Dealing with 4-variables by resolution: An improved MaxSAT algorithm
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2017 Elsevier B.V. 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) for the MAXSAT problem, improving the previous best upper bound O(1.358k) by Ivan Bliznets and Alexander Golovnev.