Abstract
We consider the recent randomized \(\frac 34\)-algorithm for MAX SAT of Poloczek and Schnitger. We give a much simpler set of probabilities for setting the variables to true or false, which achieve the same expected performance guarantee. Our algorithm suggests a conceptually simple way to get a deterministic algorithm: rather than comparing to an unknown optimal solution, we instead compare the algorithm’s output to the optimal solution of an LP relaxation. This gives rise to a new LP rounding algorithm, which also achieves a performance guarantee of \(\frac 34\).
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van Zuylen, A. (2012). Simpler 3/4-Approximation Algorithms for MAX SAT. In: Solis-Oba, R., Persiano, G. (eds) Approximation and Online Algorithms. WAOA 2011. Lecture Notes in Computer Science, vol 7164. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-29116-6_16
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DOI: https://doi.org/10.1007/978-3-642-29116-6_16
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