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Schaefer's Theorem for Graphs

2015
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Journal of the ACM
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Schaefer's theorem is a complexity classification result for so-called Boolean constraint satisfaction problems: it states that every Boolean constraint satisfaction problem is either contained in one out of six classes and can be solved in polynomial time, or is NP-complete. We present an analog of this dichotomy result for the propositional logic of graphs instead of Boolean logic. In this generalization of Schaefer's result, the input consists of a set W of variables and a conjunction Φ of

doi:10.1145/2764899
fatcat:2mlvkuglx5euxmbuphjclv3ede