Today I read a paper titled “Path lengths, correlations, and centrality in temporal networks”
The abstract is:
In temporal networks, where nodes interact via sequences of temporary events, information or resources can only flow through paths that follow the time-ordering of events
Such temporal paths play a crucial role in dynamic processes
However, since networks have so far been usually considered static or quasi-static, the properties of temporal paths are not yet well understood
Building on a definition and algorithmic implementation of the average temporal distance between nodes, we study temporal paths in empirical networks of human communication and air transport
Although temporal distances correlate with static graph distances, there is a large spread, and nodes that appear close from the static network view may be connected via slow paths or not at all
Differences between static and temporal properties are further highlighted in studies of the temporal closeness centrality
In addition, correlations and heterogeneities in the underlying event sequences affect temporal path lengths, increasing temporal distances in communication networks and decreasing them in the air transport network