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Graph Theory (Graduate Texts in Mathematics) 5th ed. 2017 Edition
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From the Back Cover
This standard textbook of modern graph theory, now in its fifth 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
“Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity. ”Persi Diaconis & Ron Graham, SIAM Review
“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
Top Customer Reviews
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.
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 believe things could be simplified a bit here and there and the notation is a bit dense.
It arrived ahead of schedule and in perfect condition; brand new as described. I am of course extremely satisfied with my purchase.
There is a useful commentary on the references at the end of each chapter.