Evolution of Networks: From Biological Nets to the Internet and WWW

Evolution of Networks: From Biological Nets to the Internet and WWW

by S. N. Dorogovtsev
     
 

ISBN-10: 0198515901

ISBN-13: 9780198515906

Pub. Date: 03/27/2003

Publisher: Oxford University Press

"Only recently did mankind realize that it resides on a world of networks. The Internet and the World Wide Web are changing our life. Our physical existence is based on various biological networks. We have recently learned that the term ""network"" turns out to be a central notion in our time, and the onsequent explosion of interest in networks is a social and

Overview

"Only recently did mankind realize that it resides on a world of networks. The Internet and the World Wide Web are changing our life. Our physical existence is based on various biological networks. We have recently learned that the term ""network"" turns out to be a central notion in our time, and the onsequent explosion of interest in networks is a social and cultural phenomenon. The principles of the complex organization and evolution of networks, natural and artificial are the topic of this book, which is written by physicists and is addressed to all involved researchers and students. The aim of the text is to understand networks and the basic principles of their structural organization and evolution. The ideas are presneted in a clear and pedegogical way, with minimal mathematics, so even students without a deep knowledge of mathematics and statistical physics will be able to rely on this as a reference. Special attention is given to real networks, both natural and artificial. Collected empirical data and numerous real applications of existing theories are discussed in detail, as well as the topical problems of communication networks."

Product Details

ISBN-13:
9780198515906
Publisher:
Oxford University Press
Publication date:
03/27/2003
Edition description:
New Edition
Pages:
280
Product dimensions:
9.30(w) x 6.30(h) x 0.80(d)

Table of Contents

0. Modern architecture of random graphs
1. What are networks?
2. Popularity is attractive
3. Real networks
4. Equilibrium networks
5. Non-equilibrium networks
6. Global topology of networks
7. Growth of networks and self-organized criticality
8. Philosophy of a small world
A. Relations for an adjacency matrix
B. How to measure a distribution
C. Statistics of cliques
D. Power-law preference
E. Inhomogenous growing net
F. Z-transform
G. Critical phenomena in networks
H. A guide to the network literature

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