Random Sierpinski network with scale-free small-world and modular structure
Statistical Mechanics
2008-09-10 v2
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.
Cite
@article{arxiv.0803.0780,
title = {Random Sierpinski network with scale-free small-world and modular structure},
author = {Zhongzhi Zhang and Shuigeng Zhou and Zhan Su and Tao Zou and Jihong Guan},
journal= {arXiv preprint arXiv:0803.0780},
year = {2008}
}
Comments
7 pages, 9 figures; final version accepted for publication in EPJB