Random Sierpinski network with scale-free small-world and modular structure

2008/03/31 by Zhongzhi Zhang, Shuigeng Zhou, Zhan Su +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Engineering · Physics and Astronomy · #Gene Regulatory Network Analysis #Molecular Communication and Nanonetworks #Slime Mold and Myxomycetes Research #cond-mat.stat-mech

paper · pdf · doi:10.1140/epjb/e2008-00305-8

published as Eur. Phys. J. B 65, 141-147 (2008) · 7 pages, 9 figures; final version accepted for publication in EPJB

arxiv created 2008/06/30 · openalex publication_date 2008/08/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we define a stochastic Sierpinski gasket, on the basis of which we construct a network called random Sierpinski network (RSN). We investigate analytically or numerically the statistical characteristics of RSN. The obtained results reveal that the properties of RSN is particularly rich, it is simultaneously scale-free, small-world, uncorrelated, modular, and maximal planar. All obtained analytical predictions are successfully contrasted with extensive numerical simulations. Our network representation method could be applied to study the complexity of some real systems in biological and information fields.

Citations

• Community structure in social and biological networks
• Emergence of scaling in random networks
• Statistical mechanics of complex networks
• The large-scale organization of metabolic networks
• On power-law relationships of the Internet topology

Cited by

• A unified model for Sierpinski networks with scale-free scaling and small-world effect