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

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

Research output: Contribution to journalArticle

Abstract

© 2019 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.
Original languageAmerican English
JournalChaos, Solitons and Fractals
DOIs
StatePublished - 1 Mar 2020

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