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<H1>Euclidean traveling salesman problem</H1>
<P>
(classic problem)

<P>
<strong>Definition:</strong>
Find a <a href="path.html" tppabs="http://hissa.nist.gov/dads/HTML/path.html"><em>path</em></a> of minimum <a href="euclidndstnc.html" tppabs="http://hissa.nist.gov/dads/HTML/euclidndstnc.html"><em>Euclidean distance</em></a> between points in a plane which includes each point exactly once and returns to its starting point.
<P><strong>See also</strong>
<a href="travelsales.html" tppabs="http://hissa.nist.gov/dads/HTML/travelsales.html"><em>traveling salesman</em></a>, <a href="spanningtree.html" tppabs="http://hissa.nist.gov/dads/HTML/spanningtree.html"><em>spanning tree</em></a>.
<P><em>Note:
This can be generalized to higher dimensions, for instance, points in a 3-dimensional space.  This problem is a special case of traveling salesman since the cost between points is the planar distance instead of arbitrary weights.</em>
<P>Author: <a href="terms.html#authorPEB" tppabs="http://hissa.nist.gov/dads/terms.html#authorPEB">PEB</a>

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Entry modified Fri Oct 15 10:04:13 1999.<BR>
HTML page formatted Wed Dec 22 09:35:15 1999.

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