Overview
Almosttwodecadeshavepassedsincetheappearanceofthosegrapht- ory texts that still set the agenda for most introductory courses taught today. The canon created by those books has helped to identify some main?eldsofstudyandresearch,andwilldoubtlesscontinuetoin?uence the development of the discipline for some time to come. Yet much has happened in those 20 years, in graph theory no less thanelsewhere: deepnewtheoremshavebeenfound,seeminglydisparate methods and results have become interrelated, entire new branches have arisen. To name just a few such developments, one may think of how the new notion of list colouring has bridged the gulf between inva- ants such as average degree and chromatic number, how probabilistic methods andtheregularity lemmahave pervadedextremalgraphtheory and Ramsey theory, or how the entirely new ?eld of graph minors and tree-decompositions has brought standard methods of surface topology to bear on long-standing algorithmic graph problems. Clearly, then, the time has come for a reappraisal: what are, today, the essential areas, methods and results that should form the centre of an introductory graph theory course aiming to equip its audience for the most likely developments ahead? I have tried in this book to o?er material for such a course. In view of the increasing complexity and maturity of the subject, I have broken with the tradition of attempting to cover both theory and app- cations: this book o?ers an introduction to the theory of graphs as part of (pure) mathematics; it contains neither explicit algorithms nor `real world’ applications.
Full Product Details
Author: Reinhard Diestel
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition: 4th ed. 2010. Corr. 3rd printing 2012
Volume: 173
Dimensions:
Width: 15.50cm
, Height: 2.30cm
, Length: 23.50cm
Weight: 0.694kg
ISBN: 9783642142789
ISBN 10: 3642142788
Pages: 410
Publication Date: 19 July 2010
Audience:
Professional and scholarly
,
Professional & Vocational
Replaced By: 9783662536216
Format: Paperback
Publisher's Status: Out of Print
Availability: In Print
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.
Reviews
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 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) 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)
Author Information
Reinhard Diestel is Professor at the Department of Mathematics at the University of Hamburg
