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On the satisfiability threshold and clustering of solutions of random 3-SAT formulas

✍ Scribed by Elitza Maneva; Alistair Sinclair

Book ID
108281470
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
718 KB
Volume
407
Category
Article
ISSN
0304-3975

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Let be a random Boolean formula that is an instance of 3-SAT. We consider the problem of computing the least real number such that if the ratio of the number of clauses over the number of variables of strictly exceeds , then is almost certainly unsatisfiable. By a well-known and more or less straigh