Graph Colouring and the Probabilistic Method

Graph Colouring and the Probabilistic Method - Algorithms and Combinatorics

2002

Hardback (20 Nov 2001)

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Publisher's Synopsis

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 that a triangle free graph has a O(Delta over log Delta) colouring; algorithmic variants of the Local Lemma which permit the efficient construction of many optimal and near-optimal colourings.
This begins with a gentle introduction to the probabilistic method and will be useful to researchers and graduate students in graph theory, discrete mathematics, theoretical computer science and probability.

Book information

ISBN: 9783540421399
Publisher: Springer Berlin Heidelberg
Imprint: Springer
Pub date:
Edition: 2002
DEWEY: 514.223
DEWEY edition: 21
Language: English
Number of pages: 326
Weight: 1450g
Height: 234mm
Width: 156mm
Spine width: 20mm