A New Upper Bound for Max-2-Sat: A Graph-Theoretic Approach

dc.creatorRaible, Daniel
dc.creatorFernau, Henning
dc.date2008-03-25
dc.date2008-04-07
dc.date.accessioned2026-07-07T12:17:51Z
dc.date.available2026-07-07T12:17:51Z
dc.descriptionIn {\sc MaxSat}, we ask for an assignment which satisfies the maximum number of clauses for a boolean formula in CNF. We present an algorithm yielding a run time upper bound of $O^*(2^{\frac{1}{6.2158}})$ for {\sc Max-2-Sat} (each clause contains at most 2 literals), where $K$ is the number of clauses. The run time has been achieved by using heuristic priorities on the choice of the variable on which we branch. The implementation of these heuristic priorities is rather simple, though they have a significant effect on the run time. The analysis is done using a tailored non-standard measure.
dc.identifierhttps://arxiv.org/abs/0803.3531
dc.identifierhttp://arxiv.org/abs/0803.3531
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212217
dc.subjectData Structures and Algorithms
dc.subjectComputational Complexity
dc.subjectDiscrete Mathematics
dc.titleA New Upper Bound for Max-2-Sat: A Graph-Theoretic Approach
dc.typetext

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