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by Reinhard Diestel
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From the reviews of the third edition:
Graph Theory is a very well-written book, now in its third edition and the recipient of the according evolutionary benefits. It succeeds dramatically in its aims, which Diestel gives as "[providing] a reliable first introduction to graph theory that can be used for personal study or as a course text, [and] a graduate text that offers some depth in selected areas." ... Even the pictures and drawings are nice. This is a hell of a good book!
"This book covers all of the central topics of modern graph theory. … it is strongly recommended as a textbook for graduate students in mathematics. It would also be welcomed by more advanced readers who wish to quickly obtain deeper knowledge … . The book is written very carefully and in clear style. … At the end of each chapter, there is a section with a set of challenging problems and some historical and bibliographical notes that bring benefit to readers with deeper interest." (Gabriel Semanisin, Mathematical Reviews, Issue 2006 e)
The third edition of this highly successful textbook has been carefully revised and updated, and includes a new chapter on infinite graphs. The book covers all major, recent developments, and can be used both as a reliable textbook for an introductory course and as a graduate text: on each topic it covers all the basic material in full detail, and adds one or two deeper results (again with detailed proofs) to illustrate the more advanced methods of that field.
From the reviews of the first two editions (1997, 2000):
"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 Mathematicarum
"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
"A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors."
". . . like listening to someone explain mathematics."
Bulletin of the AMS
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