Approximating Steiner trees in graphs with restricted weights

Journal Article

  • Author(s): Magnús M. Halldórsson, Shuichi Ueno, Hiroshi Nakao, Yoji Kajitani
  • Article first published online: 07 Dec 1998
  • DOI: 10.1002/(SICI)1097-0037(199807)31:4<283::AID-NET8>3.0.CO;2-9
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We analyze the approximation ratio of the average distance heuristic for the Steiner tree problem on graphs and prove nearly tight bounds for the cases of complete graphs with binary weights {1, d} or weights in the interval [1, d], where d ≤ 2. The improvement over other analyzed algorithms is a factor of about e ≈ 2.718. © 1998 John Wiley & Sons, Inc. Networks 31: 283–292, 1998

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