Probabilistic methods for algorithmic discrete mathematics pdf


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Probabilistic methods for algorithmic discrete mathematics pdf

Probabilistic methods for algorithmic discrete mathematics pdf : Pages 344

By Michel Habib, Colin McDiarmid, Jorge Ramirez-Alfonsin, Bruce Reed

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.

(Algorithms and Combinatorics) Michel Habib, Colin McDiarmid, Jorge Ramirez-Alfonsin, Bruce Reed – Probabilistic methods for algorithmic discrete mathematics-Springer (1998)


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