标度指数不大于2的无标度网络的若干性质  

SOME PROPERTIES OF SCALE-FREE NETWORKS WITH SCALING EXPONENT λ≤2

作　　者：吴俊[1] 谭跃进[1] 邓宏钟[1] 朱大智[1] 

机构地区：[1]国防科技大学信息系统与管理学院管理系,长沙410073

出　　处：《系统科学与数学》2008年第7期811-821,共11页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金项目(70501032)资助课题

摘　　要：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.Scale-free networks with scaling exponent λ ≤2 have received less attention, despite of their widespread appearance in the real world. The scale-free networks with scaling exponent λ ≤ 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 λ ≤2.

关 键 词：无标度网络 亚标度网络 度秩函数 最大度 非均匀性 

分 类 号：N941.4[自然科学总论—系统科学]