Incompatibility networks as models of scale-free small-world graphs

被引:29
|
作者
Zhang, Zhongzhi [1 ,2 ]
Zhou, Shuigeng [2 ]
Zou, Tao [2 ]
Chen, Lichao [2 ]
Guan, Jihong [3 ]
机构
[1] Fudan Univ, Dept Comp Sci & Engn, 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 | 2007年 / 60卷 / 02期
关键词
D O I
10.1140/epjb/e2007-00344-7
中图分类号
O469 [凝聚态物理学];
学科分类号
070205 ;
摘要
We make a mapping from Sierpinski fractals to a new class of networks, the incompatibility networks, which are scale-free, small-world, disassortative, and maximal planar graphs. Some relevant characteristics of the networks such as degree distribution, clustering coefficient, average path length, and degree correlations are computed analytically and found to be peculiarly rich. The method of network representation can be applied to some real-life systems making it possible to study the complexity of real networked systems within the framework of complex network theory.
引用
收藏
页码:259 / 264
页数:6
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