How Many Steiner Terminals Can You Connect in 20 Years?

  • Ralf Borndörfer
  • Nam-Dũng Hoang
  • Marika Karbstein
  • Thorsten Koch
  • Alexander Martin

Abstract

Steiner trees are constructed to connect a set of terminal nodes in a graph. This basic version of the Steiner tree problem is idealized, but it can effectively guide the search for successful approaches to many relevant variants, from both a theoretical and a computational point of view. This article illustrates the theoretical and algorithmic progress on Steiner tree type problems on two examples, the Steiner connectivity and the Steiner tree packing problem.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Ralf Borndörfer
    • 1
  • Nam-Dũng Hoang
    • 2
  • Marika Karbstein
    • 1
  • Thorsten Koch
    • 1
  • Alexander Martin
    • 3
  1. 1.Konrad-Zuse-Zentrum für Informationstechnik BerlinBerlinGermany
  2. 2.Faculty of Mathematics, Mechanics, and InformaticsVietnam National UniversityHanoiVietnam
  3. 3.Department MathematikFriedrich-Alexander-Universität Erlangen-NürnbergErlangenGermany

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