A Dichotomy for 2-Constraint Forbidden CSP Patterns

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Abstract

Novel tractable classes of the binary CSP (constraint satisfaction problem) have recently been discovered by studying classes of instances defined by excluding subproblems described by patterns. The complete characterisation of all tractable classes defined by forbidden patterns is a challenging problem. We demonstrate a dichotomy in the case of forbidden patterns consisting of two constraints.

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Cooper, M. C., & Escamocher, G. (2012). A Dichotomy for 2-Constraint Forbidden CSP Patterns. In Proceedings of the 26th AAAI Conference on Artificial Intelligence, AAAI 2012 (pp. 464–470). AAAI Press. https://doi.org/10.1609/aaai.v26i1.8131

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