Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems

Abstract

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.

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