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.
Bicoloring Random Hypergraphs
Tommaso Castellani,Vincenzo Napolano,F. Ricci-Tersenghi,R. Zecchina
Published 2003 in arXiv: Disordered Systems and Neural Networks
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- Publication year
2003
- Venue
arXiv: Disordered Systems and Neural Networks
- Publication date
2003-06-13
- Fields of study
Mathematics, Physics, Computer Science
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