2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/32686We 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 MathematicsDiscrete MathematicsComputational Complexitytext