Some optimal inapproximability results

  • Authors:
  • Johan Håstad

  • Affiliations:
  • Royal Institute of Technology, Stockholm, Sweden

  • Venue:
  • Journal of the ACM (JACM)
  • Year:
  • 2001

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Abstract

We prove optimal, up to an arbitrary ε 0, inapproximability results for Max-E k-Sat for k ≥ 3, maximizing the number of satisfied linear equations in an over-determined system of linear equations modulo a prime p and Set Splitting. As a consequence of these results we get improved lower bounds for the efficient approximability of many optimization problems studied previously. In particular, for Max-E2-Sat, Max-Cut, Max-di-Cut, and Vertex cover.