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Diestel, Reinhard Graph Theory ISBN 13 : 9780387982113

Graph Theory - Couverture souple

 
9780387982113: Graph Theory

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.

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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

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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Diestel, Reinhard
Edité par Springer-Verlag, 1997
ISBN 10 : 0387982116 ISBN 13 : 9780387982113
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