Improved fixed-parameter algorithms for two feedback set problems

  • Authors:
  • Jiong Guo;Jens Gramm;Falk Hüffner;Rolf Niedermeier;Sebastian Wernicke

  • Affiliations:
  • Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany;Wilhelm-Schickard-Institut für Informatik, Universität Tübingen, Tübingen, Germany;Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany;Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany;Institut für Informatik, Friedrich-Schiller-Universität Jena, Jena, Germany

  • Venue:
  • WADS'05 Proceedings of the 9th international conference on Algorithms and Data Structures
  • Year:
  • 2005

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Abstract

Settling a ten years open question, we show that the NP-complete Feedback Vertex Set problem is deterministically solvable in O(ck · m) time, where m denotes the number of graph edges, k denotes the size of the feedback vertex set searched for, and c is a constant. As a second result, we present a fixed-parameter algorithm for the NP-complete Edge Bipartization problem with runtime O(2k · m2).