Chapter

Uncorrelated 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/9780199548927.003.0005

Series: Oxford Master Series in Physics

Uncorrelated networks

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This chapter considers networks with an arbitrary degree distribution, in which the degrees of nodes are uncorrelated, including the degrees of the nearest-neighbour nodes. The two kinds of these networks are considered in detail. The first is the configuration model (a random graph with a given degree sequence) and the second is the static model (a random graph with a given sequence of desired degrees). The basic properties of these locally tree-like networks are discussed. The chapter also considers bipartite uncorrelated networks.

Keywords: configuration model; static model; hidden variables; locally tree-like structure

Chapter.  3448 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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