摘要
引入了谢尔宾斯基地毯的网络拓扑性质,并在此基础上采用内连结点法,构造具有分形和小世界特性的网络,利用数学归纳的方法得到了该网络图的集聚系数、网络图的直径、平均路径长度及平均度分布等,证明了该网络的小世界特性;由网络的自相似性及其具有的精细结构得到该网络的分形特性,由此证明了其分形和小世界特性.
Sierpinski carpet has many topological properties. Through adopting inner-link method on the Sierpinski carpet, a kind of Sierpinski network is constructed. Using mathematical induction method the clustering coefficient, the diameter, the average path length, and the average degree of the metwork are obtained, which testifies that the network is small-world. Finally, the box-counting dimension and similarity dimension are calculated as a measure of fractality of the network. The network＇ s similarity and elaborate structure demonstrates the fractality of the network.
出处
《系统工程学报》
CSCD
北大核心
2009年第6期734-738,共5页
Journal of Systems Engineering
基金
国家自然科学基金资助项目(70571007)
