Graph theory

Author(s)

• Diestel, Reinhard

Bibliographic Information

Graph theory

Reinhard Diestel

（Graduate texts in mathematics, 173）

Springer, 1997

• : hardcover
• : softcover

Other Title

Graphentheorie

Note

Includes index

"This book is a translation of Graphentheorie, Springer-Verlag, 1996"--T.p. verso

Description and Table of Contents

Volume

: hardcover ISBN 9780387982106

Description

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.

Table of Contents

• The basics
• matching
• connectivity
• planar graphs
• colouring
• flows
• substructures in dense graphs
• substructures in sparse graphs
• Ramsey theory for graphs
• Hamilton cycles
• random graphs
• minors, trees, and WQO.

Volume

: softcover ISBN 9780387982113

Description

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.

Table of Contents

• The basics
• matching
• connectivity
• planar graphs
• colouring
• flows
• substructures in dense graphs
• substructures in sparse graphs
• Ramsey theory for graphs
• Hamilton cycles
• random graphs
• minors, trees, and WQO.

by "Nielsen BookData"

Details

• NCID: BA31114766
• ISBN:
  • 0387982108
  • 0387982116
• LCCN: 97006932
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: ger
• Place of Publication: New York
• Pages/Volumes: xiv, 286 p.
• Size: 25 cm
• Classification:
  • NDC9 : 415.7
  • NDC8 : 415.7
  • LCC : QA166
  • DC21 : 511/.5
• Subject Headings:
  • LCSH : Graph theory
• Parent Bibliography ID:
  • BA00010074