# The cost chromatic number and hypergraph parameters

Discussiones Mathematicae Graph Theory (2006)

- Volume: 26, Issue: 3, page 369-376
- ISSN: 2083-5892

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topGábor Bacsó, and Zsolt Tuza. "The cost chromatic number and hypergraph parameters." Discussiones Mathematicae Graph Theory 26.3 (2006): 369-376. <http://eudml.org/doc/270537>.

@article{GáborBacsó2006,

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.},

author = {Gábor Bacsó, Zsolt Tuza},

journal = {Discussiones Mathematicae Graph Theory},

keywords = {graph coloring; cost chromatic number; intersection number of a hypergraph; graph colorings; intersection number of hypergraphs},

language = {eng},

number = {3},

pages = {369-376},

title = {The cost chromatic number and hypergraph parameters},

url = {http://eudml.org/doc/270537},

volume = {26},

year = {2006},

}

TY - JOUR

AU - Gábor Bacsó

AU - Zsolt Tuza

TI - The cost chromatic number and hypergraph parameters

JO - Discussiones Mathematicae Graph Theory

PY - 2006

VL - 26

IS - 3

SP - 369

EP - 376

AB - 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.

LA - eng

KW - graph coloring; cost chromatic number; intersection number of a hypergraph; graph colorings; intersection number of hypergraphs

UR - http://eudml.org/doc/270537

ER -

## References

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