Probabilistic Methods for Algorithmic Discrete Mathematics (Algorithms and Combinatorics) - Habib, Michel

Probabilistic Methods for Algorithmic Discrete Mathematics (Algorithms and Combinatorics)

Michel Habib

Yayınevi: Springer

Yayın tarihi: 08/2010

ISBN: 9783642084263

İngilizce | 340 Sayfa | 15,39x23,39x2,21 cm.

Tür: Matematik-İstatistik

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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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