Randomization and Approximation Techniques in Computer Science
Randomization and Approximation Techniques in Computer Science

Author: Jose Rolim

Publisher: Springer Science & Business Media

Published: 1997-06-25

Total Pages: 240

ISBN-13: 9783540632481

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Astronomy is the oldest and most fundamental of the natural sciences. From the early beginnings of civilization astronomers have attempted to explain not only what the Universe is and how it works, but also how it started, how it evolved to the present day, and how it will develop in the future. The author, a well-known astronomer himself, describes the evolution of astronomical ideas, briefly discussing most of the instrumental developments. Using numerous figures to elucidate the mechanisms involved, the book starts with the astronomical ideas of the Egyptian and Mesopotamian philosophers, moves on to the Greek period, and then to the golden age of astronomy, i.e. to Copernicus, Galileo, Kepler, and Newton, and ends with modern theories of cosmology. Written with undergraduate students in mind, this book gives a fascinating survey of astronomical thinking.

Randomization and Approximation Techniques in Computer Science
Randomization and Approximation Techniques in Computer Science

Author: Jose D.P. Rolim

Publisher: Springer

Published: 2003-08-03

Total Pages: 284

ISBN-13: 3540457267

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This book constitutes the refereed proceedings of the 6th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2002, held in Cambridge, MA, USA in September 2002. The 21 revised full papers presented were carefully reviewed and selected from 48 submissions. Among the topics addressed are coding, geometric computations, graph colorings, random hypergraphs, graph computations, lattice computations, proof systems, probabilistic algorithms, derandomization, constraint satisfaction, and web graphs analysis.

Randomization and Approximation Techniques in Computer Science
Randomization and Approximation Techniques in Computer Science

Author: Michael Luby

Publisher: Springer

Published: 2003-05-20

Total Pages: 394

ISBN-13: 3540495436

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This book constitutes the refereed proceedings of the Second International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM'98, held in Barcelona, Spain, in October 1998. The 26 revised full papers presented were carefully reviewed and selected for inclusion in the proceedings. Also included are three invited contributions. Among the topics addressed are graph computation, derandomization, pattern matching, computational geometry, approximation algorithms, search algorithms, sorting, and networking algorithms.

Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques
Randomization, Approximation, and Combinatorial Optimization. Algorithms and Techniques

Author: Dorit Hochbaum

Publisher: Springer

Published: 2004-04-22

Total Pages: 297

ISBN-13: 3540484132

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This book constitutes the refereed proceedings of the Third International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM'99, held jointly with the Second International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX'99, in Berkeley, California in August 1999. The volume presents 24 revised full papers selected from 44 submissions and four invited contributions. The papers present a wealth of new results and document the state-of-the-art in the areas covered by the workshop.

Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques

Author: Sanjeev Arora

Publisher: Springer

Published: 2003-12-15

Total Pages: 418

ISBN-13: 3540451986

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This book constitutes the joint refereed proceedings of the 6th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2003 and of the 7th International Workshop on Randomization and Approximation Techniques in Computer Science, RANDOM 2003, held in Princeton, NY, USA in August 2003. The 33 revised full papers presented were carefully reviewed and selected from 74 submissions. Among the issues addressed are design and analysis of randomized and approximation algorithms, online algorithms, complexity theory, combinatorial structures, error-correcting codes, pseudorandomness, derandomization, network algorithms, random walks, Markov chains, probabilistic proof systems, computational learning, randomness in cryptography, and various applications.

Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques
Approximation, Randomization and Combinatorial Optimization: Algorithms and Techniques

Author: Michel Goemans

Publisher: Springer

Published: 2003-05-15

Total Pages: 314

ISBN-13: 3540446664

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This book constitutes the joint refereed proceedings of the 4th International Workshop on Approximation Algorithms for Optimization Problems, APPROX 2001 and of the 5th International Workshop on Ranomization and Approximation Techniques in Computer Science, RANDOM 2001, held in Berkeley, California, USA in August 2001. The 26 revised full papers presented were carefully reviewed and selected from a total of 54 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, on-line problems, randomization, de-randomization, average-case analysis, approximation classes, randomized complexity theory, scheduling, routing, coloring, partitioning, packing, covering, computational geometry, network design, and applications in various fields.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques
Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Author: Klaus Jansen

Publisher: Springer

Published: 2004-10-20

Total Pages: 436

ISBN-13: 3540278214

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This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Probability and Computing
Probability and Computing

Author: Michael Mitzenmacher

Publisher: Cambridge University Press

Published: 2005-01-31

Total Pages: 372

ISBN-13: 9780521835404

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Randomization and probabilistic techniques play an important role in modern computer science, with applications ranging from combinatorial optimization and machine learning to communication networks and secure protocols. This 2005 textbook is designed to accompany a one- or two-semester course for advanced undergraduates or beginning graduate students in computer science and applied mathematics. It gives an excellent introduction to the probabilistic techniques and paradigms used in the development of probabilistic algorithms and analyses. It assumes only an elementary background in discrete mathematics and gives a rigorous yet accessible treatment of the material, with numerous examples and applications. The first half of the book covers core material, including random sampling, expectations, Markov's inequality, Chevyshev's inequality, Chernoff bounds, the probabilistic method and Markov chains. The second half covers more advanced topics such as continuous probability, applications of limited independence, entropy, Markov chain Monte Carlo methods and balanced allocations. With its comprehensive selection of topics, along with many examples and exercises, this book is an indispensable teaching tool.