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Lectures on Complex Networks$
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Sergey Dorogovtsev

Print publication date: 2010

Print ISBN-13: 9780199548927

Published to Oxford Scholarship Online: May 2010

DOI: 10.1093/acprof:oso/9780199548927.001.0001

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Self-organization of networks

Self-organization of networks

(p.51) 7 Self-organization of networks
Lectures on Complex Networks

Sergey N. Dorogovtsev

Oxford University Press

This chapter demonstrates how the evolution of a network shapes its complex architecture. It starts with a discussion of recursive networks, in which attachments are to nodes chosen uniformly at random, and then the preferential attachment concept is introduced. The Barabási–Albert model is discussed in detail, as well as more general models based on the preferential attachment mechanism. The emergence of scale-free complex architectures in these networks and other effects are explained. Finally, scale-free deterministic graphs are touched upon.

Keywords:   preferential attachment, Barabási–Albert model, scale-free networks, accelerated growth, condensation of edges

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