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微博给人们提供便利的同时也产生了较大的负面影响.为获取微博谣言的传播规律,进而采取有效措施防控其传播,本文基于复杂网络理论研究微博用户关系网络的内部特征,提出一种微博用户关系网络演化模型,借助于平均场理论,分析该演化模型的拓扑统计特性,以及谣言在该演化模型上的传播动力学行为.理论分析和仿真实验表明,由该模型演化生成的微博用户关系网络具有无标度特性.度分布指数不仅与反向连接概率有关,而且还取决于节点的吸引度分布.研究还发现,与指数分布和均匀分布相比,当节点吸引度满足幂律分布时,稳态时的谣言传播程度较大.此外,随着反向连接概率或节点初始连边数量的增加,谣言爆发的概率以及网络中最终接受谣言的节点数量都会明显增大.
In order to obtain the law of the spread of Weibo’s rumor and take effective measures to prevent and control its spread, we study the internal characteristics of Weibo’s user relationship network based on the theory of complex network, This paper proposes a micro-blog user relationship network evolution model, with the help of mean field theory, analyzes the topological statistics of the evolution model and the rumor propagation behavior of the rumor on the evolution model. Theoretical analysis and simulation experiments show that the evolution of the model The generated microblog user relationship network has scale-free characteristics.The degree distribution index is not only related to the reverse connection probability, but also depends on the node’s attraction degree distribution.The study also found that compared with the index distribution and the uniform distribution, when the node attracts When the power law distribution is satisfied, the rumor spread at steady state is larger.With the increase of the reverse connection probability or the number of initial connecting edges, the probability of rumor explosion and the number of nodes in the network that eventually receive rumors are significantly increased Big.