Title: Growing models from deterministic to random hierarchical networks

Authors: Juan Zhang, Huan Huang

Addresses: College of Science, Donghua University, No. 2999 Renmin Road North, Songjiang District, Shanghai, 201620, PR China. ' College of Science, Donghua University, No. 2999 Renmin Road North, Songjiang District, Shanghai, 201620, PR China

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).

Keywords: power law distribution; small world network; DCN; deterministic complex networks; hierarchical network models; profit distributions.

DOI: 10.1504/IJSCC.2009.026318

International Journal of Systems, Control and Communications, 2009 Vol.1 No.4, pp.406 - 413

Published online: 06 Jun 2009 *

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