Tricritical Points in Random Combinatorics: the (2+p)-SAT case
Disordered Systems and Neural Networks
2009-10-31 v1
Abstract
The (2+p)-Satisfiability (SAT) problem interpolates between different classes of complexity theory and is believed to be of basic interest in understanding the onset of typical case complexity in random combinatorics. In this paper, a tricritical point in the phase diagram of the random -SAT problem is analytically computed using the replica approach and found to lie in the range . These bounds on are in agreement with previous numerical simulations and rigorous results.
Cite
@article{arxiv.cond-mat/9810008,
title = {Tricritical Points in Random Combinatorics: the (2+p)-SAT case},
author = {Remi Monasson and Riccardo Zecchina},
journal= {arXiv preprint arXiv:cond-mat/9810008},
year = {2009}
}
Comments
7 pages, 1 figure, RevTeX, to appear in J.Phys.A