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Modern Graph Theory als Buch
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Modern Graph Theory

'Graduate Texts in Mathematics'. 1st ed. 1998. Corr. 2nd printing 2002. 118 Abbildungen. Sprache: Englisch.
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An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is o... weiterlesen
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Modern Graph Theory als Buch
Produktdetails
Titel: Modern Graph Theory
Autor/en: Bela Bollobas

ISBN: 0387984887
EAN: 9780387984889
'Graduate Texts in Mathematics'.
1st ed. 1998. Corr. 2nd printing 2002.
118 Abbildungen.
Sprache: Englisch.
Springer-Verlag GmbH

Januar 1998 - kartoniert - XIV

Beschreibung

An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.

Inhaltsverzeichnis

From the contents:
- Fundamentals
- Electrical Networks
- Flows, Connectivity and Matching
- Extremal Problems
- Colouring
- Ramsey Theory
- Random Graphs
- Graphs, Groups and Matrices
- Random Walks on Graphs
- The Tutte Polynomial

Pressestimmen

"...This book is likely to become a classic, and it deserves to be on the shelf of everyone working in graph theory or even remotely related areas, from graduate student to active researcher."--MATHEMATICAL REVIEWS

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