Graph Colouring and the Probabilistic Method (Hardcover, 2002 ed.)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Series:	Algorithms and Combinatorics, 23
Release date:	November 2001
First published:	2002
Authors:	Michael Molloy • Bruce Reed
Dimensions:	235 x 155 x 20mm (L x W x T)
Format:	Hardcover
Pages:	326
Edition:	2002 ed.
ISBN-13:	978-3-540-42139-9
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Science & Mathematics > Mathematics > Combinatorics & graph theory Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Computing & IT > General theory of computing > Data structures Books > Computing & IT > Computer programming > Algorithms & procedures Books > Computing & IT > Applications of computing > General Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Promotions
LSN:	3-540-42139-4
Barcode:	9783540421399

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