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

被引：49
|
作者：
Zhang, Zhongzhi [1 ,2 ]
Zhou, Shuigeng [1 ,2 ]
Su, Zhan [1 ,2 ]
Zou, Tao [1 ,2 ]
Guan, Jihong [3 ]
机构：
[1] Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China
[2] Fudan Univ, Shanghai Key Lab Intelligent Informat Proc, Shanghai 200433, Peoples R China
[3] Tongji Univ, Dept Comp Sci & Technol, Shanghai 201804, Peoples R China
来源：
EUROPEAN PHYSICAL JOURNAL B | 2008年 / 65卷 / 01期
基金：
中国国家自然科学基金;
关键词：
D O I：
10.1140/epjb/e2008-00305-8
中图分类号：
O469 [凝聚态物理学];
学科分类号：
070205 ;
摘要：
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.
引用
收藏
页码：141 / 147
页数：7
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