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# Evolutionary algorithms and the Vertex Cover problem

@article{Oliveto2007EvolutionaryAA, title={Evolutionary algorithms and the Vertex Cover problem}, author={Pietro Simone Oliveto and Jun He and Xin Yao}, journal={2007 IEEE Congress on Evolutionary Computation}, year={2007}, pages={1870-1877} }

- Published 2007 in 2007 IEEE Congress on Evolutionary Computation
DOI:10.1109/CEC.2007.4424701

Experimental results have suggested that evolutionary algorithms may produce higher quality solutions for instances of vertex cover than a very well known approximation algorithm for this NP-complete problem. A theoretical analysis of the expected runtime of the (1+1)-EA on a well studied instance class confirms such a conjecture for the considered class. Furthermore, a class for which the (1+1)-EA takes exponential optimization time is examined. Nevertheless, given polynomial time, theâ€¦Â CONTINUE READING

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