一类变幂率的无标度网络模型构建和分析  

Model construction and analyses of a class of scale-free network with variable power law exponent

作　　者：那日萨[1] 张书超[1] 穆青[1] 

机构地区：[1]大连理工大学管理学院,辽宁大连116024

出　　处：《大连理工大学学报》2010年第5期811-815,共5页Journal of Dalian University of Technology

基　　金：国家自然科学基金资助项目(70571007)

摘　　要：多数现实网络的度分布指数(幂指数)介于(2,3),而BA网络的度分布指数恒等于3.基于BA模型,引入老节点之间的择优连接机制,建立了一类变幂率的无标度网络模型,给出了这类复杂网络演化的解析结果,证明了在不同的参数下,其幂指数介于[2,3].同时指出,BA网络只是该模型的一个特例,通过一些实际网络数据的分析,说明了该网络模型的有效性和合理性.Most of the scaling exponents in real network are scattered between 2and 3,while the exponent of BA network is 3constantly.Based on the BA model,the preferential attachment mechanism between the existing vertexes is imported and a scale-free network whose scaling exponent can change in some certain scope is proposed.The degree distribution is calculated analytically and the analytical results indicate that the scaling exponent varies from 2to 3under different values of the parameters.It is also pointed out that the BA network model is the particular case of the model.And through the analyses of some data of the real networks,the model is proved to be reasonable and effective.

关 键 词：无标度网络 幂率 BA模型 择优连接 

分 类 号：N94[自然科学总论—系统科学]