Growing models from deterministic to random hierarchical networks

Abstract

In this paper, we introduce a growing hierarchical network model with a tunable parameter q which is an economic model based on the real-life networks of profit distributions. Our theoretical results indicate that the model follows a power-law degree distribution P(k) ∝ k −γ with the power-law exponent of γ ≈ 1. Besides, the model has a smaller Average Path Length (APL) and a larger clustering coefficient for smaller q, proved to be a Small-World Network (SWN).