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- W1528594376 abstract "We investigate the parameterized complexity of deciding whether a constraint network is k-consistent. We show that, parameterized by k, the problem is complete for the complexity class co-W[2]. As secondary parameters we consider the maximum domain size d and the maximum number l of constraints in which a variable occurs. We show that parameterized by k + d, the problem drops down one complexity level and becomes co-W[1]-complete. Parameterized by k +d+l the problem drops down one more level and becomes fixed-parameter tractable. We further show that the same complexity classification applies to strong k-consistency, directional k-consistency, and strong directional k-consistency.Our results establish a super-polynomial separation between input size and time complexity. Thus we strengthen the known lower bounds on time complexity of k-consistency that are based on input size." @default.
- W1528594376 created "2016-06-24" @default.
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- W1528594376 date "2011-01-01" @default.
- W1528594376 modified "2023-09-26" @default.
- W1528594376 title "The Parameterized Complexity of Local Consistency" @default.
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- W1528594376 doi "https://doi.org/10.1007/978-3-642-23786-7_24" @default.
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