Two-parameter fractional Tsallis information dimensions of complex networks

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

Chaos, Solitons & Fractals, 2021, vol. 150, issue C

Abstract: A two-parameter (namely, α→ and β→) fractional Tsallis information dimensions of complex networks based on q−logarithm is introduced. The meanings assigned to such parameters are the quantification of the interaction among the elements (nodes) that are part of the same sub-system (sub-network) and the interaction among the sub-systems (sub-networks), respectively. Also, the index of interaction ι – formulated based on the α→ and β→– captures the networks’ complex topology.

Keywords: Complex networks; Entropy; Information dimension; Fractional derivative (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:150:y:2021:i:c:s0960077921004677

DOI: 10.1016/j.chaos.2021.111113

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