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- W2949796101 abstract "Valued constraint satisfaction problems (VCSPs) are discrete optimisation problems with the objective function given as a sum of fixed-arity functions; the values are rational numbers or infinity.In Boolean surjective VCSPs variables take on labels from D={0,1} and an optimal assignment is required to use both labels from D. A classic example is the global min-cut problem in graphs. Building on the work of Uppman, we establish a dichotomy theorem and thus give a complete complexity classification of Boolean surjective VCSPs. The newly discovered tractable case has an interesting structure related to projections of downsets and upsets. Our work generalises the dichotomy for {0,infinity}-valued constraint languages corresponding to CSPs) obtained by Creignou and Hebrard, and the dichotomy for {0,1}-valued constraint languages (corresponding to Min-CSPs) obtained by Uppman." @default.
- W2949796101 created "2019-06-27" @default.
- W2949796101 creator A5063516924 @default.
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- W2949796101 date "2017-01-01" @default.
- W2949796101 modified "2023-09-24" @default.
- W2949796101 title "The Complexity of Boolean Surjective General-Valued CSPs" @default.
- W2949796101 doi "https://doi.org/10.4230/lipics.mfcs.2017.4" @default.
- W2949796101 hasPublicationYear "2017" @default.
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