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Revista de Matemática Teoría y Aplicaciones
Print version ISSN 1409-2433
Abstract
GUTIERREZ-ANDRADE, Miguel Ángel; LARA-VELAZQUEZ, Pedro; LOPEZ-BRACHO, Rafael and RAMIREZ-RODRIGUEZ, Javier. Heuristics for the robust coloring problem. Rev. Mat [online]. 2011, vol.18, n.1, pp.137-139. ISSN 1409-2433.
Let G and Ḡ be complementary graphs. Given a penalty function defined on the edges of Ḡ, we will say that the rigidity of a k-coloring of G is the sum of the penalties of the edges of Ḡ joining vertices of the same color. Based on the previous definition, the Robust Coloring Problem (RCP) is stated as the search of the minimum rigidity kcoloring. In this work a comparison of heuristics based on simulated annealing, GRASP and scatter search is presented. These are the best results for the RCP that have been obtained.
Keywords : graph coloring; robust coloring; heuristics.