# A fast algorithm for Steiner trees

```@article{Kou2004AFA,
title={A fast algorithm for Steiner trees},
author={Lawrence T. Kou and George Markowsky and Leonard Berman},
journal={Acta Informatica},
year={2004},
volume={15},
pages={141-145}
}```
• Published 1 June 1981
• Computer Science
• Acta Informatica
SummaryGiven an undirected distance graph G=(V, E, d) and a set S, where V is the set of vertices in G, E is the set of edges in G, d is a distance function which maps E into the set of nonnegative numbers and S⊑V is a subset of the vertices of V, the Steiner tree problem is to find a tree of G that spans S with minimal total distance on its edges. In this paper, we analyze a heuristic algorithm for the Steiner tree problem. The heuristic algorithm has a worst case time complexity of O(¦S¦¦V¦2…
848 Citations

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