关键词: 谣言传播, 无标度网络, 节点亲密度函数, 传播阈值, 聚类系数

Abstract: The influence of intimacy between nodes in real social networks in the process of rumor spreading is considered. A new SI2R propagation model is proposed to establish rumor propagation dynamics equations to study the rumor propagation characteristics on scale-free networks. The non-consistence of rumor spreading rate among different nodes in this model depends on both node degree and intimacy degree, and the threshold expression of rumor propagation on scale-free network is obtained theoretically. Subsequently, the impact of node intimacy on the rumor propagation process in BA （Barabási-Albert） scale-free networks is simulated and the simulation results are validated using two real network datasets, Twitter and Live Journal. The result shows that the average intimacy of nodes in scale-free networks decreases with the increase of network clustering coefficient and as the average intimacy of nodes in networks increases, the final range of rumor propagation becomes larger. The study also finds that the existence of node intimacy makes the existence of propagation threshold in scale-free networks, and the propagation threshold decreases with the increase of the average intimacy of nodes.

Key words: rumor spreading, scale-free network, node intimacy function, propagation threshold, cluster coefficient