Design and Analysis of Randomized Algorithms: Introduction to Design Paradigms

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Springer Science & Business Media, Jun 14, 2005 - Computers - 277 pages

Randomness is a powerful phenomenon that can be harnessed to solve various problems in all areas of computer science. Randomized algorithms are often more efficient, simpler and, surprisingly, also more reliable than their deterministic counterparts. Computing tasks exist that require billions of years of computer work when solved using the fastest known deterministic algorithms, but they can be solved using randomized algorithms in a few minutes with negligible error probabilities.

Introducing the fascinating world of randomness, this book systematically teaches the main algorithm design paradigms – foiling an adversary, abundance of witnesses, fingerprinting, amplification, and random sampling, etc. – while also providing a deep insight into the nature of success in randomization. Taking sufficient time to present motivations and to develop the reader's intuition, while being rigorous throughout, this text is a very effective and efficient introduction to this exciting field.

 

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Contents

Contents
1
Fundamentals 19
18
Foiling the Adversary
101
Fingerprinting 131
130
Success Amplification and Random Sampling
153
Abundance of Witnesses
183
Optimization and Random Rounding 209
208
A Fundamentals of Mathematics
227
References
267
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