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Upper and Lower Bounds for Different Parameterizations of (n,3)-MAXSAT

  • Tatiana Belova
  • Ivan Bliznets
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11346)

Abstract

In this paper, we consider the (n,3)-MAXSAT problem. The problem is a special case of the Maximum Satisfiability problem with an additional requirement that in input formula each variable appears at most three times. Here, we improve previous upper bounds for (n,3)-MAXSAT in terms of n (number of variables) and in terms of k (number of clauses that we are required to satisfy). Moreover, we prove that satisfying more clauses than the simple all true assignment is an NP-hard problem.

Keywords

Maximum satisfiability Exact algorithms Parameterization above guarantee 

Notes

Acknowledgments

We would like to thank Sergey Kopeliovich for discussions in early stage of the project and Danil Sagunov as well as the anonymous reviewers for valuable comments that improved the presentation of this paper.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.St. Petersburg Department of Steklov Institute of Mathematics of the Russian Academy of SciencesSaint PetersburgRussia

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