A d-SUMMABLE APPROACH TO DENG INFORMATION DIMENSION OF COMPLEX NETWORKS

Aldo Ramirez-Arellano and Juan Bory-Reyes ()
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Aldo Ramirez-Arellano: SEPI-UPIICSA, Instituto Politécnico Nacional, Mexico City 08400, México
Juan Bory-Reyes: Escuela Superior de Ingenieria Mecánica y Eléctrica, Instituto Politécnico Nacional, Edif. 5, 3er piso, U.P. Adolfo López Mateos, Mexico City 07338, México

FRACTALS (fractals), 2024, vol. 32, issue 02, 1-10

Abstract: Several new network information dimension definitions have been proposed in recent decades, expanding the scope of applicability of this seminal tool. This paper proposes a new definition based on Deng entropy and d-summability (a concept from geometric measure theory). We will prove to what extent the new formulation will be useful in the theoretical and applied points of view.

Keywords: Fractals; Information Dimensions; d-Summability; Deng Entropy; Complex Networks (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1142/S0218348X24500440

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