Probabilistic Methods for Algorithmic Discrete Mathematics / Edition 1

Probabilistic Methods for Algorithmic Discrete Mathematics / Edition 1

by Michel Habib
     
 

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ISBN-10: 3642084265

ISBN-13: 9783642084263

Pub. Date: 12/07/2010

Publisher: Springer Berlin Heidelberg

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

Overview

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.

Product Details

ISBN-13:
9783642084263
Publisher:
Springer Berlin Heidelberg
Publication date:
12/07/2010
Series:
Algorithms and Combinatorics Series, #16
Edition description:
Softcover reprint of hardcover 1st ed. 1998
Pages:
325
Product dimensions:
6.10(w) x 9.25(h) x 0.24(d)

Table of Contents

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.

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