The formation of public opinion on the network is a hot issue in the field of complex network research, and some classical dynamic models are used to solve this problem. The signed network is a particular form of the complex network, which can adequately describe the amicable and hostile relationships in complex real-world systems. However, the methods for studying the dynamic process of public opinion propagation on signed networks still require to be further discussed. In this paper, the authors pay attention to the influence of negative edges in order to design a two-state public opinion propagation mechanism suitable for signed networks. The authors first set the interaction rules between nodes and the transition rules of node states and then apply the model to synthetic and real-world signed networks. The simulation results show that there is a critical value of the negative edge ratio. When the negative edge ratio exceeds this critical value, the evolutionary result of public opinion will change from a consistent state to a split state. This conclusion is also consistent with the distribution result of opinions within communities in the signed network. Besides, the research on the network structural balance shows that the model makes the network evolve in a more balanced direction.

网络舆论的形成是复杂网络研究领域的热点问题，一些经典的动态模型可以解决这一问题。签名网络是复杂网络的一种特殊形式，它可以充分描述复杂现实世界系统中的友好关系和敌对关系。然而，研究在签名网络上舆论传播的动态过程的方法仍需进一步讨论。在本文中，作者关注负边缘的影响，以设计适用于签名网络的两种状态的舆论传播机制。作者首先设置节点之间的交互规则和节点状态的转换规则，然后将该模型应用于合成和真实世界的签名网络。仿真结果表明负边缘比存在临界值。当负边缘比率超过此临界值时，舆论的演变结果将从一致状态变为分裂状态。该结论也与签名网络中社区内部意见的分发结果一致。此外，对网络结构平衡的研究表明，该模型使网络向更加平衡的方向发展。