Generalized Majority-Minority Operations are Tractable

Victor Dalmau

doi:10.2168/lmcs-2(4:1)2006

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Generalized Majority-Minority Operations are Tractable

Victor Dalmau

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Abstract

Generalized majority-minority (GMM) operations are introduced as a common generalization of near unanimity operations and Mal'tsev operations on finite sets. We show that every instance of the constraint satisfaction problem (CSP), where all constraint relations are invariant under a (fixed) GMM operation, is solvable in polynomial time. This constitutes one of the largest tractable cases of the CSP.

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Victor Dalmau. 2006-09-19. Generalized Majority-Minority Operations are Tractable. https://doi.org/10.2168/lmcs-2(4:1)2006

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