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- W2744976475 abstract "In Constraint Programming, global constraints allow to model and solve many combinatorial problems. Among these constraints, three sortedness constraints have been proposed, which define interesting and not so easy graph matching problems. In this paper, we formulate one of these problems as a marriage scheduling problem, which is a special perfect matching problem in a bipartite graph. We show that the marriage scheduling problem is NP-complete, and we explain the relationships between this graph problem and the sortedness constraints. As a consequence, we deduce that the sort(U,V) constraint (Older et al., 1995), the sort(U,V,P) constraint (Zhou, 1996) and the recently introduced keysorting(U,V,Keys,P) constraint (Carlsson et al., 2014) are intractable (assuming P ≠ NP) for integer variables whose domains are not limited to intervals." @default.
- W2744976475 created "2017-08-17" @default.
- W2744976475 creator A5031719973 @default.
- W2744976475 date "2017-09-01" @default.
- W2744976475 modified "2023-10-16" @default.
- W2744976475 title "Graph matching problems and the NP-hardness of sortedness constraints" @default.
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- W2744976475 doi "https://doi.org/10.1016/j.tcs.2017.07.019" @default.
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