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

    1 Scopus citations

    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.

    Original languageEnglish
    Article number109590
    JournalChaos, Solitons and Fractals
    Volume132
    DOIs
    StatePublished - Mar 2020

    Keywords

    • Entropic parameter
    • Fractals
    • Information dimension
    • Non-extensive complex networks
    • Tsallis information dimension

    Fingerprint Dive into the research topics of 'A box-covering Tsallis information dimension and non-extensive property of complex networks'. Together they form a unique fingerprint.

  • Cite this