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Article Dans Une Revue Journal of Statistical Physics Année : 2011

Phase transitions for the cavity approach to the clique problem on random graphs

Résumé

We give a rigorous proof of two phase transitions for a disordered system designed to find large cliques inside Erdös random graphs. Such a system is associated with a conservative probabilistic cellular automaton inspired by the cavity method originally introduced in spin glass theory.
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Dates et versions

hal-00535753 , version 1 (12-11-2010)

Identifiants

  • HAL Id : hal-00535753 , version 1

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Alexandre Gaudilliere, Benedetto Scoppola, Elisabetta Scoppola, Massimiliano Viale. Phase transitions for the cavity approach to the clique problem on random graphs. Journal of Statistical Physics, 2011, 145, pp.1127-1155. ⟨hal-00535753⟩
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