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VOLUME 2, ISSUE 4, PAPER 1


Generalized Majority-Minority Operations are Tractable

©Victor Dalmau, Universitat Pompeu Fabra

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.

Publication date: September 28, 2006

Full Text: PDF | PostScript
DOI: 10.2168/LMCS-2(4:1)2006

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