Approximation Algorithm for the Max k-CSP Problem.

Moses Charikar, Konstantin Makarychev, Yury Makarychev · 2006

We present a ck 2k approximation algorithm for the Max k-CSP problem (where c> 0.44 is an absolute constant). This result improves the previously best known algorithm by Hast, which has an approximation guarantee of Ω ( k 2k log k). Our approximation guarantee matches the upper bound of Samorodnitsky and Trevisan up to a constant factor (their result assumes the Unique Games Conjecture). 1

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