The use of random fields, which allows one to take into account the spatial interaction among random variables in complex systems, is a frequent tool in numerous problems of stati...
Abstract. This paper presents an experimental investigation of the following questions: how does the averagecase complexity of random 3-SAT, understood as a function of the order (...
Cristian Coarfa, Demetrios D. Demopoulos, Alfonso ...
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...
For the random 2-SAT formula F(n, p), let FC(n, p) be the formula left after the pure literal algorithm applied to F(n, p) stops. Using the recently developed Poisson cloning model...
We present a deterministic approximation algorithm to compute logarithm of the number of `good' truth assignments for a random k-satisfiability (k-SAT) formula in polynomial ...