借鉴随机服务系统处理顾客输入过程的思想,用随机过程刻画增长网络的节点到达过程.给出了一般的随机增长网络模型,并运用随机过程理论解析分析了其稳态度分布,得出相应的无标度网络要呈现富者愈富现象需满足的条件.为解析分析增长网络的度分布提出了一种计算方法,此法避免了假设节点均匀分布进入网络所产生的缺陷.
Basing on the thought of the customer input process in random service system,the random process was brought in to describe the nodes incoming process in growth networks.A general random growth network was introduced and its stationary degree distribution was analysed by using the theory of random process.The conditions which contribute to the rich-get-richer phenomenon in corresponding scale-free network were presented.By virtue of the general conclusion of degree distribution obtained above,the degree dist...