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New lower bounds on the weighted chromatic number of a graph

Massimiliano Caramia, Jirí Fiala (2004)

Discussiones Mathematicae Graph Theory

In this paper we present theoretical and algorithmic results for the computation of lower bounds on the chromatic number of a weighted graph. In particular, we study different ways of a possible improvement of the lower bound offered by a maximum weighted clique. Based on our findings we devise new algorithms and show their performance on random graphs.

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