均匀增长无标度网络的等价模型  

Equivalence models of uniform increasing scale-free networks

作　　者：李守伟[1] 钱省三[1] 

机构地区：[1]上海理工大学管理学院,上海200093

出　　处：《上海理工大学学报》2006年第3期218-222,共5页Journal of University of Shanghai For Science and Technology

基　　金：上海市科技发展基金资助项目(056921025)

摘　　要：分析了无标度网络的BA模型和与BA等价的随机连接到边模型.在给出边的权重和节点适应度定义的基础上,提出了无标度网络的边加权网络模型和节点适应度模型.通过解析的方法证明了它们与BA模型的等价性.计算机模拟的结果也说明了它们的等价性,并给出了4个等价模型之间的比较.BA model and randomly-linked-with-edge model which is equal to BA model are analyzed for scale-free networks. Based on the definition of edge＇s weight and node＇s fitness, weighted-edge model and node-fitness model are presented. The equivalence of these models and BA model is proved by analytical computing, and the result of computer simulation also illustrates their equivalence. Comparison between the four equivalent models is presented.

关 键 词：复杂网络 BA模型 无标度 加权网络 适应度 

分 类 号：N94[自然科学总论—系统科学] O173[理学—数学]