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Discussiones Mathematicae Graph Theory 33(3) (2013)
509-519
DOI: https://doi.org/10.7151/dmgt.1685
Fractional Q-edge-coloring of Graphs
| Július Czap
Department of Applied Mathematics and Business Informatics |
Peter Mihók
Department of Applied Mathematics and Business Informatics |
Abstract
An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let Q be an additive hereditary property of graphs. A Q-edge-coloring of a simple graph is an edge coloring in which the edges colored with the same color induce a subgraph of property Q. In this paper we present some results on fractional Q-edge-colorings. We determine the fractional Q-edge chromatic number for matroidal properties of graphs.
Keywords: fractional coloring, graph property
2010 Mathematics Subject Classification: 05C15, 05C70, 05C72.
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Received 3 November 2011
Revised 29 May 2012
Accepted 29 May 2012
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