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  • Textbook
  • Nov 2010

Graph Theory

  • By the authors of the classic text, Graph Theory with Applications
  • Serves as both a textbook and an introduction to graph theory research, suitable for both mathematicians and computer scientists
  • Features many new exercises of varying levels of difficulty to help the reader master the techniques
  • An accompanying website/blog at blogs.springer.com/bondyandmurty provides a forum for further discussion and a wealth of supplementary material
  • Includes supplementary material: sn.pub/extras

Part of the book series: Graduate Texts in Mathematics (GTM, volume 244)

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Table of contents (21 chapters)

  1. Front Matter

    Pages I-XII
  2. Graphs

    Pages 1-37
  3. Subgraphs

    Pages 39-77
  4. Connected Graphs

    Pages 79-98
  5. Trees

    Pages 99-115
  6. Nonseparable Graphs

    Pages 117-133
  7. Tree-Search Algorithms

    Pages 135-156
  8. Flows in Networks

    Pages 157-172
  9. Complexity of Algorithms

    Pages 173-204
  10. Connectivity

    Pages 205-241
  11. Planar Graphs

    Pages 243-285
  12. The Four-Colour Problem

    Pages 287-294
  13. Stable Sets and Cliques

    Pages 295-327
  14. The Probabilistic Method

    Pages 329-356
  15. Vertex Colourings

    Pages 357-390
  16. Colourings of Maps

    Pages 391-411
  17. Matchings

    Pages 413-450
  18. Edge Colourings

    Pages 451-470
  19. Hamilton Cycles

    Pages 471-502

About this book

Graph theory is a flourishing discipline containing a body of beautiful and powerful theorems of wide applicability. Its explosive growth in recent years is mainly due to its role as an essential structure underpinning modern applied mathematics – computer science, combinatorial optimization, and operations research in particular – but also to its increasing application in the more applied sciences. The versatility of graphs makes them indispensable tools in the design and analysis of communication networks, for instance.

The primary aim of this book is to present a coherent introduction to the subject, suitable as a textbook for advanced undergraduate and beginning graduate students in mathematics and computer science. It provides a systematic treatment of the theory of graphs without sacrificing its intuitive and aesthetic appeal. Commonly used proof techniques are described and illustrated, and a wealth of exercises - of varying levels of difficulty - are provided tohelp the reader master the techniques and reinforce their grasp of the material.

A second objective is to serve as an introduction to research in graph theory. To this end, sections on more advanced topics are included, and a number of interesting and challenging open problems are highlighted and discussed in some detail. Despite this more advanced material, the book has been organized in such a way that an introductory course on graph theory can be based on the first few sections of selected chapters.

Authors and Affiliations

  • Université Claude-Bernard Lyon, 69366, France

    J. A. Bondy

  • University of Waterloo, N2L 3G1, Waterloo, Canada

    U. S. R. Murty

About the authors

 

Bibliographic Information

Buy it now

Buying options

Softcover Book USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 69.95
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access