Improved approximation algorithms for MAX NAE-SAT and MAX SAT

  • Authors:
  • Adi Avidor;Ido Berkovitch;Uri Zwick

  • Affiliations:
  • School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel;School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel;School of Computer Science, Tel-Aviv University, Tel-Aviv, Israel

  • Venue:
  • WAOA'05 Proceedings of the Third international conference on Approximation and Online Algorithms
  • Year:
  • 2005

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Abstract

MAX SAT and MAX NAE-SAT are central problems in theoretical computer science. We present an approximation algorithm for MAX NAE-SAT with a conjectured performance guarantee of 0.8279. This improves a previously conjectured performance guarantee of 0.7977 of Zwick [Zwi99]. Using a variant of our MAX NAE-SAT approximation algorithm, combined with other techniques used in [Asa03], we obtain an approximation algorithm for MAX SAT with a conjectured performance guarantee of 0.8434. This improves on an approximation algorithm of Asano [Asa03] with a conjectured performance guarantee of 0.8353. We also obtain a 0.7968-approximation algorithm for MAX SAT which is not based on any conjecture, improving a 0.7877-approximation algorithm of Asano [Asa03].