Phase Transitions for the Cavity Approach to the Clique Problem on Random Graphs

被引：7
|
作者：
Gaudilliere, Alexandre [2 ]
Scoppola, Benedetto [3 ]
Scoppola, Elisabetta [1 ]
Viale, Massimiliano [4 ]
机构：
[1] Univ Rome Roma Tre, Dipartimento Matemat, I-00146 Rome, Italy
[2] Univ Aix Marseille 1, CNRS, LATP, F-13013 Marseille, France
[3] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
[4] Univ Roma La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
来源：
JOURNAL OF STATISTICAL PHYSICS | 2011年 / 145卷 / 05期
基金：
欧洲研究理事会;
关键词：
Phase transitions; Disordered systems; Random graphs; Cliques; Probabilistic cellular automaton;
D O I：
10.1007/s10955-011-0336-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We give a rigorous proof of two phase transitions for a disordered statistical mechanics system used to define an algorithm to find large cliques inside Erdos random graphs. Such a system is a conservative probabilistic cellular automaton inspired by the cavity method originally introduced in spin glass theory.
引用
收藏
页码：1127 / 1155
页数：29
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