Graph Theory, 4th Edition (Graduate Texts in Mathematics)

Almost two decades after the appearance of most of the classical texts on the subject, this fresh introduction to Graph Theory offers a reassessment of what are the theory's main fields, methods and results today. Viewed as a branch of pure mathematics, the theory of finite graphs is developed as a coherent subject in its own right, with its own unifying questions and methods. Graph Theory can be used at various different levels. It contains all the standard basic material to be taught in a first undergraduate course, complete with detailed proofs and numerous illustrations. For a graduate course, the book offers proofs of several more advanced results, most of which thus appear in a book for the first time. These proofs are described with as much care and detail as their simpler counterparts. To the professional mathematician, finally, the book affords an overview of graph theory as it stands today: with its typical questions and methods, its classic results, and some of those developments that have made this subject such an exciting area in recent years.

The fourth edition of this standard textbook of modern graph theory has been carefully revised, updated, and substantially extended. Covering all its major recent developments it 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.

Title Graph Theory, 4th Edition (Graduate Texts in Mathematics)
Authors Reinhard Diestel
Publisher: Springer; 4th Edition. edition (October 31, 2010)
Paperback: 428 pages
Language: English
ISBN-10: 3642142788
ISBN-13: 978-3642142789
eBook: http://diestel-graph-theory.com/index.html