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CORR
2010
Springer
102views Education» more  CORR 2010»
14 years 9 months ago
Structure of random r-SAT below the pure literal threshold
It is well known that there is a sharp density threshold for a random r-SAT formula to be satisfiable, and a similar, smaller, threshold for it to be satisfied by the pure literal ...
Alexander D. Scott, Gregory B. Sorkin
RSA
2011
124views more  RSA 2011»
14 years 4 months ago
Sparse random graphs with clustering
In 2007 we introduced a general model of sparse random graphs with independence between the edges. The aim of this paper is to present an extension of this model in which the edge...
Béla Bollobás, Svante Janson, Oliver...
APPROX
2004
Springer
125views Algorithms» more  APPROX 2004»
15 years 3 months ago
Strong Refutation Heuristics for Random k-SAT
A simple first moment argument shows that in a randomly chosen k-SAT formula with m clauses over n boolean variables, the fraction of satisfiable clauses is 1−2−k +o(1) as m/...
Amin Coja-Oghlan, Andreas Goerdt, André Lan...
FOCS
2004
IEEE
15 years 1 months ago
Extracting Randomness Using Few Independent Sources
In this work we give the first deterministic extractors from a constant number of weak sources whose entropy rate is less than 1/2. Specifically, for every > 0 we give an expl...
Boaz Barak, Russell Impagliazzo, Avi Wigderson
FOCS
2006
IEEE
15 years 1 months ago
Witnesses for non-satisfiability of dense random 3CNF formulas
We consider random 3CNF formulas with n variables and m clauses. It is well known that when m > cn (for a sufficiently large constant c), most formulas are not satisfiable. How...
Uriel Feige, Jeong Han Kim, Eran Ofek