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Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems

Gabriel Istrate
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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.

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Gabriel Istrate. 2005-03-29. Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems. https://arxiv.org/abs/cs/0503083

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