Figure 13

Probability distribution \(Pr[{\mathscr {S}}^*_{3}=s]\) of the size \({\mathscr {S}}^*_{3}\) of trains (obtained from the activity series of egonetworks centered at each order 3 hyperlink), where a center link is activated at least once, in each collaboration network \({\mathscr {H}}\) (blue) and its three randomized reference models \({\mathscr {H}}^1_3\) (yellow), \({\mathscr {H}}^2_3\) (green) and \({\mathscr {H}}^3_3\) (red). To identify the trains, we consider \(\Delta t = 60s\). For each network, the average size of the trains is reported. The maximum average size among network \({\mathscr {H}}\), \({\mathscr {H}}^1_3\), \({\mathscr {H}}^2_3\) and \({\mathscr {H}}^3_3\) is in bold. The horizontal and vertical axes are presented in logarithmic scale.