A Probabilistic Approach to Problems Parameterized above or below Tight Bounds

  • Gregory Gutin
  • Eun Jung Kim
  • Stefan Szeider
  • Anders Yeo
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5917)

Abstract

We introduce a new approach for establishing fixed-parameter tractability of problems parameterized above tight lower bounds or below tight upper bounds. To illustrate the approach we consider two problems of this type of unknown complexity that were introduced by Mahajan, Raman and Sikdar (J. Comput. Syst. Sci. 75, 2009). We show that a generalization of one of the problems and three nontrivial special cases of the other problem admit kernels of quadratic size.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Gregory Gutin
    • 1
  • Eun Jung Kim
    • 1
  • Stefan Szeider
    • 2
  • Anders Yeo
    • 1
  1. 1.Department of Computer ScienceRoyal Holloway, University of LondonEgham, SurreyUK
  2. 2.Department of Computer ScienceDurham UniversityDurham, EnglandUK

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