Random Sierpinski network with scale-free small-world and modular structure
Random Sierpinski network with scale-free small-world and modular structure
复制标题
具有无标度小世界和模块化结构的随机谢尔宾斯基网络
DOI：
10.1140/epjb/e2008-00305-8
复制
发表时间：
2008-09-01
影响因子：
1.6
通讯作者：
Guan, Jihong
中科院分区：
文献类型：
--
作者：
Zhang, Zhongzhi;Zhou, Shuigeng;Guan, Jihong
本文定义了一种随机Sierpinski垫片，并在此基础上构造了一种随机Sierpinski网络（RSN）。我们研究分析或数值的统计特性的RSN。结果表明，RSN具有丰富的性质，它同时具有无标度性、小世界性、不相关性、模块性和极大平面性。所有获得的分析预测成功地与广泛的数值模拟对比。该网络表示方法可用于研究生物和信息领域中某些真实的系统的复杂性。
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.