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RANDOM GRAPHS 2E
Título:
RANDOM GRAPHS 2E
Subtítulo:
Autor:
BOLLOBAS, B
Editorial:
CAMBRIDGE UNIVERSITY PRESS
Año de edición:
2001
ISBN:
978-0-521-79722-1
Páginas:
518
93,50 €

 

Sinopsis

In this second edition of the now classic text, the already extensive treatment given in the first edition has been heavily revised by the author. The addition of two new sections, numerous new results and 150 references means that this represents a comprehensive account of random graph theory. The theory (founded by Erdös and Rényi in the late fifties) aims to estimate the number of graphs of a given degree that exhibit certain properties. It not only has numerous combinatorial applications, but also serves as a model for the probabilistic treatment of more complicated random structures. This book, written by an acknowledged expert in the field, can be used by mathematicians, computer scientists and electrical engineers, as well as people working in biomathematics. It is self-contained, and with numerous exercises in each chapter, is ideal for advanced courses or self study.
New edition of classic text
New sections and numerous additions bring the book right up to date
Subject with wide appeal will be useful for mathematicians, computer scientists, electrical engineers and biomathematicians



Table of Contents

1. Probability theoretic preliminaries
2. Models of random graphs
3. The degree sequence
4. Small subgraphs
5. The evolution of random graphs - sparse components
6. The evolution of random graphs-the giant component
7. Connectivity and components
8. Long paths and cycles
9. The automorphism group
10. The diameter
11. Cliques, independent sets and colouring
12. Ramsey theory
13. Explicit constructions
14. Sequences, matrices and permutations
15. Sorting algorithms
16. Random graphs of small order.