Temporal Network: Formation & Link Decay

Links form via preferential attachment and die via Poisson decay — sculpting the degree distribution

Nodes: 0  |  Edges: 0  |  ⟨k⟩ = 0.00
In temporal networks, edges form at rate α via preferential attachment (prob ∝ k^γ) and decay at rate δ (Poisson). At steady state, the degree distribution crosses over from a power law P(k) ~ k^{-(1+δ/α)} at small k to an exponential cutoff at large k. Compare with static pure PA (dashed). High decay rates (δ/α ≫ 1) produce near-Poisson distributions; low decay rates recover scale-free behavior.