# Expansion of the conditional probability function in a network with nearest-neighbour degree correlations - Physics > Physics and Society

Expansion of the conditional probability function in a network with nearest-neighbour degree correlations - Physics > Physics and Society - Download this document for free, or read online. Document in PDF available to download.

Abstract: A useful property of a network that can be used to characterize many systemsis the degree distribution. However, many complex networks exhibithigher-order degree correlations that must be studied through other means,such as clustering coefficients, the Newman r factor, and the average nearestneighbour degree ANND. In this paper we develop an expansion of theconditional probability that can be used to parameterize such degreecorrelations. The measures of degree correlations associated with thisexpansion can be used to signal the presence of non-linear correlations.

Author: ** Murray E. Alexander, Randy Kobes**

Source: https://arxiv.org/