A Polynomial-Time Approximation Scheme for Euclidean Steiner Forest

  • Authors:
  • Glencora Borradaile;Philip N. Klein;Claire Mathieu

  • Affiliations:
  • -;-;-

  • Venue:
  • FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2008

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Abstract

We give a randomized $O(n^2 \log n)$-time approximation scheme for the Steiner forest problem in the Euclidean plane. For every fixed $\epsilon 0$ and given any $n$ pairs of terminals in the plane, our scheme finds a $(1+\epsilon)$-approximation to the minimum-length forest that connects every pair of terminals.