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 treedecompositions has brought standard methods of surface topology to bear on longstanding 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.
About Reinhard Diestel
Reinhard Diestel is Professor at the Department of Mathematics at the University of HamburgDetails Book
Author  :  Reinhard Diestel 
Publisher  :  SpringerVerlag Berlin and Heidelberg GmbH 
Data Published  :  19 July 2010 
ISBN  :  3642142788 
EAN  :  9783642142789 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  410 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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