Steiner ratio


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

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Entry modified 17 December 2004.
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Cite this as:
Joseph L. Ganley, "Steiner ratio", in Dictionary of Algorithms and Data Structures [online], Vreda Pieterse and Paul E. Black, eds. 17 December 2004. (accessed TODAY) Available from: