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

Diestel, R.

Softcover

ISBN 10: 0387982116 ISBN 13: 9780387982113

Publisher: Springer-Verlag New York Inc., 1997

Synopsis

This introduction to graph theory offers a reassessment of what are 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 book thus seeks to complement, not replace, the existing more algorithmic treatments of the subject. Graph theory can be used at various different levels. The book contains all the standard basic material to be taught in a first undergraduate course, complete with detailed proofs and numerous illustrations. To help with the planning of such a course, it includes precise information on the logical dependence of results. For a graduate course, the book offers proofs of several more advanced results. These proofs are described with as much care and detail as their simpler counterparts, often with an informal discussion of their underlying ideas complementing their rigorous step-by-step account. To the professional mathematician, finally, the book affords an overview of graph theory as it stands at the present: with its typical questions and methods, its classic results, and some of those developments that have occured in this subject.

About this title

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

Edition details

• Publisher: Springer-Verlag New York Inc.
• Publication date: 1997
• ISBN 10: 0387982116
• ISBN 13: 9780387982113
• Binding: Paperback
• Language: English
• Number of pages: 250