Figure 3
From: A coevolving model based on preferential triadic closure for social media networks
Schematic illustration of the coevolution of both topology (a–c) and dynamical states (d–f) in the model.
The numeric tags are the values of state functions. (a) The network at time t, where some users (solid) are activated according to their states. (b) One step updating of the network topology, which involves several activities: New user U11 joins and randomly connects to user U9 and one of his favorite item I5; New item I6 is created (uploaded) by activated user U10; The activated users connect to their second neighbors, including friend of friend (e.g., U2 to U3); favorite item of friend (e.g., U8 to I4); and the fan of favorite item (e.g., U7 to U5). (c) At time t + 1, the states of users are updated according to equation (1). The states of activated users at time t are reset to 0, but some nodes are activated again according to their states at time t + 1. (d)–(f) Illustrating the evolution of degrees and state function for a specific user during certain time period in the model. (d) Evolution of the social degree ks(t) and the favorite degree kf(t). (e) The network-involving activities of the user. The dashed dot lines and the dot lines indicate the moments when the user initiatively increases his social degree (e.g., U2 to U3 in (b)) and the moments when the user passively increases his social degree (e.g., U5 was connected by U7 in (b)), respectively. The solid lines represent the moments when the user increases his favorite degree (e.g., U8 to I4 in (b)). (f) Evolution of the state function ϕ(t). Parameters for the model: m = 10, n = 100, μ = 0.5, ϕ0 = 1, Θ ∈ [40, 4000] (uniformly random number), N = 100,000 (the final size of the network).
