2002 | OriginalPaper | Chapter
The Asymptotics of Edge Colouring Multigraphs
Authors : Michael Molloy, Bruce Reed
Published in: Graph Colouring and the Probabilistic Method
Publisher: Springer Berlin Heidelberg
Included in: Professional Book Archive
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As we mentioned in Chap. 1, one of the most celebrated conjectures concerning edge colouring is the Goldberg-Seymour Conjecture which states that for any multigraph G: χe , (G) ≤ max(Δ + 1, ⌈χ e * (G)⌉).