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

Fractals Pub Date : 2024-02-19 DOI:10.1142/s0218348x24500440
ALDO RAMIREZ-ARELLANO, JUAN BORY-REYES
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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.

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复杂网络的登信息维度 d-SUMMABLE 方法
近几十年来,人们提出了一些新的网络信息维度定义,扩大了这一开创性工具的适用范围。本文提出的新定义基于邓熵和 d-可求和性(几何度量理论中的一个概念)。我们将从理论和应用角度证明新定义的实用性。
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