Graph Theory.: Second Edition: v. 173 (Graduate Texts in Mathematics) - Hardcover

Diestel, Reinhard

Hardcover

ISBN 10: 0387950141 ISBN 13: 9780387950143

Verlag: Springer Verlag, 2000

Inhaltsangabe

Book by Diestel Reinhard

Über diesen Titel

Reseña del editor

Almost two decades after the appearance of most of the classical texts on the theory, this fresh introduction offers a reassessment of the 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. The book thus seeks to complement, not replace, the existing, more algorithmic treatments, and can be used at various levels. It contains all the standard material for a first undergraduate course, complete with detailed proofs and numerous illustrations. While, for graduates, the text offers proofs of several more advanced results, most of which appear in a book for the first time. 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. Finally, to the professional mathematician, 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 it such an exciting area in recent years.

Reseña del editor

This book is a concise - yet most carefully written - introduction to modern graph theory, 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. This second edition extends the first in two ways. It offers a thoroughly revised and updated chapter on graph minors, which now includes full new proofs of two of the central Robertson-Seymour theorems (as well as a detailed sketch of the entire proof of their celebrated Graph Minor Theorem). Secondly, there is now a section of hints for all the exercises, to enhance their value for both individual study and classroom use.

Details zur Ausgabe

• Verlag: Springer Verlag
• Erscheinungsdatum: 2000
• ISBN 10: 0387950141
• ISBN 13: 9780387950143
• Einband: Tapa dura
• Sprache: Englisch
• Anzahl der Seiten: 315