Graph Colouring and the Probabilistic Method. free ebook download.

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Graph Colouring and the Probabilistic Method. free ebook download

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Mathematics

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Author(s):	Michael Molloy

Date:	2002	Format:	PDF	Language:	English	ISBN/ASIN:	3642040152
Pages:	1	OCR:		Quality:		ISBN13:
Uploader:	eternal	Upload Date:	8/1/2019 7:38:46 PM

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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 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.
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	Title	Link	Password	Size (MB)	Thank to	Inform Admin
2551514	Book	http://k2s.cc/file/22d2c1c29740b...		31.42	eternal

Tags: Colouring Graph Method Probabilistic

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