Graph Theory (Graduate Texts in Mathematics) 5th ed. 2010. Corr. 3rd printing 2012 Edition

by Reinhard Diestel (Author)

14 customer reviews

ISBN-13: 978-3642142789

ISBN-10: 3642142788

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Almosttwodecadeshavepassedsincetheappearanceofthosegrapht- ory texts that still set the agenda for most introductory courses taught today. The canon created by those books has helped to identify some main?eldsofstudyandresearch,andwilldoubtlesscontinuetoin?uence the development of the discipline for some time to come. Yet much has happened in those 20 years, in graph theory no less thanelsewhere: deepnewtheoremshavebeenfound,seeminglydisparate methods and results have become interrelated, entire new branches have arisen. To name just a few such developments, one may think of how the new notion of list colouring has bridged the gulf between inva- ants such as average degree and chromatic number, how probabilistic methods andtheregularity lemmahave pervadedextremalgraphtheory and Ramsey theory, or how the entirely new ?eld of graph minors and tree-decompositions has brought standard methods of surface topology to bear on long-standing algorithmic graph problems. Clearly, then, the time has come for a reappraisal: what are, today, the essential areas, methods and results that should form the centre of an introductory graph theory course aiming to equip its audience for the most likely developments ahead? I have tried in this book to o?er material for such a course. In view of the increasing complexity and maturity of the subject, I have broken with the tradition of attempting to cover both theory and app- cations: this book o?ers an introduction to the theory of graphs as part of (pure) mathematics; it contains neither explicit algorithms nor ‘real world’ applications.

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Editorial Reviews

Review

From the reviews of the fourth edition:

“This is the fourth edition of this interesting graph theory textbook. … The author marked paragraphs recommended for a first course and also some exercises. At the end of each chapter there are notes for further studying the topic. At the end of the book there are the Appendices … and also hints for all the exercises. On its 436 pages the book touches upon many research topics in modern graph theory.” (Ferdinand Gliviak, Zentralblatt MATH, Vol. 1204, 2011)

From the Back Cover

This standard textbook of modern graph theory, now in its fourth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. From the reviews: This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory." Acta Scientiarum Mathematiciarum "The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory." Bulletin of the Institute of Combinatorics and its Applications "Succeeds dramatically ... a hell of a good book." MAA Reviews "A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors." Mathematika " ... like listening to someone explain mathematics." Bulletin of the AMS

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Product details

Series: Graduate Texts in Mathematics (Book 173)
Paperback: 410 pages
Publisher: Springer; 5th ed. 2010. Corr. 3rd printing 2012 edition (October 31, 2010)
Language: English
ISBN-10: 3642142788
ISBN-13: 978-3642142789
Product Dimensions: 6.1 x 1 x 9.2 inches
Shipping Weight: 1.8 pounds
Average Customer Review: 14 customer reviews
Amazon Best Sellers Rank: #1,205,723 in Books (See Top 100 in Books)
- #184 in Books > Science & Math > Mathematics > Applied > Graph Theory
- #234 in Books > Science & Math > Mathematics > Pure Mathematics > Combinatorics
- #1041 in Books > Computers & Technology > Databases & Big Data > Data Processing

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Nicolas.Bernard.Leclercq

Review from a non-rigorous reading

May 3, 2017

Format: PaperbackVerified Purchase

I read this book outside of a course, without any pressures, because I'm interested in Systems Science (which often uses Graph Theory).
I've also never read a GTM book before, so though I'd see what it was like.

The writing is clear. Each chapter is well introduced, the notes at the end are very helpful, being separate means that they don't interfere with the reasoning, but the background rounds out the material very well.
The progression from one chapter to the next is clear and made sense to me.
The marginalia referring to other theorems, lemma, and conjectures is very helpful. The index and list of characters was also very helpful.

Although this was a casual reading, I often found myself, reading one chapter, and having aha moments about something in the previous chapter(s), going back, sketching on paper or on a white board. Overall, even with my limited background in mathematics, I really enjoyed reading this work.

4 people found this helpful

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J. Patrick Dolan III

Excellent Exposition of Graph Theory

April 20, 2018

Format: HardcoverVerified Purchase

This is a very clear and concise book. It is beautifully written, but it is also very dense, so it takes some patience to fully comprehend some of the material.

One person found this helpful

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Edwin A.

Damaged Book on the binding

August 24, 2018

Format: HardcoverVerified Purchase

It was already damaged when I open the package yesterday when it was also delivered.

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SANAT KUMAR PANDEY

Good graduate textbook

October 3, 2013

Format: PaperbackVerified Purchase

The material covered is comprehensive and can be a good reference or text book.
Quite often proofs skip step and readers are required to fill in the details, so beginners may find it an uphill task but after first few chapters will enjoy it.

2 people found this helpful

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Hoa Vu

I think the material is good. I believe things could be simplified a bit ...

December 8, 2015

Format: PaperbackVerified Purchase

I think the material is good.

I believe things could be simplified a bit here and there and the notation is a bit dense.

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Amazon Customer

Five Stars