Chapter

Correlations in networks

Sergey N. Dorogovtsev

in Lectures on Complex Networks

Published in print February 2010 | ISBN: 9780199548927
Published online May 2010 | e-ISBN: 9780191720574 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199548927.003.0008

Series: Oxford Master Series in Physics

Correlations in networks

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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

Chapter.  3441 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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