45th Annual IEEE Symposium on Foundations of Computer Science (FOCS'04)
The Exact Satisfiability Threshold for a Potentially Intractible Random Constraint Satisfaction Problem
Rome, Italy
October 17-October 19
ISBN: 0-7695-2228-9
We determine the exact threshold of satisfiability for random instances of a particular NP-hard constraint satisfaction problem. The problem appears to share many of the threshold characteristics of random k-SAT for k ≥ 3; for example, we prove the problem almost surely has high resolution complexity.We also prove the analogue of the (2 + p)-SAT conjecture for a class of problems that includes this problem and XOR-SAT.
Citation:
Harold Connamacher, Michael Molloy, "The Exact Satisfiability Threshold for a Potentially Intractible Random Constraint Satisfaction Problem," focs, pp.590-599, 45th Annual IEEE Symposium on Foundations of Computer Science (FOCS'04), 2004