Friday, July 23, 2010 |
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Edge colouring multigraphs |
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We highlight a technique for studying edge colourings of multigraphs,
due to Tashkinov. This method is a sophisticated generalisation of
the method of alternating paths, and builds upon earlier work by
Kierstead and Goldberg. In particular we show how to apply it to a
number of edge colouring problems, including the question of whether
the class of multigraphs that attain equality in Vizing's classical
bound can be characterised. |