Bibliographic Information

The probabilistic method

Noga Alon, Joel H. Spencer ; with an appendix on open problems by Paul Erdős

(Wiley-Interscience series in discrete mathematics and optimization)

Wiley, c1992

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"A Wiley-Interscience publication."

Includes bibliographical references (p. 245-250) and index

Description and Table of Contents

Description

This a a guide to the probabilistic method, an extremely powerful tool for solving complex problems in discrete mathematics which is recognized as a primary methodology in theoretical computer science. Improved techniques and classical methods are discussed, with applications to discrete maths, theoretical computer science, circuit complexity, coding theory and computational geometry. The book also presents the probabilistic method in action and provides a section giving new insights into already known theorems and results.

Table of Contents

METHODS. The Basic Method. Linearity of Expectation. Alterations. The Second Moment. The Local Lemma. Correlation Inequalities. Martingales. The Poisson Paradigm. Pseudo-Randomness. TOPICS. Random Graphs. Circuit Complexity. Discrepancy. Geometry. Codes and Games. Derandomization. Appendices. References. Index.

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