Tsallis information dimension of complex networks

被引：23
|
作者：
Zhang, Qi [1 ]
Luo, Chuanhai [1 ]
Li, Meizhu [1 ]
Deng, Yong [1 ,2 ,3 ]
Mahadevan, Sankaran [3 ]
机构：
[1] Southwest Univ, Sch Comp & Informat Sci, Chongqing 400715, Peoples R China
[2] Northwestern Polytech Univ, Sch Automat, Xian 710072, Shaanxi, Peoples R China
[3] Vanderbilt Univ, Sch Engn, Nashville, TN 37235 USA
来源：
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2015年 / 419卷
基金：
国家高技术研究发展计划(863计划); 中国国家自然科学基金;
关键词：
Complex networks; Information dimension; Tsallis entropy; Tsallis information dimension; STATISTICAL-MECHANICS; SYNCHRONIZATION; EMERGENCE; DYNAMICS;
D O I：
10.1016/j.physa.2014.10.071
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The fractal and self-similarity properties are revealed in many complex networks. The information dimension is a useful method to describe the fractal and self-similarity properties of the complex networks. In order to show the influence of different parts in the complex networks to the information dimension, we have proposed a new information dimension based on the Tsallis entropy namely the Tsallis information dimension. The proposed information dimension is changed according to the scale which is described by the nonextensivity parameter q, and it is inverse with the nonextensivity parameter q. The existing information dimension is a special case of the Tsallis information dimension when q = 1. The Tsallis information dimension is a generalized information dimension of the complex networks. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：707 / 717
页数：11
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