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
     
 

Theoretical physicists Dorogovtsev (Ioffe Institute, St. Petersburg) and Mendes (U. of Porto and U. of Aveiro) introduce the basic principles of the structural organization and evolution of networks. They address researchers from any field concerned with networks, and students who may lack a deep knowledge of mathematics and statistical physics. The topics include… See more details below

Overview

Theoretical physicists Dorogovtsev (Ioffe Institute, St. Petersburg) and Mendes (U. of Porto and U. of Aveiro) introduce the basic principles of the structural organization and evolution of networks. They address researchers from any field concerned with networks, and students who may lack a deep knowledge of mathematics and statistical physics. The topics include the nature of networks; their growth by preferential and non-preferential attachment; real, equilibrium, and non-equilibrium networks; their global topology; their self-organized criticality; and implications of the recognition of networks for science and society. Annotation ©2003 Book News, Inc., Portland, OR

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

Modern architecture of random graphs1
1What are networks?6
2Popularity is attractive25
3Real networks31
4Equilibrium networks84
5Non-equilibrium networks112
6Global topology of networks161
7Growth of networks and self-organized criticality212
8Philosophy of a small world219
ARelations for an adjacency matrix221
BHow to measure a distribution222
CStatistics of cliques224
DPower-law preference226
EInhomogeneous growing net228
FZ-transform230
GCritical phenomena in networks232
HA guide to the network literature237
References241
Index263

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