Degree distribution, rank-size distribution, and leadership persistence in mediation-driven attachment networks
文摘
We have investigated a mediation-driven attachment model for scale-free networks. The model exhibits winners take it all mechanism when the new nodes come with a small number of edges (mm). The degree distribution exhibits power-law with a spectrum of exponents 1.7≤γ≤31.7≤γ≤3 depending on mm. We have shown that the rank-size distribution decays following a power-law. Finally, we show that the leadership persistence probability F(τ)F(τ), the probability that the node with the maximum degree retains its leadership up to time ττ, decays following a power-law.