English

Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems

Discrete Mathematics 2007-05-23 v1 Computational Complexity

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.

Keywords

Cite

@article{arxiv.cs/0503083,
  title  = {Coarse and Sharp Thresholds of Boolean Constraint Satisfaction Problems},
  author = {Gabriel Istrate},
  journal= {arXiv preprint arXiv:cs/0503083},
  year   = {2007}
}

Comments

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