Abstract: According to the research into how the users social characteristics and behavior properties influence the microblog fans network evolving, a new microblog fans network evolving model based on the attractive factor called SBPAF was proposed. The attractive factor for social characteristics and the attractive factor for behavior properties were defined. The nodes create new edges according to attractive factor preferential attachment principle and the two-step attachment principle. Besides, the dying out of the edges was also considered. The parameter in the model can be adjusted flexibly so that different microblog fans networks can be simulated. Finally, the mathematical analysis and computational experiments verify that SBPAF model is reasonable and available.

Key words: microblog fans network, social characteristic, behavior property, attractive factor, network evolving, topological characteristic

摘要： 分析用户社会属性和行为特征对微博粉丝网络演化的影响，提出一种基于用户社会属性及行为特征吸引度的微博粉丝网络演化模型SBPAF。模型引入社会属性吸引度及行为特征吸引度概念，依据吸引度优先连接的原则和第二跳连接原则增边，并引入边消亡过程，从而精确刻画现实微博粉丝网络演化过程。模型中的参数能够进行灵活调整，可以得到不同微博粉丝网络的仿真拓扑。仿真结果验证了SBPAF模型的合理性和有效性。

关键词: 微博粉丝网络, 社会属性, 行为特征, 吸引度, 网络演化, 拓扑属性