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ArticleOriginal scientific text

Title

The cost chromatic number and hypergraph parameters

Authors 1, 1

Affiliations

  1. Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende u. 13-17, Hungary

Abstract

In a graph, by definition, the weight of a (proper) coloring with positive integers is the sum of the colors. The chromatic sum is the minimum weight, taken over all the proper colorings. The minimum number of colors in a coloring of minimum weight is the cost chromatic number or strength of the graph. We derive general upper bounds for the strength, in terms of a new parameter of representations by edge intersections of hypergraphs.

Keywords

ENG
graph coloring, cost chromatic number, intersection number of a hypergraph

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Discussiones Mathematicae Graph Theory
2006/26/3
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Pages:
369-376
Main language of publication
English
Received
2005-12-01
Accepted
2006-06-19
Published
2006

DOI: 10.7151/dmgt.1329

Exact and natural sciences