Conditional Hardness of Approximating Satisfiable Max 3CSP-q

  • Authors:
  • Linqing Tang

  • Affiliations:
  • State Key Lab. of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing, China 100080 and Graduate University of Chinese Academy of Sciences, Beijing, China

  • Venue:
  • ISAAC '09 Proceedings of the 20th International Symposium on Algorithms and Computation
  • Year:
  • 2009

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Abstract

In this article, we study the approximability of satisfiable Max 3CSP-q for q 3 be a prime. We give a $(\frac{1}{q}+\frac{1}{q^2}-\frac{1}{q^3})+\epsilon$-hardness result for approximate Max 3CSP-q even on satisfiable instances, conditioned on Khot's d-to-1 Conjecture, for any finite constant integer d q/2.