标题： 基于符号Friedkin-Johnsen模型的绝对中心性：影响的图形特征 显示英文标题

标题： Absolute centrality in a signed Friedkin-Johnsen based model: a graphical characterisation of influence

摘要： 本文研究了由Friedkin-Johnsen（FJ）模型在具有符号交互的任意网络结构中的意见演化问题。参与意见形成的主体被定义为具有影响力的个体。最初，根据网络连通性和交互性质，将个体分类为意见领袖和追随者。然而，引入顽固性会导致有趣的行为，即非有影响力个体可能变得有影响力，反之亦然。随后，提出了一种基于信号流图（SFG）的方法来量化有影响力个体意见的影响。此外，它还有助于阐明网络拓扑在塑造个体最终意见中所起的作用。基于此分析，提出了绝对中心性度量方法，以确定网络中所有个体的整体影响。与大多数现有度量方法不同，该方法适用于任何网络结构，并考虑了顽固性和对抗性的影响。文中通过多个例子来说明和验证这些结果。 显示英文摘要

摘要： This paper studies the evolution of opinions governed by a Friedkin Johnsen (FJ) based model in arbitrary network structures with signed interactions. The agents contributing to the opinion formation are characterised as being influential. Initially, the agents are classified as opinion leaders and followers based on network connectivity and the nature of interactions. However, the addition of stubbornness leads to interesting behaviours wherein a non influential agent can now become influential and vice versa. Thereafter, a signal flow graph (SFG) based method is proposed to quantify the influence of an influential agents' opinions. Additionally, it helps illustrate the role played by network topology in shaping the final opinions of the agents. Based on this analysis, the absolute centrality measure is proposed to determine the overall influence of all the agents in the network. Unlike most of the existing measures, it is applicable to any network structure and considers the effect of stubbornness and antagonism. Examples are presented throughout the paper to illustrate and validate these results.