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 is almost independent of 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