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Bicoloring Random Hypergraphs

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arxiv cond-mat/0306369 v2 pith:PZ5LP2AH submitted 2003-06-13 cond-mat.dis-nn cond-mat.stat-mech

Bicoloring Random Hypergraphs

classification cond-mat.dis-nn cond-mat.stat-mech
keywords bicoloringalgorithmhypergraphsphaserandomresultsagreementanalytical
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We study the problem of bicoloring random hypergraphs, both numerically and analytically. We apply the zero-temperature cavity method to find analytical results for the phase transitions (dynamic and static) in the 1RSB approximation. These points appear to be in agreement with the results of the numerical algorithm. In the second part, we implement and test the Survey Propagation algorithm for specific bicoloring instances in the so called HARD-SAT phase.

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