Measuring degree-degree association in networks

Details Measuring degree-degree association in networks Measuring degree-degree association in networks

2010-03-08

arxiv.org/abs/1003.1634v2

Physics

Physics and Society

Scientific paper

The Pearson correlation coefficient is commonly used for quantifying the global level of degree-degree association in complex networks. Here, we use a probabilistic representation of the underlying network structure for assessing the applicability of different association measures to heavy-tailed degree distributions. Theoretical arguments together with our numerical study indicate that Pearson's coefficient often depends on the size of networks with equal association structure, impeding a systematic comparison of real-world networks. In contrast, Kendall-Gibbons' $\tau_{b}$ is a considerably more robust measure of the degree-degree association.

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