Modern Graph Theory

Bela Bollobas (Autor)

Buch | Hardcover

410 Seiten

1998
Springer-Verlag New York Inc.
978-0-387-98491-9 (ISBN)

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This text is an in-depth account of graph theory. It reflects the current state of the subject and emphasizes connections with other branches of pure mathematics. Recognizing that graph theory is one of several courses competing for the attention of a student, the book contains 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 such as colouring, matching, extremal theory, and algebraic graph theory, the book presents an account of newer topics, including: Szemer'edi's Regularity Lemma and its use; Shelah's 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.

Erscheint lt. Verlag	30.7.1998
Reihe/Serie	Graduate Texts in Mathematics ; Vol.184
Zusatzinfo	113 figures
Verlagsort	New York, NY
Sprache	englisch
Einbandart	gebunden
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
ISBN-10	0-387-98491-7 / 0387984917
ISBN-13	978-0-387-98491-9 / 9780387984919
Zustand	Neuware