Periodic Constraint Satisfaction Problems: Tractable Subclasses

  • Authors:
  • Hubie Chen

  • Affiliations:
  • Departament de Tecnologia, Universitat Pompeu Fabra, Barcelona, Spain

  • Venue:
  • Constraints
  • Year:
  • 2005

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Abstract

We study a generalization of the constraint satisfaction problem (CSP), the periodic constraint satisfaction problem. An input instance of the periodic CSP is a finite set of "generating" constraints over a structured variable set that implicitly specifies a larger, possibly infinite set of constraints; the problem is to decide whether or not the larger set of constraints has a satisfying assignment. This model is natural for studying constraint networks consisting of constraints obeying a high degree of regularity or symmetry. Our main contribution is the identification of two broad polynomial-time tractable subclasses of the periodic CSP.