(definition)

**Definition:**
(1) A point that is not part of the input set of points, for instance, a point computed to construct a *Steiner tree*. (2) A point with a particular geometric relation to a triangle.

*Note:
Also called a Steiner vertex. *

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

Named for Jakob Steiner. See the following for the geometric (classical) definition of a Steiner Point.

Go to the Dictionary of Algorithms and Data Structures home page.

If you have suggestions, corrections, or comments, please get in touch with Paul Black.

Entry modified 17 December 2004.

HTML page formatted Fri Feb 23 10:06:08 2018.

Cite this as:

Algorithms and Theory of Computation Handbook, CRC Press LLC, 1999, "Steiner point", in
*Dictionary of Algorithms and Data Structures* [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/steinerpoint.html