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- W4298414456 abstract "In Constraint Programming, global constraints allow to model and solve many combinatorial problems. Among these constraints, several sortedness constraints have been defined, for which propagation algorithms are available, but for which the tractability is not settled. We show that the sort(U,V) constraint (Older et. al, 1995) is intractable for integer variables whose domains are not limited to intervals. As a consequence, the similar result holds for the sort(U,V, P) constraint (Zhou, 1996). Moreover, the intractability holds even under the stability condition present in the recently introduced keysorting(U,V,Keys,P) constraint (Carlsson et al., 2014), and requiring that the order of the variables with the same value in the list U be preserved in the list V. Therefore, keysorting(U,V,Keys,P) is intractable as well." @default.
- W4298414456 created "2022-10-02" @default.
- W4298414456 creator A5031719973 @default.
- W4298414456 date "2015-06-08" @default.
- W4298414456 modified "2023-10-16" @default.
- W4298414456 title "NP-hardness of sortedness constraints" @default.
- W4298414456 doi "https://doi.org/10.48550/arxiv.1506.02442" @default.
- W4298414456 hasPublicationYear "2015" @default.
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