In a bounded max-coloring of a vertex/edge weighted graph, each color class is of cardinality at most b and of weight equal to the weight of the heaviest vertex/edge in this class. The bounded max-vertex/edge-coloring problems ask for such a coloring minimizing the sum of all color classes' weights. These problems generalize the well known max-coloring problems by taking into account the number of available resources (colors) in practical applications. In this paper we present complexity results and approximation algorithms for the bounded max-coloring problems on general graphs, bipartite graphs and trees. © 2010 Springer-Verlag.
CITATION STYLE
Bampis, E., Kononov, A., Lucarelli, G., & Milis, I. (2010). Bounded max-colorings of graphs. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6506 LNCS, pp. 353–365). Springer Verlag. https://doi.org/10.1007/978-3-642-17517-6_32
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