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http://dx.doi.org/10.3745/KIPSTB.2008.15-B.6.609

Applying Genetic Algorithm to the Minimum Vertex Cover Problem  

Han, Keun-Hee (공주대학교 응용수학과)
Kim, Chan-Soo (공주대학교 응용수학과)
Abstract
Let G = (V, E) be a simple undirected graph. The Minimum Vertex Cover (MVC) problem is to find a minimum subset C of V such that for every edge, at least one of its endpoints should be included in C. Like many other graph theoretic problems this problem is also known to be NP-hard. In this paper, we propose a genetic algorithm called LeafGA for MVC problem and show the performance of the proposed algorithm by applying it to several published benchmark graphs.
Keywords
Genetic Algorithm; Graph; Minimum Vertex Cover Problem;
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