Dualities for Constraint Satisfaction Problems

  • Authors:
  • Andrei A. Bulatov;Andrei Krokhin;Benoit Larose

  • Affiliations:
  • School of Computing Science, Simon Fraser University, Burnaby, Canada V5A 1S6;Department of Computer Science, Durham University, Durham, UK DH1 3LE;Department of Mathematics and Statistics, Concordia University, Montréal, Canada H3G 1M8

  • Venue:
  • Complexity of Constraints
  • Year:
  • 2008

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Abstract

In a nutshell, a duality for a constraint satisfaction problem equates the existence of one homomorphism to the non-existence of other homomorphisms. In this survey paper, we give an overview of logical, combinatorial, and algebraic aspects of the following forms of duality for constraint satisfaction problems: finite duality, bounded pathwidth duality, and bounded treewidth duality.