Betweenness centrality correlation in social networks

K.-I. Goh, E. Oh, B. Kahng, and D. Kim
Phys. Rev. E 67, 017101 – Published 13 January 2003
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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 gi is almost independent of gi, implying that each person is surrounded by almost the same influential environments of people no matter how influential the person may be.

  • Received 11 October 2002

DOI:https://doi.org/10.1103/PhysRevE.67.017101

©2003 American Physical Society

Authors & Affiliations

K.-I. Goh, E. Oh, B. Kahng, and D. Kim

  • School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea

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Vol. 67, Iss. 1 — January 2003

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