Parameterized Complexity of Arc-Weighted Directed Steiner Problems

  • Jiong Guo
  • Rolf Niedermeier
  • Ondřej Suchý
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5878)


We initiate a systematic parameterized complexity study of three fundamental network design problems on arc-weighted directed graphs: Directed Steiner Tree, Strongly Connected Steiner Subgraph, and Directed Steiner Network. We investigate their parameterized complexities with respect to the parameters “number of terminals”, “an upper bound on the size of the connecting network”, and the combination of both. We achieve several parameterized hardness as well as some fixed-parameter tractability results, in this way significantly extending previous results of Feldman and Ruhl [SIAM J. Comp. 2006].


Parameterized Complexity Hamiltonian Cycle Steiner Tree Problem Combine Parameter Tractability Result 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Jiong Guo
    • 1
  • Rolf Niedermeier
    • 2
  • Ondřej Suchý
    • 3
  1. 1.Universität des SaarlandesSaarbrückenGermany
  2. 2.Institut für InformatikFriedrich-Schiller-Universität JenaJenaGermany
  3. 3.Department of Applied Mathematics and Institute for Theoretical Computer ScienceCharles UniversityPrahaCzech Republic

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