The Parameterized Complexity of Local Consistency

@article{Gaspers2011ThePC,
  title={The Parameterized Complexity of Local Consistency},
  author={Serge Gaspers and Stefan Szeider},
  journal={Electronic Colloquium on Computational Complexity (ECCC)},
  year={2011},
  volume={18},
  pages={71}
}
We investigate the parameterized complexity of deciding whether a constraint network is kconsistent. 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 ` 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 + ` the problem drops down one more level… CONTINUE READING

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