Empirical Analysis of the Dynamic Processes of Node Appearance and Disappearance in Temporal Networks

The paper presents an analysis of real scale-free networks, which incorporates a mechanism for the disappearance of edges and nodes over time. Constantly growing scale-free networks and many of their properties are well studied. However, these models and the real network dynamics analysis typically only consider growing networks, without any mechanism for removing edges or vertices. Therefore, the paper focuses on the analysis of the network reduction process, paying close attention to changes in various local characteristics over time and determining whether the power law is satisfied for such networks. The study also reveals general patterns of the disappearance of edges in real networks, which can be used to create models that account for the network reduction process.