English

The K-sat problem in a simple limit

Disordered Systems and Neural Networks 2007-05-23 v2 Statistical Mechanics

Abstract

We compute the thermodynamic properties of the 3-satisfiability problem in the infinite connectivity limit. In this limit the computations can be strongly simplified and the thermodynamical properties can be obtained with an high accuracy. We find evidence for a continuous replica symmetry breaking in the region of high number of clauses, α>αc\alpha > \alpha_c.

Keywords

Cite

@article{arxiv.cond-mat/0007364,
  title  = {The K-sat problem in a simple limit},
  author = {L. Leuzzi and G. Parisi},
  journal= {arXiv preprint arXiv:cond-mat/0007364},
  year   = {2007}
}

Comments

9 pages, 6 figures. To appear in J. Stat. Phys. Minor changes