ABSTRACT

Temporal social network analysis aims to understand the structures in networks as they evolve, building on static analysis techniques but adding a mechanism for variation with time. When a social network changes from one time to another, reflecting this change completely requires a fresh embedding of the graph into a new space. There are two ways to model these directed edges: using Chung's embedding, or using the new directed embedding. The embedded temporal network allows evaluating the changing relationships. The Laplacian embedding of the network as a whole, that is adding together all of the undirected interactions of all participants. The three-dimensional embedding using the new directed approach, where each individual has in and out versions. Overall, the network structure is similar to the undirected version. In the undirected embedding, Chung remains in relatively the same location from time period 2 to time period 6, and then moves far from the centre.