A generalized volume dimension of complex networks

被引：11
|
作者：
Wei, Daijun [1 ,3 ]
Wei, Bo [2 ]
Zhang, Haixin [2 ]
Gao, Cai [2 ]
Deng, Yong [2 ,4 ]
机构：
[1] Hubei Univ Nationalities, Key Lab Biol Resources Protect & Utilizat Hubei P, Enshi 445000, Peoples R China
[2] Southwest Univ, Sch Comp & Informat Sci, Chongqing 400715, Peoples R China
[3] Hubei Univ Nationalities, Sch Sci, Enshi 445000, Peoples R China
[4] Vanderbilt Univ, Sch Engn, Nashville, TN 37235 USA
来源：
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2014年
基金：
中国国家自然科学基金; 国家高技术研究发展计划(863计划);
关键词：
random graphs; networks; NUCLEAR-MATTER; 3-BODY;
D O I：
10.1088/1742-5468/2014/10/P10039
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The fractal and self-similarity properties are investigated in many real complex networks. The volume dimension method is an effective tool to measure the fractal property of complex networks. In this paper, a new volume dimension measure is proposed based on the node degree of complex networks. We apply the proposed method to calculate the fractal dimension of some real networks and Newman-Watts (NW) small-world. The results show that the proposed method is effective when dealing with the fractal dimension problem of complex networks. In addition, we find that the fractal dimension is mainly influenced by the probability of 'adding edges' and the average length of the small-world network.
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收藏
页数：8
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