Randomized approximations of parameterized counting problems

  • Authors:
  • Moritz Müller

  • Affiliations:
  • Abteilung für mathematische Logik, Albert-Ludwigs-Universität Freiburg, Freiburg, Germany

  • Venue:
  • IWPEC'06 Proceedings of the Second international conference on Parameterized and Exact Computation
  • Year:
  • 2006

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Abstract

We prove that each parameterized counting problem in the class #[P] has a randomized fpt approximation algorithm using a W[P] oracle. Analoguous statements hold for #W[t] and #A[t] for each t≥1. These results are parameterized analogues of a theorem due to O.Goldreich and L.Stockmeyer.