Geodesic
Fractional -Edge-Coloring of Graphs
Discussiones Mathematicae. Graph Theory, Tome 33 (2013) no. 3, pp. 509-519

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An additive hereditary property of graphs is a class of simple graphs which is closed under unions, subgraphs and isomorphism. Let be an additive hereditary property of graphs. A -edge-coloring of a simple graph is an edge coloring in which the edges colored with the same color induce a subgraph of property . In this paper we present some results on fractional -edge-colorings. We determine the fractional -edge chromatic number for matroidal properties of graphs.
Keywords: fractional coloring, graph property 
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     title = {Fractional {-Edge-Coloring} of {Graphs}},
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Czap, Július; Mihók, Peter. Fractional -Edge-Coloring of Graphs. Discussiones Mathematicae. Graph Theory, Tome 33 (2013) no. 3, pp. 509-519. http://geodesic.mathdoc.fr/item/DMGT_2013_33_3_a2/