Goh K-I, Oh E, Kahng B, Kim D
School of Physics and Center for Theoretical Physics, Seoul National University, Seoul 151-747, Korea.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Jan;67(1 Pt 2):017101. doi: 10.1103/PhysRevE.67.017101. Epub 2003 Jan 13.
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 may be.
具有幂律度分布的无标度（SF）网络可根据度-度相关系数的行为分为同类相吸、异类相吸和中性网络。在此，我们研究了每种类型的SF网络的介数中心性（BC）相关性。虽然对于异类相吸和中性网络，BC-BC相关系数的行为与度-度相关系数相似，但对于主要在社交网络中发现的同类相吸网络，BC相关性却很不平凡。具有BC g(i)的顶点的邻居的平均BC几乎与g(i)无关，这意味着无论一个人有多有影响力，他周围的人的影响力环境几乎都是相同的。
