标度指数不大于2的无标度网络的若干性质

将标度指数不大于2的无标度网络称为亚标度网络.通过引入度秩函数研究了亚标度网络的最大度、平均度以及拓扑结构的非均匀性,通过与标度指数大于2的无标度网络对比,揭示了亚标度网络若干特殊性质.

Some Properties of Scale-Free Networks with Scaling Exponent \lambda \le 2

Scale-free networks with scaling exponent \lambda \le 2 have received less attention, despite of their widespread appearance in the real world. The scale-free networks with scaling exponent \lambda \le 2 are called ``sub-scale-free networks" (SSFN) in this paper. To reveal the specific properties of SSFN, the maximum degree, the average degree and the heterogeneity of SSFN are studied by introducing the degree-rank function. Some properties of SSFN are demonstrated by comparing with scale-free networks with scaling exponent \lambda > 2.