Complexity of Homogeneous Co-Boolean Constraint Satisfaction Problems

Florian Richoux

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arXiv · 1011.4744

Complexity of Homogeneous Co-Boolean Constraint Satisfaction Problems

Florian Richoux

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Abstract

Constraint Satisfaction Problems (CSP) constitute a convenient way to capture many combinatorial problems. The general CSP is known to be NP-complete, but its complexity depends on a template, usually a set of relations, upon which they are constructed. Following this template, there exist tractable and intractable instances of CSPs. It has been proved that for each CSP problem over a given set of relations there exists a corresponding CSP problem over graphs of unary functions belonging to the same complexity class. In this short note we show a dichotomy theorem for every finite domain D of CSP built upon graphs of homogeneous co-Boolean functions, i.e., unary functions sharing the Boolean range {0, 1}.

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Florian Richoux. 2010-11-22. Complexity of Homogeneous Co-Boolean Constraint Satisfaction Problems. https://arxiv.org/abs/1011.4744

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