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Randomized Algorithms

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This book presents basic tools from probability theory used in algorithmic applications, with concrete examples.
For many applications a randomized algorithm is either the simplest algorithm available, or the fastest, or both. This tutorial presents the basic concepts in the design and analysis of randomized algorithms. The first part of the book presents tools from probability theory and probabilistic analysis that are recurrent in algorithmic applications. Algorithmic examples are given to illustrate the use of each tool in a concrete setting. In the second part of the book, each of the seven chapters focuses on one important area of application of randomized algorithms: data structures; geometric algorithms; graph algorithms; number theory; enumeration; parallel algorithms; and on-line algorithms. A comprehensive and representative selection of the algorithms in these areas is also given. This first book on the subject should prove invaluable as a reference for researchers and professional programmers, as well as for students.

Inhaltsverzeichnis

Part I. Tools and Techniques: 1. Introduction; 2. Game-theoretic techniques; 3. Moments and deviations; 4. Tail inequalities; 5. The probabilistic method; 6. Markov chains and random walks; 7. Algebraic techniques; Part II. Applications: 8. Data structures; 9. Geometric algorithms and linear programming; 10. Graph algorithms; 11. Approximate counting; 12. Parallel and distributed algorithms; 13. Online algorithms; 14. Number theory and algebra; Appendix A: notational index; Appendix B: mathematical background; Appendix C: basic probability theory.

Produktdetails

Erscheinungsdatum
01. August 1995
Sprache
englisch
Seitenanzahl
496
Autor/Autorin
Rajeev Motwani, Prabhakar Raghavan
Produktart
gebunden
Gewicht
1119 g
Größe (L/B/H)
260/183/31 mm
ISBN
9780521474658

Portrait

Rajeev Motwani

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Pressestimmen

'The techniques described by Rajeev Motwani and Prabhaker Raghavan are wide-ranging and powerful, so this book is an important one. As far as I have been able to find out this is the only book on the entire subject . . . this excellent volume does us proud!' American Scientist

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Rajeev Motwani, Prabhakar Raghavan: Randomized Algorithms bei hugendubel.de. Online bestellen oder in der Filiale abholen.