Betweenness centrality correlation in social networks

Details Betweenness centrality correlation in social networks Betweenness centrality correlation in social networks

2002-10-10

arxiv.org/abs/cond-mat/0210224v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 4 figures, 1 table

Scientific paper

10.1103/PhysRevE.67.017101

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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