Efficient probabilistically checkable proofs and applications to approximations
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
A tight analysis of the greedy algorithm for set cover
STOC '96 Proceedings of the twenty-eighth annual ACM symposium on Theory of computing
STOC '97 Proceedings of the twenty-ninth annual ACM symposium on Theory of computing
A threshold of ln n for approximating set cover
Journal of the ACM (JACM)
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
A Superior Evolutionary Algorithm for 3-SAT
EP '98 Proceedings of the 7th International Conference on Evolutionary Programming VII
Approximation algorithms for combinatorial problems
Journal of Computer and System Sciences
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In this paper, we will introduce an evolutionary algorithm for finding approximate solutions to the Weighted Minimum Hitting Set Problem. The proposed genetic algorithm, denoted by HEAT-V, makes use of a newly defined concept of virus. We will test its performance against a well known and efficient greedy algorithm, and on several families of sets.