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Random Graphs

A comprehensive guide to random graph theory and applications

Bela Bollobas author

Format:Paperback

Publisher:Cambridge University Press

Published:30th Aug '01

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Random Graphs cover

This updated edition of Random Graphs offers an in-depth exploration of random graph theory, suitable for various scientific disciplines.

In the second edition of Random Graphs, readers will find a thoroughly revised and expanded treatment of this classic text. With the inclusion of two new sections, numerous fresh results, and over 150 new references, this edition offers a comprehensive exploration of random graph theory. Originally founded by Erdös and Rényi in the late fifties, the theory seeks to estimate the number of graphs of a given degree that demonstrate specific properties. This field not only has a wealth of combinatorial applications but also provides a framework for understanding more complex random structures probabilistically.

The author, an acknowledged expert in the realm of random graphs, ensures that Random Graphs is accessible to a diverse audience, including mathematicians, computer scientists, electrical engineers, and those engaged in biomathematics. The book is designed to be self-contained, making it suitable for advanced courses as well as for self-study. Each chapter is equipped with numerous exercises, fostering a deeper understanding of the material.

This revised edition of Random Graphs stands as a significant contribution to the literature, reflecting the ongoing developments in the field. Its comprehensive nature and extensive references make it an invaluable resource for anyone looking to delve into the intricacies of random graph theory, whether for academic purposes or personal interest.

'… contains an enormous amount of material, assembled by one who has played a leading role in the development of the area.' Zentralblatt MATH
'This book, written by one of the leaders in the field, has become the bible of random graphs. This book is primarily for mathematicians interested in graph theory and combinatorics with probability and computing, but it could also be of interest to computer scientists. It is self-contained and lists numerous exercises in each chapter. As such, it is an excellent textbook for advanced courses or for self-study.' EMS
'There are many beautiful results in the theory of random graphs, and the main aim of the book is to introduce the reader and extensive account of a substantial body of methods and results from the theory of random graphs. This is a classic textbook suitable not only for mathematicians. It has clearly passed the test of time.' Internationale Mathematische Nachrichten
'… a very good and handy guidebhook for researchers.' Acta Scientiarum Mathematicarum
'The book is very impressive in the wealth of information it offers. It is bound to become a reference material on random graphs.' SIGACT News

ISBN: 9780521797221

Dimensions: 227mm x 154mm x 23mm

Weight: 860g

518 pages

2nd Revised edition