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Algorithmics for Hard Problems

Introduction to Combinatorial Optimization, Randomization, Approximation, and Heuristics

  • Juraj Hromkovič

Table of contents

  1. Front Matter
    Pages I-XIII
  2. Juraj Hromkovič
    Pages 1-9
  3. Juraj Hromkovič
    Pages 11-148
  4. Juraj Hromkovič
    Pages 149-246
  5. Juraj Hromkovič
    Pages 247-340
  6. Juraj Hromkovič
    Pages 341-429
  7. Juraj Hromkovič
    Pages 431-459
  8. Juraj Hromkovič
    Pages 461-501
  9. Back Matter
    Pages 503-538

About this book

Introduction

There are several approaches to attack hard problems. All have their merits, but also their limitations, and need a large body of theory as their basis. A number of books for each one exist: books on complexity theory, others on approximation algorithms, heuristic approaches, parametrized complexity, and yet others on randomized algorithms. This book discusses thoroughly all of the above approaches. And, amazingly, at the same time, does this in a style that makes the book accessible not only to theoreticians, but also to the non-specialist, to the student or teacher, and to the programmer. Do you think that mathematical rigor and accessibility contradict? Look at this book to find out that they do not, due to the admirable talent of the author to present his material in a clear and concise way, with the idea behind the approach spelled out explicitly, often with a revealing example.
Reading this book is a beautiful experience and I can highly recommend it to anyone interested in learning how to solve hard problems. It is not just a condensed union of material from other books. Because it discusses the different approaches in depth, it has the chance to compare them in detail, and, most importantly, to highlight under what circumstances which approach might be worth exploring. No book on a single type of solution can do that, but this book does it in an absolutely fascinating way that can serve as a pattern for theory textbooks with a high level of generality. (Peter Widmayer)
The second edition extends the part on the method of relaxation to linear programming with an emphasis on rounding, LP-duality, and primal-dual schema, and provides a self-contained and transparent presentation of the design of randomized algorithms for primality testing.

Keywords

Text algorithmics algorithms combinatorial optimization complexity programming tar

Authors and affiliations

  • Juraj Hromkovič
    • 1
  1. 1.Department of Computer Science, ETH Zürich, ETH Zentrum RZ F2Swiss Federal Institute of TechnologyZürichSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-05269-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 2004
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-07909-2
  • Online ISBN 978-3-662-05269-3
  • Series Print ISSN 1862-4499
  • Buy this book on publisher's site
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