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Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties / Edition 1

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Overview

In the last ten years the area concerned with the design of approximation algorithms and with the study of the approximability properties of NP-hard combinatorial optimization problems has been one of the most active in computer science, and its scientific developments have considerably enriched our understanding of problem complexity and our ability to cope with difficult applications." "This textbook features a compendium documenting the results on the approximability of more than 200 problems; thus the book is also a source of reference for professionals applying advanced optimization and approximation techniques in practice. The CD-ROM included contains a lot of valuable information, such as lecture slides in various data formats, the compendium in electronic version, and the algorithms visualization toolkit JAZ.
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Product Details

  • ISBN-13: 9783540654315
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 2/1/2003
  • Edition description: 1st ed. 1999. Corr. 2nd printing 2002
  • Edition number: 1
  • Pages: 524
  • Product dimensions: 8.07 (w) x 9.77 (h) x 1.48 (d)

Table of Contents

1 The Complexity of Optimization Problems 1
2 Design Techniques for Approximation Algorithms 39
3 Approximation Classes 87
4 Input-Dependent and Asymptotic Approximation 123
5 Approximation through Randomization 153
6 NP, PCP and Non-approximability Results 175
7 The PCP theorem 207
8 Approximation Preserving Reductions 253
9 Probabilistic analysis of approximation algorithms 287
10 Heuristic methods 321
A Mathematical preliminaries 353
B A List of NP Optimization Problems 367
Bibliography 471
Index 515
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