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<H1>Steiner vertex</H1>
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(definition)

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<strong>Definition:</strong>
A point that is not part of the input set of points, for instance, a point computed to construct a <a href="steinertree.html" tppabs="http://hissa.nist.gov/dads/HTML/steinertree.html"><em>Steiner tree</em></a>.
<P><em>Note:
Also called a <a href="steinerpoint.html" tppabs="http://hissa.nist.gov/dads/HTML/steinerpoint.html"><em>Steiner point</em></a>. <P> Consider the three points of a triangle.  The shortest tree connecting all three, called the <a href="steinertree.html" tppabs="http://hissa.nist.gov/dads/HTML/steinertree.html"><em>Steiner tree</em></a>, branches out from a fourth point in the middle.  That middle point, which was not given initially and must be computed in order to build the shortest tree, is a Steiner point. <P> From Algorithms and Theory of Computation Handbook, page 19-27, 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>

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Entry modified Fri Oct 15 09:48:39 1999.<BR>
HTML page formatted Wed Dec 22 09:36:37 1999.

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