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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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Correlations in networks

Correlations in networks

Chapter:
(p.61) 8 Correlations in networks
Source:
Lectures on Complex Networks
Author(s):

Sergey N. Dorogovtsev

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199548927.003.0008

This chapter discusses the simplest correlations in complex networks and explains their nature. It focuses on the correlations between the degrees of the nearest neighbours. The inevitable presence of structural correlations in non-equilibrium networks is explained by using simple examples of growing networks. The characteristics of these correlations and their kinds (assortative and disassortative) are described. Some consequences of these correlations are indicated and relations between the degree—degree correlations and clustering are discussed.

Keywords:   structural correlations, degree-degree correlations, hidden variables, assortative mixing, disassortative mixing

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