The Steiner tree problem on graphs: inapproximability results

Janka Chlebikova, M. Chlebik

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Abstract

The Steiner tree problem on weighted graphs seeks a minimum weight subtree containing a given subset of the vertices (terminals). We show that it is NP-hard to approximate the Steiner tree problem within a factor 96/95. Our inapproximability results are stated in a parametric way, and explicit hardness factors would be improved automatically providing gadgets and/or expanders with better parameters.
Original languageEnglish
Pages (from-to)207-214
Number of pages8
JournalTheoretical Computer Science
Volume406
Issue number3
DOIs
Publication statusPublished - 31 Oct 2008

Keywords

  • Steiner tree
  • graphs
  • approximation hardness

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