双优无标度网络模型  

Double preferential scale-free network models

作　　者：马飞[1] 姚兵[1] MA Fei YAO Bing(College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Chin)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《中山大学学报（自然科学版）》2017年第1期85-92,共8页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(61662066;61163054;61363060)

摘　　要：基于标准的无标度网络模型,首先扩展了网络增长的"优先连接机制"原则,从更一般的情形出发,设立不同约束条件下的点优先连接概率,既而建立了更一般的网络动力系统所符合的偏微分方程,给出无标度网络的一个拓扑性质。然后,给出了一种更加符合现实的择优概率,接着,建立了一类更一般的网络演化模型,并讨论了它的无标度特性,得到它的幂率指数γ在1~4之间。Based on the “classic”scale-free network model,the network growth principle （preferential attachment mechanism）is extended.Starting from a more general situation,some vertex-preferential at-tachment probability in different constraint conditions are established,and then the partial differential e-quation satisfied a more general network dynamic system is set up,and also another important topological property of scale-free network is found.Then a much realistic preferential attachment probability is pres-ented.Finally,a more general network model is generated.By discussing its scale-free property,that scale-free parameterγranges from 1 to 4 is captured.

关 键 词：无标度网络模型 动态演化 偏微分方程 六度分离 

分 类 号：O157.5[理学—数学]