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Graph Colouring & the Probabilistic Method

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Graph Colouring and the Probabilistic Method - Molloy, Michael, and Reed, Bruce
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Over the past decade, many major advances have been made in the field of graph colouring via the probabilistic method. This monograph provides an accessible and unified treatment of these results, using tools such as the Lovasz Local Lemma and Talagrand's concentration inequality. The topics covered include: Kahn's proofs that the Goldberg-Seymour and List Colouring Conjectures hold asymptotically; a proof that for some absolute constant C, every graph of maximum degree Delta has a Delta+C total colouring; Johansson's proof ...

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Graph Colouring and the Probabilistic Method 2002, Springer

ISBN-13: 9783642040153

Trade paperback

Graph Colouring and the Probabilistic Method 2001, Springer, Berlin, Heidelberg

ISBN-13: 9783540421399

2002 edition

Hardcover