Scale-Free Network — Fitness Preferential Attachment

Bianconi-Barabási fitness model: P(k) ~ k^(-γ), fitness η determines winners

Network Growth

Bianconi-Barabási (2001):
P(attach to i) ∝ η_i^α · k_i
α=0: pure preferential attach
α=1: fitness dominates
"Fit get rich" effect
γ ≈ 2.5 + f(fitness dist.)
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Power law γ:
Top fitness node: