You are here

Characterising the complexity of constraint satisfaction problems defined by 2-constraint forbidden patterns

Authors: 

Martin Cooper, Guillaume Escamocher

Publication Type: 
Refereed Original Article
Abstract: 
Although the CSP (constraint satisfaction problem) is NP-complete, even in the case when all constraints are binary, certain classes of instances are tractable. We study classes of binary CSP instances defined by excluding subproblems. This approach has recently led to the discovery of novel tractable classes. The complete characterisation of all tractable classes defined by forbidding patterns (where a pattern is simply a compact representation of a set of subproblems) is a challenging problem. We demonstrate a dichotomy in the case of forbidden patterns consisting of either one or two constraints. This has allowed us to discover several new tractable classes including, for example, a novel generalisation of 2SAT. We then extend this dichotomy to existential patterns which are only forbidden on specific domain values.
Digital Object Identifer (DOI): 
10.1016/j.dam.2014.10.035
Publication Status: 
Published
Date Accepted for Publication: 
Saturday, 18 October, 2014
Publication Date: 
31/03/2015
Journal: 
Discrete Applied Mathematics
Volume: 
184
Pages: 
89-113
Institution: 
National University of Ireland, Cork (UCC)
Open access repository: 
Yes
Publication document: