Probabilistic analysis of two heuristics for the 3-satisfiability problem
SIAM Journal on Computing
Information Sciences: an International Journal
Exploiting the deep structure of constraint problems
Artificial Intelligence
Analysis of two simple heuristics on a random instance of k-SAT
Journal of Algorithms
Generating hard satisfiability problems
Artificial Intelligence - Special volume on frontiers in problem solving: phase transitions and complexity
A threshold for unsatisfiability
Journal of Computer and System Sciences
Tail bounds for occupancy and the satisfiability threshold conjecture
Random Structures & Algorithms
Approximating the unsatisfiability threshold of random formulas
Random Structures & Algorithms
A sharp threshold for k-colorability
Random Structures & Algorithms
On the satisfiability and maximum satisfiability of random 3-CNF formulas
SODA '93 Proceedings of the fourth annual ACM-SIAM Symposium on Discrete algorithms
Rigorous results for random (2 + p)-SAT
Theoretical Computer Science - Phase transitions in combinatorial problems
Lower bounds for random 3-SAT via differential equations
Theoretical Computer Science - Phase transitions in combinatorial problems
Models and thresholds for random constraint satisfaction problems
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Finite Domain Constraint Satisfaction Using Quantum Computation
MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
An Investigation of Variable Relationships in 3-SAT Problems
AI '02 Proceedings of the 15th Australian Joint Conference on Artificial Intelligence: Advances in Artificial Intelligence
Resolution Complexity of Random Constraints
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
When Ants Attack: Ant Algorithms for Constraint Satisfaction Problems
Artificial Intelligence Review
The satisfiability threshold for randomly generated binary constraint satisfaction problems
Random Structures & Algorithms
Typical case complexity of satisfiability algorithms and the threshold phenomenon
Discrete Applied Mathematics - Special issue: Typical case complexity and phase transitions
GRASP - evolution for constraint satisfaction problems
Proceedings of the 8th annual conference on Genetic and evolutionary computation
Evolving combinatorial problem instances that are difficult to solve
Evolutionary Computation
Partition search for non-binary constraint satisfaction
Information Sciences: an International Journal
Discrete Applied Mathematics
Incorporating inference into evolutionary algorithms for Max-CSP
HM'06 Proceedings of the Third international conference on Hybrid Metaheuristics
Exact thresholds for DPLL on random XOR-SAT and NP-complete extensions of XOR-SAT
Theoretical Computer Science
Challenging heuristics: evolving binary constraint satisfaction problems
Proceedings of the 14th annual conference on Genetic and evolutionary computation
Improving the performance of vector hyper-heuristics through local search
Proceedings of the 14th annual conference on Genetic and evolutionary computation
Learning vector quantization for variable ordering in constraint satisfaction problems
Pattern Recognition Letters
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In the last few years there has been a great amount of interest in Random Constraint Satisfaction Problems, both from an experimental and a theoretical point of view. Quite intriguingly, experimental results with various models for generating random CSP instances suggest that the probability of such problems having a solution exhibits a “threshold-like” behavior. In this spirit, some preliminary theoretical work has been done in analyzing these models asymptotically, i.e., as the number of variables grows. In this paper we prove that, contrary to beliefs based on experimental evidence, the models commonly used for generating random CSP instances ido not have an asymptotic threshold. In particular, we prove that asymptotically ialmost all instances they generate are overconstrained, suffering from trivial, local inconsistencies. To complement this result we present an alternative, single-parameter model for generating random CSP instances and prove that, unlike current models, it exhibits non-trivial asymptotic behavior. Moreover, for this new model we derive explicit bounds for the narrow region within which the probability of having a solution changes dramatically.