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Combinatorial Optimization

Theory and Algorithms

  • Bernhard Korte
  • Jens Vygen

Part of the Algorithms and Combinatorics book series (AC, volume 21)

Table of contents

  1. Front Matter
    Pages I-XXI
  2. Bernhard Korte, Jens Vygen
    Pages 1-13
  3. Bernhard Korte, Jens Vygen
    Pages 15-51
  4. Bernhard Korte, Jens Vygen
    Pages 53-73
  5. Bernhard Korte, Jens Vygen
    Pages 75-102
  6. Bernhard Korte, Jens Vygen
    Pages 103-132
  7. Bernhard Korte, Jens Vygen
    Pages 133-157
  8. Bernhard Korte, Jens Vygen
    Pages 159-175
  9. Bernhard Korte, Jens Vygen
    Pages 177-214
  10. Bernhard Korte, Jens Vygen
    Pages 215-244
  11. Bernhard Korte, Jens Vygen
    Pages 245-275
  12. Bernhard Korte, Jens Vygen
    Pages 277-304
  13. Bernhard Korte, Jens Vygen
    Pages 305-324
  14. Bernhard Korte, Jens Vygen
    Pages 325-357
  15. Bernhard Korte, Jens Vygen
    Pages 359-384
  16. Bernhard Korte, Jens Vygen
    Pages 385-421
  17. Bernhard Korte, Jens Vygen
    Pages 423-469
  18. Bernhard Korte, Jens Vygen
    Pages 471-487
  19. Bernhard Korte, Jens Vygen
    Pages 489-507
  20. Bernhard Korte, Jens Vygen
    Pages 509-541
  21. Bernhard Korte, Jens Vygen
    Pages 543-590
  22. Bernhard Korte, Jens Vygen
    Pages 591-628
  23. Bernhard Korte, Jens Vygen
    Pages 629-665
  24. Back Matter
    Pages 667-698

About this book

Introduction

This comprehensive textbook on combinatorial optimization places special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It is based on numerous courses on combinatorial optimization and specialized topics, mostly at graduate level. This book reviews the fundamentals, covers the classical topics (paths, flows, matching, matroids, NP-completeness, approximation algorithms) in detail, and proceeds to advanced and recent topics, some of which have not appeared in a textbook before. Throughout, it contains complete but concise proofs, and also provides numerous exercises and references.

This sixth edition has again been updated, revised, and significantly extended. Among other additions, there are new sections on shallow-light trees, submodular function maximization, smoothed analysis of the knapsack problem, the (ln 4+ɛ)-approximation for Steiner trees, and the VPN theorem. Thus, this book continues to represent the state of the art of combinatorial optimization.

From the reviews of the previous editions:

“This book on combinatorial optimization is a beautiful example of the ideal textbook.”
Operations Research Letters 33 (2005)

“This is the 5th edition of one of the standard books in combinatorial optimization. It is an excellent book covering everything from the basics up to the most advanced topics (graduate level and current research). It provides theoretical results, underlying ideas, algorithms and the needed basics in graph theory in a very nice, comprehensive way. The book also provides insights into and pointers to adjacent areas that could not be covered in full length for the interested reader. “Combinatorial Optimization” can easily serve as an (almost) complete reference for current research and is state-of-the-art. […]”
Zentralblatt MATH 1237.90001

 

Keywords

combinatorial optimization discrete algorithms mathematical programming graphs integer linear programming network flows matching matroids approximation algorithms network design traveling salesman problem facility location

Authors and affiliations

  • Bernhard Korte
    • 1
  • Jens Vygen
    • 2
  1. 1.Research Institute for Discrete MathematicsUniversity of BonnBonnGermany
  2. 2.Research Institute for Discrete MathematicsUniversity of BonnBonnGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-56039-6
  • Copyright Information Springer-Verlag GmbH Germany, part of Springer Nature 2018
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-662-56038-9
  • Online ISBN 978-3-662-56039-6
  • Series Print ISSN 0937-5511
  • Series Online ISSN 2197-6783
  • Buy this book on publisher's site
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