Identifying community structure of a complex network provides insight to the interdependence between the network topology and emergent collective behaviors of networks, while detecting such invariant communities in a time-varying network is more challenging. In this paper, we define the temporal stable community and use the temporal similarity of edges for judging whether temporal stable communities exist in time-varying networks. Furthermore, we newly propose the concept of dynamic modularity to evaluate the stable community structures in time-varying networks, which is robust against small changes as verified by several empirical time-varying network datasets. Besides, using the volatility features of temporal stable communities in functional brain networks, we successfully differentiate the ADHD (Attention Deficit Hyperactivity Disorder) patients and healthy controls efficiently.

中文翻译：

---

时变网络中的时间稳定社区

识别复杂网络的社区结构可以深入了解网络拓扑和网络的紧急集体行为之间的相互依赖性，而在时变网络中检测此类不变社区更具挑战性。在本文中，我们定义了时间稳定社区，并利用边的时间相似性来判断时变网络中是否存在时间稳定社区。此外，我们新提出了动态模块化的概念来评估时变网络中的稳定社区结构，这对一些经验性时变网络数据集验证的小变化具有鲁棒性。此外，利用功能性脑网络中时间稳定社区的波动性特征，