A box-covering Tsallis information dimension and non-extensive property of complex networks

2020 ◽  
Vol 132 ◽  
pp. 109590 ◽  
Author(s):  
Aldo Ramirez-Arellano ◽  
Luis Manuel Hernández-Simón ◽  
Juan Bory-Reyes
Keyword(s):  
Complex Networks ◽  
Information Dimension ◽  
Extensive Property

scholarly journals Tsallis information dimension of complex networks

2015 ◽  
Vol 419 ◽  
pp. 707-717 ◽  
Author(s):  
Qi Zhang ◽  
Chuanhai Luo ◽  
Meizhu Li ◽  
Yong Deng ◽  
Sankaran Mahadevan
Keyword(s):  
Complex Networks ◽  
Information Dimension

Outside-in box covering method and information dimension of Sierpinski networks

2020 ◽  
Vol 34 (17) ◽  
pp. 2050189
Author(s):  
Min Niu ◽  
Ruixia Li
Keyword(s):  
Complex Networks ◽  
Recurrence Formula ◽  
Self Similarity ◽  
Weighted Network ◽  
Information Dimension ◽  
Covering Method

Self-similarity is a significant property for complex networks. Box coverage method and dimension calculation are vital tools to study the characteristic of complex networks. In this paper, we propose an outside-in (OSI) box covering method for the Sierpinski networks, and it is attested that this coverage algorithm is superior to CBB algorithm. In addition, we deduce the optimal box recurrence formula of weighted and unweighted networks theoretically, and the result is the same as that of the algorithm value. We also obtain the information dimension of weighted network, which verifies the validity and feasibility of our method.

scholarly journals A new information dimension of complex networks

2014 ◽  
Vol 378 (16-17) ◽  
pp. 1091-1094 ◽  
Author(s):  
Daijun Wei ◽  
Bo Wei ◽  
Yong Hu ◽  
Haixin Zhang ◽  
Yong Deng
Keyword(s):  
Complex Networks ◽  
Information Dimension ◽  
New Information

DEFINING DIMENSION OF A COMPLEX NETWORK

2007 ◽  
Vol 21 (06) ◽  
pp. 321-326 ◽  
Author(s):  
O. SHANKER
Keyword(s):  
Statistical Mechanics ◽  
Complex Networks ◽  
Complex Network ◽  
Power Law ◽  
Regular Lattices ◽  
Extensive Property ◽  
Definition Of

An important question in statistical mechanics is the dependence of model behavior on the dimension of the system. In this paper, we discuss extending the definition of dimension from regular lattices to complex networks. We use the definition to study how the extensive property of the power law potential exponent depends on dimension.

Complex Networks

2009 ◽  
Author(s):  
Reuven Cohen ◽  
Shlomo Havlin
Keyword(s):  
Complex Networks

Complex Networks from Simple Rules

2013 ◽  
Vol 22 (2) ◽  
pp. 151-174 ◽  
Author(s):  
Richard Southwell ◽  
Jianwei Huang ◽  
Chris Cannings ◽  
◽  
Keyword(s):  
Complex Networks ◽  
Simple Rules
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