改进的BA网络拓扑结构的分析  

Analysis of the topology of the improved BA networks

作　　者：马丽红 沈文梅 范虹 蒋文江 赵昌昌 赵美珍 MA Li-hong;SHEN Wen-mei;FAN Hong;JIANG Wen-jiang;ZHAO Chang-chang;ZHAO Mei-zhen(the Department of Mathematics and Physics,Hebei Institute of Architecture Civil Engineering,Hebei Zhangjiakou 075024;State grid corporation of China Hebei province Longwangmiao administration of power supply)

机构地区：[1]河北建筑工程学院理学院,河北张家口075024 [2]国家电网河北省龙王庙供电所,河北邯郸056900

出　　处：《河北建筑工程学院学报》2019年第3期109-112,共4页Journal of Hebei Institute of Architecture and Civil Engineering

基　　金：河北省教育厅青年基金项目(项目编号:QN2015200);河北建筑工程学院校级科研指令项目(项目编号:Y201409);河北省科技厅科技支撑计划项目(项目编号:164576112D);河北省科技厅项目(项目编号:152176294)

摘　　要：改进的BA网络其节点生长采用多种择优生长方式,可分为线性和非线性择优生长。利用主方程方法分析了改进的BA网络其节点择优增长的演化特征,证明了改进的BA网络其节点度分布满足幂律分布的形式,若节点生长模式是线性择优生长,得到其度分布的幂指数介于2和3之间。随着这种网络结构的不断演化,其网络的性质与经典的BA网络模型的性质具有相似性。In improved BA network its growth of nodes can be divided into linear and nonlinear preferential growth.The evolution characteristics of the improved BA networks are analyzed by means of the master equation.It is proved that the distribution of the improved BA network satisfies the power law distribution.If the node growth is linear optimal growth,the power exponent of its distribution is between 2 and 3.As this network structure evolves.The nature of its network is similar to that of the classic BA network model.

关 键 词：粘连择优生长 BA网络模型 幂率分布 主方程方法 

分 类 号：O4[理学—物理]