Approximability of bounded occurrence max ones

  • Authors:
  • Fredrik Kuivinen

  • Affiliations:
  • Department of Computer and Information Science, Linköpings Universitet, Linköping, Sweden

  • Venue:
  • MFCS'06 Proceedings of the 31st international conference on Mathematical Foundations of Computer Science
  • Year:
  • 2006

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Abstract

We study the approximability of Max Ones when the number of variable occurrences is bounded by a constant. For conservative constraint languages (i.e., when the unary relations are included) we give a complete classification when the number of occurrences is three or more and a partial classification when the bound is two. For the non-conservative case we prove that it is either trivial or equivalent to the corresponding conservative problem under polynomial-time many-one reductions.