Steiner tree in planar graphs: an O(n log n) approximation scheme with singly-exponential dependence on epsilon

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

  • Affiliations:
  • Brown University, Providence RI;Brown University, Providence RI;Brown University, Providence RI

  • Venue:
  • WADS'07 Proceedings of the 10th international conference on Algorithms and Data Structures
  • Year:
  • 2007

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Abstract

We give an algorithm that, for any ε 0, any undirected planar graph G, and any set S of nodes of G, computes a (1+ε)-optimal Steiner tree in G that spans the nodes of S. The algorithm takes time O(2poly(1/ε)n log n).