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

Aldo Ramirez-Arellano, Luis Manuel Hernández-Simón and Juan Bory-Reyes

Chaos, Solitons & Fractals, 2020, vol. 132, issue C

Abstract: 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.

Keywords: Fractals; Information dimension; Tsallis information dimension; Non-extensive complex networks; Entropic parameter (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305478

DOI: 10.1016/j.chaos.2019.109590

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