基于平均场理论的微博传播网络模型

微博是在通过用户关注机制建立的用户网络上分享实时信息的社交平台,而微博消息主要通过用户的转发行为使消息在用户网络上传播.掌握微博消息的传播机制,对研究微博上舆论谣言的传播、产品推广等具有指导作用.本文通过对微博传播网络的结构分析来探索微博传播过程,利用新浪微博数据,建立微博传播网络,分析该网络的生成机制,使用平均场论的方法,推导微博传播网络的度分布模型.实验结果表明:微博传播网络的度分布是时间相依的,在特定时间下网络的度分布服从幂律分布.

Microblog propagation network model based on mean-field theory

Microblog is a social medium platform allowing users to share real-time information through the user relationship networks which are established by the mechanism of “following”. Message is spread through the user relationship networks by users' behavior of “retweeting”. The research on the spread mechanism of microblog message is very important for public sentiment analysis and rumor propagation control. In this paper, we intend to explore the process of microblog propagation through structural analysis of microblog propagation network. First, we adopt the data of Sina Microblog to establish microblog propagation network, then analyze the formation mechanism of this network, finally, derive the degree distribution model of microblog propagation network by mean-field theory. Experimental results show that the degree distribution of microblog propagation network is a time-dependent model, and it is a power-law distribution at specific time.
Keywords： complex networks microblog propagation network scale-free network mean-field theory