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Clusters of solutions and replica symmetry breaking in random k-satisfiability

Andrea Montanari1,2, Federico Ricci-Tersenghi3 and Guilhem Semerjian4

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Table 1. Numerical values of the various critical thresholds. For k = 3 we have formally αc = αd, see the text for details on the nature of the difference between k = 3 and k ≥ 4.
k αd αc αs [12] αf
3 3.86 3.86 4.267 *
4 9.38 9.547 9.931 9.88
5 19.16 20.80 21.117 *
6 36.53 43.08 43.37 39.87 [46]


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