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

March 10, 2015 Β· Declared Dead Β· πŸ› Theoretical Computer Science

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Authors Jianer Chen, Chao Xu arXiv ID 1503.02920 Category cs.DS: Data Structures & Algorithms Citations 19 Venue Theoretical Computer Science Last Checked 3 months ago
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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