论文标题
用模块化生命力测量节点对社区结构的贡献
Measuring Node Contribution to Community Structure with Modularity Vitality
论文作者
论文摘要
社区意识的中心性是网络科学领域的一个新兴研究领域,与节点在社区结构方面的重要性有关。措施是网络结构和给定分区的函数。先前的方法扩展了经典的中心度措施,以说明社区结构,而与社区检测理论几乎没有联系。相比之下,我们提出了集群质量的生命力措施,即模块化活力,这是一种社区感知的措施,在中心性和社区检测理论中均具有良好的基础。模块化活力量化了对社区结构的正面和负面贡献,这表明节点作为社区桥梁或枢纽的作用。我们得出了一种计算有效的方法,用于计算O(M + NC)时间中所有节点的模块化活力,其中C是社区的数量。我们通过删除中央节点来系统地碎片网络,发现模块化活力始终超过现有的社区感知中心度度量。在百万节点基础架构网络上,模块化活力的效率是下一方法的8倍以上。该结果并未推广到社交媒体传播网络,后者对所有社区意识的中心性攻击表现出极大的鲁棒性。这种鲁棒性表明,基于用户的干预措施减轻错误信息扩散将是无效的。最后,我们证明了模块化活力为社区欺骗提供了新的方法。
Community-aware centrality is an emerging research area in network science concerned with the importance of nodes in relation to community structure. Measures are a function of a network's structure and a given partition. Previous approaches extend classical centrality measures to account for community structure with little connection to community detection theory. In contrast, we propose cluster-quality vitality measures, i.e., modularity vitality, a community-aware measure which is well-grounded in both centrality and community detection theory. Modularity vitality quantifies positive and negative contributions to community structure, which indicate a node's role as a community bridge or hub. We derive a computationally efficient method of calculating modularity vitality for all nodes in O(M + NC) time, where C is the number of communities. We systematically fragment networks by removing central nodes, and find that modularity vitality consistently outperforms existing community-aware centrality measures. Modularity vitality is over 8 times more effective than the next-best method on a million-node infrastructure network. This result does not generalize to social media communication networks, which exhibit extreme robustness to all community-aware centrality attacks. This robustness suggests that user-based interventions to mitigate misinformation diffusion will be ineffective. Finally, we demonstrate that modularity vitality provides a new approach to community-deception.