Steiner tree


Definition: A minimum-weight tree connecting a designated set of vertices, called terminals, in an undirected, weighted graph or points in a space. The tree may include non-terminals, which are called Steiner vertices or Steiner points.

Specialization (... is a kind of me.)
Euclidean Steiner tree, rectilinear Steiner tree.

See also minimum spanning tree.

Note: This differs from the minimum spanning tree in that the set of Steiner vertices must be identified. That is, additional vertices may be used.

Named for Jakob Steiner.

Some authors distinguish between Steiner trees and minimum Steiner trees.

Author: JLG


(C and Pascal).
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Entry modified 2 November 2020.
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Cite this as:
Joseph L. Ganley, "Steiner tree", in Dictionary of Algorithms and Data Structures [online], Paul E. Black, ed. 2 November 2020. (accessed TODAY) Available from: