### Heuristics for the Robust Coloring Problem

Let $G$ and $\bar{G}$ be complementary graphs. Given a penalty function defined on the edges of $G$, we will say that the rigidity of a $k$-coloring of $G$ is the sum of the penalties of the edges of G joining vertices of the same color. Based on the previous definition, the Robust Coloring Problem...

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Main Authors: Gutiérrez Andrade, Miguel Ángel, Lara Velázquez, Pedro, Lopez Bracho, Rafael, Ramírez Rodríguez, Javier Artículo Español 2015 http://revistas.ucr.ac.cr/index.php/matematica/article/view/2119 http://hdl.handle.net/10669/12990
Summary: Let $G$ and $\bar{G}$ be complementary graphs. Given a penalty function defined on the edges of $G$, we will say that the rigidity of a $k$-coloring of $G$ is the sum of the penalties of the edges of G 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 $k$-coloring. 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.