Phase transitions for the cavity approach to the clique problem on random graphs
Probability
2015-05-20 v1 Statistical Mechanics
Social and Information Networks
Physics and Society
Abstract
We give a rigorous proof of two phase transitions for a disordered system designed to find large cliques inside Erdos random graphs. Such a system is associated with a conservative probabilistic cellular automaton inspired by the cavity method originally introduced in spin glass theory.
Cite
@article{arxiv.1011.2945,
title = {Phase transitions for the cavity approach to the clique problem on random graphs},
author = {Alexandre Gaudilliere and Benedetto Scoppola and Elisabetta Scoppola and Massimiliano Viale},
journal= {arXiv preprint arXiv:1011.2945},
year = {2015}
}
Comments
36 pages, 4 figures