Graph Theory: Vol 173 (Graduate Texts in Mathematics) - Hardcover

Diestel, R.

Hardcover

ISBN 10: 0387982108 ISBN 13: 9780387982106

Publisher: Springer-Verlag New York Inc., 1997

Synopsis

This introduction to graph theory offers a reassessment of the theory's main fields, methods and results. 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. The work seeks to complement, not replace, the existing more algorithmic treatments of the subject. There are examples, illustrations, historical remarks and exercises at the end of each chapter. The text may be used at various levels. It contains all the standard basic material for a first undergraduate course, while it offers more proofs of several more advanced results for a graduate course. These proofs are described in as much detail as their simpler counterparts, with an informal discussion of their underlying ideas complementing their rigorous step-by-step account. Finally, for the professional mathematician the book affords an overview of graph theory, with its typical questions and methods, its classic results.

About this title

Review

"The book is written with great care... a masterly elucidation of modern graph theory, and an important contribution to the literature of the subject." Bulletin of the Inst. Combinatorics and its Applications

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

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1997
• Language: English
• ISBN 10: 0387982108
• ISBN 13: 9780387982106
• Binding: Hardcover
• Number of pages: 250