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List-colourings of graphs
Authors:B Bollobás  A J Harris
Institution:(1) Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, CB2 1SB Cambridge, England
Abstract:In this paper, we go some way towards proving a conjecture of Albertson and Tucker. Among other results, we show that ifc>11/6 and Δ is sufficiently large, then a graph of maximum degree Δ with a list of cardinality cΔ] assigned to each edge may be edge-coloured so that each edge is coloured with an element of its list.
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