GRADUATE TEXTS IN MATHEMATICS GRAPH THEORY - Couverture rigide

Diestel, Reinhard

Couverture rigide

ISBN 10 : 0387982108 ISBN 13 : 9780387982106

Editeur : 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.

A propos du livre

Présentation de l'éditeur

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. electronic edition: diestel-graph-theory.com 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 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 "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

Biographie de l'auteur

Reinhard Diestel is Professor at the Department of Mathematics at the University of Hamburg

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 1997
• Langue: anglais
• ISBN 10: 0387982108
• ISBN 13: 9780387982106
• Reliure: Relié
• Nombre de pages: 250
• Coordonnées du fabricant: non disponible