Modern Graph Theory: Vol 184 - Rilegato

Bollobas, Bela

Rilegato

ISBN 10: 0387984917 ISBN 13: 9780387984919

Casa editrice: Springer Verlag, 1998

Riassunto

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.

Su questo libro

Recensione:

"...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

Contenuti:

1: Fundamentals. 2: Electrical Networks. 3: Flows, Connectivity and Matching. 4: Extremal Problems. 5: Colouring. 6: Ramsey Theory. 7: Random Graphs. 8: Graphs, Groups and Matrices. 9: Random Walks on Graphs. 10: The Tutte Polynomial.

Su questa edizione

• Editore: Springer Verlag
• Data di pubblicazione: 1998
• ISBN 10: 0387984917
• ISBN 13: 9780387984919
• Rilegatura: Copertina rigida
• Numero di pagine: 394