Largest Chordal and Interval Subgraphs Faster Than 2n

  • Ivan Bliznets
  • Fedor V. Fomin
  • Michał Pilipczuk
  • Yngve Villanger
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8125)

Abstract

We prove that in an n-vertex graph, induced chordal and interval subgraphs with the maximum number of vertices can be found in time \(\mathcal{O}(2^{\lambda n})\) for some λ < 1. These are the first algorithms breaking the trivial 2nnO(1) bound of the brute-force search for these problems.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Ivan Bliznets
    • 1
  • Fedor V. Fomin
    • 2
  • Michał Pilipczuk
    • 2
  • Yngve Villanger
    • 2
  1. 1.St. Petersburg Academic University of the Russian Academy of SciencesRussia
  2. 2.Department of InformaticsUniversity of BergenNorway

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