Bounds on greedy algorithms for MAX SAT

  • Authors:
  • Matthias Poloczek

  • Affiliations:
  • Institute of Computer Science, University of Frankfurt, Frankfurt, Germany

  • Venue:
  • ESA'11 Proceedings of the 19th European conference on Algorithms
  • Year:
  • 2011

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Abstract

We study adaptive priority algorithms for MAX SAT and show that no such deterministic algorithm can reach approximation ratio 3/4, assuming an appropriate model of data items. As a consequence we obtain that the Slack-Algorithm of [13] cannot be derandomized. Moreover, we present a significantly simpler version of the Slack-Algorithm and also simplify its analysis. Additionally, we show that the algorithm achieves a ratio of 3/4 even if we compare its score with the optimal fractional score.