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＜電子ブック＞
Probabilistic Methods for Algorithmic Discrete Mathematics / edited by Michel Habib, Colin McDiarmid, Jorge Ramirez-Alfonsin, Bruce Reed
(Algorithms and Combinatorics. ISSN:21976783 ; 16)

版	1st ed. 1998.
出版者	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年	1998
本文言語	英語
大きさ	XVII, 325 p : online resource
著者標目	Habib, Michel editor McDiarmid, Colin editor Ramirez-Alfonsin, Jorge editor Reed, Bruce editor SpringerLink (Online service)
件　名	LCSH:Discrete mathematics LCSH:Computer science LCSH:Computer science -- Mathematics  全ての件名で検索 LCSH:Probabilities FREE:Discrete Mathematics FREE:Theory of Computation FREE:Symbolic and Algebraic Manipulation FREE:Probability Theory
一般注記	The Probabilistic Method -- Probabilistic Analysis of Algorithms -- An Overview of Randomized Algorithms -- Mathematical Foundations of the Markov Chain Monte Carlo Method -- Percolation and the Random Cluster Model: Combinatorial and Algorithmic Problems -- Concentration -- Branching Processes and Their Applications in the Analysis of Tree Structures and Tree Algorithms -- Author Index The book gives an accessible account of modern pro- babilistic methods for analyzing combinatorial structures and algorithms. Each topic is approached in a didactic manner but the most recent developments are linked to the basic ma- terial. Extensive lists of references and a detailed index will make this a useful guide for graduate students and researchers. Special features included: - a simple treatment of Talagrand inequalities and their applications - an overview and many carefully worked out examples of the probabilistic analysis of combinatorial algorithms - a discussion of the "exact simulation" algorithm (in the context of Markov Chain Monte Carlo Methods) - a general method for finding asymptotically optimal or near optimal graph colouring, showing how the probabilistic method may be fine-tuned to explit the structure of the underlying graph - a succinct treatment of randomized algorithms and derandomization techniques HTTP:URL=https://doi.org/10.1007/978-3-662-12788-9

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