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Graphs, Networks and Algorithms

  • Dieter Jungnickel

Part of the Algorithms and Computation in Mathematics book series (AACIM, volume 5)

Table of contents

  1. Front Matter
    Pages I-XX
  2. Dieter Jungnickel
    Pages 1-33
  3. Dieter Jungnickel
    Pages 35-63
  4. Dieter Jungnickel
    Pages 65-102
  5. Dieter Jungnickel
    Pages 103-134
  6. Dieter Jungnickel
    Pages 135-161
  7. Dieter Jungnickel
    Pages 163-218
  8. Dieter Jungnickel
    Pages 219-249
  9. Dieter Jungnickel
    Pages 251-273
  10. Dieter Jungnickel
    Pages 275-293
  11. Dieter Jungnickel
    Pages 295-358
  12. Dieter Jungnickel
    Pages 359-378
  13. Dieter Jungnickel
    Pages 379-403
  14. Dieter Jungnickel
    Pages 405-439
  15. Dieter Jungnickel
    Pages 441-479
  16. Dieter Jungnickel
    Pages 481-526
  17. Back Matter
    Pages 527-675

About this book

Introduction

From the reviews of the previous editions

".... The book is a first class textbook and seems to be indispensable for everybody who has to teach combinatorial optimization. It is very helpful for students, teachers, and researchers in this area. The author finds a striking synthesis of nice and interesting mathematical results and practical applications. ... the author pays much attention to the inclusion of well-chosen exercises. The reader does not remain helpless; solutions or at least hints are given in the appendix. Except for some small basic mathematical and algorithmic knowledge the book is self-contained. ..." K.Engel, Mathematical Reviews 2002

The substantial development effort of this text, involving multiple editions and trailing in the context of various workshops, university courses and seminar series, clearly shows through in this new edition with its clear writing, good organisation, comprehensive coverage of essential theory, and well-chosen applications. The proofs of important results and the representation of key algorithms in a Pascal-like notation allow this book to be used in a high-level undergraduate or low-level graduate course on graph theory, combinatorial optimization or computer science algorithms. The well-worked solutions to exercises are a real bonus for self study by students. The book is highly recommended. P .B. Gibbons, Zentralblatt für Mathematik 2005

Once again, the new edition has been thoroughly revised. In particular, some further material has been added: more on NP-completeness (especially on dominating sets), a section on the Gallai-Edmonds structure theory for matchings, and about a dozen additional exercises – as always, with solutions. Moreover, the section on the 1-factor theorem has been completely rewritten: it now presents a short direct proof for the more general Berge-Tutte formula. Several recent research developments are discussed and quite a few references have been added.

Keywords

algorithms complexity theory graph theory optimization

Authors and affiliations

  • Dieter Jungnickel
    • 1
  1. 1.Inst. MathematikUniversität AugsburgAugsburgGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-32278-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 2013
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-32277-8
  • Online ISBN 978-3-642-32278-5
  • Series Print ISSN 1431-1550
  • Buy this book on publisher's site
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