Graph Theory (Graduate Texts in Mathematics, Band 173)

Diestel, Reinhard

ISBN 10: 3662575604 / ISBN 13: 9783662575604

Verlag: Springer, 2018

Beschreibung

Gut/Very good: Buch bzw. Schutzumschlag mit wenigen Gebrauchsspuren an Einband, Schutzumschlag oder Seiten. / Describes a book or dust jacket that does show some signs of wear on either the binding, dust jacket or pages.

Bestandsnummer des Verkäufers M03662575604-V

Bibliografische Details

• Titel: Graph Theory (Graduate Texts in Mathematics, Band 173)
• Verlag: Springer
• Veröffentlichungsdatum: 2018
• Sprache: Englisch
• ISBN-10: 3662575604
• ISBN-13: 9783662575604
• Bindung: Softcover
• Ausgabe: 5. oder spätere Auflage
• Zustand: very good

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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