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Betweenness centrality correlation in social networks

K. -I. Goh·E. Oh·B. Kahng·D. Kim
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Abstract

Scale-free (SF) networks exhibiting a power-law degree distribution can be grouped into the assortative, dissortative and neutral networks according to the behavior of the degree-degree correlation coefficient. Here we investigate the betweenness centrality (BC) correlation for each type of SF networks. While the BC-BC correlation coefficients behave similarly to the degree-degree correlation coefficients for the dissortative and neutral networks, the BC correlation is nontrivial for the assortative ones found mainly in social networks. The mean BC of neighbors of a vertex with BC $g_i$ is almost independent of $g_i$, implying that each person is surrounded by almost the same influential environments of people no matter how influential the person is.

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BibTeXRIS

K. -I. Goh, E. Oh, B. Kahng, D. Kim. 2002-10-10. Betweenness centrality correlation in social networks. https://doi.org/10.1103/physreve.67.017101

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