English

Dealing With 4-Variables by Resolution: An Improved MaxSAT Algorithm

Data Structures and Algorithms 2015-03-11 v1

Abstract

We study techniques for solving the Maximum Satisfiability problem (MaxSAT). Our focus is on variables of degree 4. We identify cases for degree-4 variables and show how the resolution principle and the kernelization techniques can be nicely integrated to achieve more efficient algorithms for the MaxSAT problem. As a result, we present an algorithm of time O(1.3248k)O^*(1.3248^k) for the MaxSAT problem, improving the previous best upper bound O(1.358k)O^*(1.358^k) by Ivan Bliznets and Alexander.

Keywords

Cite

@article{arxiv.1503.02920,
  title  = {Dealing With 4-Variables by Resolution: An Improved MaxSAT Algorithm},
  author = {Jianer Chen and Chao Xu},
  journal= {arXiv preprint arXiv:1503.02920},
  year   = {2015}
}
R2 v1 2026-06-22T08:48:49.369Z