Complexity of several constraint satisfaction problems using the heuristic, classical, algorithm, WalkSAT

preprint2011arXivOpen access

Abstract

We determine the complexity of several constraint satisfaction problems using the heuristic algorithm, WalkSAT. At large sizes N, the complexity increases exponentially with N in all cases. Perhaps surprisingly, out of all the models studied, the hardest for WalkSAT is the one for which there is a polynomial time algorithm.

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