基于超网络的微博讨论数幂律分布研究

对以微博为代表的新型虚拟社区网络上的信息传播规律进行研究,探讨表达话题数和用户数两个维度的相互联系和作用,采用超网络的研究方法,结合超图的数学理论,建立了超网络拓扑结构图,通过对一段时间内约60 000条微博话题进行采样,统计参与讨论的用户数并将统计数据进行分类汇总,建立对数坐标系,用matlab绘出的散点图验证了讨论数和话题数是一个常数次幂的反比关系,得出微博讨论数完全符合幂律分布规律的结论。

The research of power-law distribution from the micro-blog discuss number based on the super network

Study on the law of information transmission model of virtual community network to micro-blog represented on the interrelation and interaction,investigate the expression and the number of users topic two dimension,by using the method of super network,combined with the mathematical theory of hypergraph,set the establishment of ultra structure of network topology,by about 60 000 micro-blog topic for a period of time sampling,the number of users to participate in the discussion of the statistics and statistical data to classify,establish logarithmic coordinate system,verified the discussion and topic number is a constant power inverse relationship with scattered matlab draw, draw micro-blog discuss fully consistent with the power-law distribution rule.