bipartite graph</em></a> with 3 vertices in each partition.</em>
<P>Author: <a href="terms.html#authorJLG" tppabs="http://hissa.nist.gov/dads/terms.html#authorJLG">JLG</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/planar-drawing.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/planar-drawing.shtml'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.cs.sunysb.edu/%7Ealgorith/files/planar-drawing.shtml">draw a graph in the plane such that no edges cross (C, C++, and Mathematica)</A>
<H2>More information</H2>
<A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.math.lsa.umich.edu/%7Emathsch/summ97/graph/graph5/  \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.math.lsa.umich.edu/%7Emathsch/summ97/graph/graph5/'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.math.lsa.umich.edu/%7Emathsch/summ97/graph/graph5/">Tutorial</A>. Another <A HREF="javascript:if(confirm('http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.csr.uvic.ca/%7Emmania/graphs/tutorial/level3.htm  \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.csr.uvic.ca/%7Emmania/graphs/tutorial/level3.htm'" tppabs="http://www.nist.gov/cgi-bin/exit_nist.cgi?url=http://www.csr.uvic.ca/%7Emmania/graphs/tutorial/level3.htm">tutorial</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 Wed Sep 29 13:28:48 1999.<BR>
HTML page formatted Wed Dec 22 09:36:08 1999.

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