The turing way to parameterized complexity

  • Authors:
  • Marco Cesati

  • Affiliations:
  • Department of Computer Science, Systems, and Industrial Engineering, University of Rome "Tor Vergata", via del Politecnico 1, I-00133 Rome, Italy

  • Venue:
  • Journal of Computer and System Sciences - Special issue on Parameterized computation and complexity
  • Year:
  • 2003

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Abstract

We propose a general proof technique based on the Turing machine halting problem that allows us to establish membership results for the classes W[1], W[2], and W[P]. Using this technique, we prove that Perfect Code belongs to W[1], Steiner Tree belongs to W[2], and α-Balanced Separator, Maximal Irredundant Set, and Bounded DFA Intersection belong to W[P].