Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems

Details Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems

2005-03-29

arxiv.org/abs/cs/0503083v1

Computer Science

Discrete Mathematics

A revised version of this paper will appear in Discrete Applied Mathematics

Scientific paper

We study threshold properties of random constraint satisfaction problems under a probabilistic model due to Molloy. We give a sufficient condition for the existence of a sharp threshold that leads (for boolean constraints) to a necessary and sufficient for the existence of a sharp threshold in the case where constraint templates are applied with equal probability, solving thus an open problem of Creignou and Daude.

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