Graph Theory (Graduate Texts in Mathematics) by Reinhard Diestel (PDF)

Description

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.

User’s Reviews

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 About the Author Reinhard Diestel is Professor at the Department of Mathematics at the University of Hamburg Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐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.

⭐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.

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

⭐I ordered the book “Graph Theory” (Graduate Texts in Mathematics) by Reinhard Diestel.It arrived ahead of schedule and in perfect condition; brand new as described. I am of course extremely satisfied with my purchase.

⭐I am using it for teaching my graph theory course!

⭐Very condensed. Takes time to read. Undergrads be scared.

⭐springer verlag always keep their own level

⭐I was looking at this book as a supplement for my Algorithms class. Found the book for $20 twentydollars on the iBooks/itunes store. $40 is a decent size gap, and if it’s a mistake, then better take advantage of it. Or just read the free online version.

⭐as good as expected

⭐Graph Theory de Reinhard Diestel chez Springer est un classique et mérite cette réputation. Il est à la fois agréable à lire (ce qui est difficile, en mathématiques…), complet et sérieux. Il a le mérite de donner la plupart des démonstrations en détail.On regrette juste quelques petites imprécisions ici ou là : par exemple, la définition d’un graphe page 2 élude le cas des graphes à boucles ou à arêtes multiples entre deux sommets.Je ne comprends pas trop qu’un tel ouvrage de référence n’existe pas en français (cela étant dit, ce n’est pas d’une lecture difficile en anglais).This review is not about the quality of the content, which is great, but about the print/book itself.First of all, the print is awful. It’s not really black on white, but rather some grey on white. You can read everything but it is not pleasant to read, especially if you read longer. Secondly, the book just broke in half after about a month of usage. I don’t expect a paperback to last a 100 years, but clearly more than a month for a book that cost more than 50 Euros. Overall, the quality is unacceptable for a book of that price.Apparently Amazon has some contract with Springer that they can print the book themselves, which is probably the reason for this bad outcome.If you can just buy it on Springer directly and you will most likely be happier.

⭐Ir you are interested in Graph Theory, It’s without doubt a “must have” in your bookshelf

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