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Fractionally colouring total graphs
Authors:K Kilakos  B Reed
Institution:(1) Dept de Mathématique et d'Informatique, Universitá du Quebéc à montréal, Canada;(2) Department of Mathematics, Carnegie Mellon University, USA
Abstract:Bchzad and Vizing have conjectured that given any simple graph of maximum degree Delta, one can colour its edges and vertices with Delta+2 colours so that no two adjacent vertices, or two incident edges, or an edge and either of its ends receive the same colour. We show that for any simple graphG, V(G)UpsiE(G) can be fractionally coloured with Delta+2 colours.
Keywords:05 C 15  05 C 70  90 C 10
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