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arXiv · 1503.02920

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

Jianer Chen·Chao Xu
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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 $O^*(1.3248^k)$ for the MaxSAT problem, improving the previous best upper bound $O^*(1.358^k)$ by Ivan Bliznets and Alexander.

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Jianer Chen, Chao Xu. 2015-03-10. Dealing With 4-Variables by Resolution: An Improved MaxSAT Algorithm. https://arxiv.org/abs/1503.02920

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