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

Paperback | December 14, 2013

byS. N. Dorogovtsev, J.F.F. Mendes

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We live in a world of networks, where everything is amazingly close to everything else. The notion of "network" turns out to be central to our times: the Internet and WWW are changing our lives; our physical existence is based on various biological networks; we are involved in all-envelopingnetworks of economic and social relations. Only in the 1990s did physicists begin to explore real networks, both natural and artificial, as evolving systems with intriguingly complex and effective architectures. Progress has been so immediate and astounding that we actually face a new science based on a new set of concepts, and, one may evensay, on a new philosophy: the natural philosophy of a small world. Old ideas from mathematics, statistical physics, biology, computer science, and so on take on quite new forms in applications to real evolving networks. * What is common to all networks?* What are the general principles of the organization and evolution of networks?* How do the laws of nature work in communication, biological, and social networks?* What are networks?This book, written by physicists, answers these questions and presents a general insight into the world of networks.

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We live in a world of networks, where everything is amazingly close to everything else. The notion of "network" turns out to be central to our times: the Internet and WWW are changing our lives; our physical existence is based on various biological networks; we are involved in all-envelopingnetworks of economic and social relations. On...

S. N. Dorogovtsev is in the Physics Department of the University of Aveiro, Laboratory of Physics at the Helsinki University of Technology, A.F. Ioffe Physico-Technical Institute, St Petersburg. J. F. F. Mendes is Professor of Physics at the University of Aveiro, Portugal.

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Format:PaperbackDimensions:280 pagesPublished:December 14, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0199686718

ISBN - 13:9780199686711

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Table of Contents

Modern architecture of random graphs1. What are networks?2. Popularity is attractive3. Real networks4. Equilibrium networks5. Non-equilibrium networks6. Global topology of networks7. Growth of networks and self-organized criticality8. Philosophy of a small worldA. Relations for an adjacency matrixB. How to measure a distributionC. Statistics of cliquesD. Power-law preferenceE. Inhomogenous growing netF. Z-transformG. Critical phenomena in networksH. A guide to the network literature

Editorial Reviews

"Evolution of Networks offers an excellent foundation from which the fast-paced field can be approached with confidence. It would be an excellent addition to the bookshelf of anyone interested in networks." --Physics Today