Expansion of the conditional probability function in a network with nearest-neighbour degree correlations

Details Expansion of the conditional probability function in a network with nearest-neighbour degree correlations Expansion of the conditional probability function in a network with nearest-neighbour degree correlations

2010-07-05

arxiv.org/abs/1007.0717v1

Physics

Physics and Society

16 pages, 9 figures, uses revtex4

Scientific paper

A useful property of a network that can be used to characterize many systems is the degree distribution. However, many complex networks exhibit higher--order degree correlations that must be studied through other means, such as clustering coefficients, the Newman r factor, and the average nearest neighbour degree (ANND). In this paper we develop an expansion of the conditional probability that can be used to parameterize such degree correlations. The measures of degree correlations associated with this expansion can be used to signal the presence of non--linear correlations.

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