Open AccessNew lower bounds on the weighted chromatic number of a graph
Author(s) -
Massimiliano Caramia,
Jiřı́ Fiala
Publication year - 2004
Publication title -
discussiones mathematicae graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.476
H-Index - 19
eISSN - 2083-5892
pISSN - 1234-3099
DOI - 10.7151/dmgt.1224
Subject(s) - mathematics , combinatorics , chromatic scale , windmill graph , graph , discrete mathematics , line graph , graph power
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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