Figure 7

Dynamics analysis of the Trendy Preferential Attachment (TPA) model. Panel A depicts the popularity sequence lengths distribution, panel B manifests the number of popularity sequences distribution, and panel C presents the distribution of gap lengths between consecutive popularity sequences. All three distributions seem to follow a truncated power-law model, in accordance with our empirical evidence. Panel D presents a heat-map depicting popularity sequence lengths as a function of node inception times (node tag), indicating that long popularity applies solely to early-joiners. Panel E depicts the distributions of popularity sequence lengths, each with respect to different inception-related subgroups of nodes. This forget-based mechanism manages to reproduce both the power-law dynamics their age related characteristics