(definition)
Definition: For a given variant of the Steiner tree problem, the maximum possible ratio of the length of a minimum spanning tree of a set of terminals to the length of an optimal Steiner tree of the same set of terminals. Usually written ρ (rho).
Note: In graphs ρ = 2. In the Euclidean metric, ρ = 2/ √(3). In the rectilinear metric, ρ = 3/2.
Author: JLG
If you have suggestions, corrections, or comments, please get in touch with Paul Black.
Entry modified 17 December 2004.
HTML page formatted Wed Mar 13 12:42:46 2019.
Cite this as:
Joseph L. Ganley, "Steiner ratio", in
Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 17 December 2004. (accessed TODAY)
Available from: https://www.nist.gov/dads/HTML/steinerratio.html