随机—择优网络的结构控制及其传播阈值研究

Structure Control and Spreading Threshold Research in Random-Preferential Networks

建立一个综合研究随机网络特征和无标度网络特征的随机-择优统一演化网络模型，在该模型中引入参数p，其表示新节点与旧节点进行随机连接的概率，而1-p为新节点与旧节点进行择优连接的概率，p的变化范围在0～1之间。当p=0时，网络的临界传播阈值为0，而当p＞0时，网络的临界传播阈值为正值。对该模型的分析和研究一方面揭示了网络结构演化的微观动力学机制，另一方面为优化网络结构设计和控制病毒传播提供了依据。

The random-preference integration evolvement network model was proposed,which could analyze the characteristics of the random and scale-free networks. In the model,a new probability （p） was introduced,and p was the random probability of connecting the new node with the old one. 1-p was the preferential probability that connected the new node with the old one. The p scale was from 0 to 1. The network spreading threshold was 0,if the p was 0. Its value would become positive,if the p is more than 0. The study of this model could illuminate the mechanism underneath the network structure evolvement. At the same time,it could provide data for the optimization of the network structure design and be helpful for the control of the spread of virus infection.