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.
出处
《系统科学与数学》
CSCD
北大核心
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
关键词
无标度网络
亚标度网络
度秩函数
最大度
非均匀性
Scale-free networks, sub-scale-free networks, degree-rank function, maximum degree, heterogeneity.
