TY - JOUR
T1 - A box-covering Tsallis information dimension and non-extensive property of complex networks
AU - Ramirez-Arellano, Aldo
AU - Hernández-Simón, Luis Manuel
AU - Bory-Reyes, Juan
N1 - Publisher Copyright:
© 2019
PY - 2020/3
Y1 - 2020/3
N2 - In this article, a box-covering Tsallis information dimension is introduced, and the physical interpretation of this new dimension has been assigned. Moreover, based on the introduced parameter q→, a characterization of non-extensive networks is stated, allowing the classification according to super-extensive (q→≺1), sub-extensive (q→≻1) or extensive (q→=1). The experimental results on both synthetic and real complex networks shed light on the type of interaction of the boxes. The results support the conjecture that the box-covering Tsallis information dimension is a suitable and flexible measure of information of real complex networks that exhibit a rich structural diversity.
AB - In this article, a box-covering Tsallis information dimension is introduced, and the physical interpretation of this new dimension has been assigned. Moreover, based on the introduced parameter q→, a characterization of non-extensive networks is stated, allowing the classification according to super-extensive (q→≺1), sub-extensive (q→≻1) or extensive (q→=1). The experimental results on both synthetic and real complex networks shed light on the type of interaction of the boxes. The results support the conjecture that the box-covering Tsallis information dimension is a suitable and flexible measure of information of real complex networks that exhibit a rich structural diversity.
KW - Entropic parameter
KW - Fractals
KW - Information dimension
KW - Non-extensive complex networks
KW - Tsallis information dimension
UR - http://www.scopus.com/inward/record.url?scp=85077327781&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2019.109590
DO - 10.1016/j.chaos.2019.109590
M3 - Artículo
AN - SCOPUS:85077327781
SN - 0960-0779
VL - 132
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
M1 - 109590
ER -