(definition)

**Definition:**
A point that is not part of the input set of points, for instance, a point computed to construct a *Steiner tree*.

*Note:
Also called a Steiner point.
*

* Consider the three points of a triangle. The shortest tree connecting all three, called the Steiner tree, 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.
*

* From Algorithms and Theory of Computation Handbook, page 19-27, Copyright © 1999 by CRC Press LLC. Appearing in the Dictionary of Computer Science, Engineering and Technology, Copyright © 2000 CRC Press LLC.*

Author: CRC-A

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Entry modified 17 December 2004.

HTML page formatted Fri Mar 25 16:20:35 2011.

Cite this as:

Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "Steiner vertex", in
*Dictionary of Algorithms and Data
Structures* [online], Paul E. Black, ed.,
U.S. National Institute of
Standards and Technology. 17 December 2004. (accessed TODAY)
Available from: http://www.nist.gov/dads/HTML/steinervertx.html