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Probabilistic Methods for Algorithmic Discrete Mathematics (Algorithms and Combinatorics)
 
 
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Probabilistic Methods for Algorithmic Discrete Mathematics (Algorithms and Combinatorics) [Hardcover]

Michel Habib (Editor), Colin McDiarmid (Editor), Jorge Ramirez-Alfonsin (Editor), Bruce Reed (Editor)

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Book Description

3540646221 978-3540646228 September 18, 1998 1
The book gives an accessible account of modern probabilistic methods for analyzing combinatorial structures and algorithms. It will be an useful guide for graduate students and researchers. Special features included: a simple treatment of Talagrand's 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 exploit the structure of the underlying graph; a succinct treatment of randomized algorithms and derandomization techniques.

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From the Back Cover

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

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Inside This Book (learn more)
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Local Lemma, Monte Carlo, First Moment Method, Foundations of Computer Science, New York, Mathematical Programming, Operations Research, Las Vegas, Discrete Algorithms, Simple Concentration Bound, Academic Press, John Wiley, Lecture Notes, Cambridge University Press, Proceedings of the Cambridge Philosophical Society, Annual Symposium, Discrete Applied Mathematics, Journal of Algorithms, Technical Report, Annals of Applied Probability, Annals of Probability, Computer Society Press, Journal of Combinatorial Theory, University of California
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