A d-summable approach to Deng information dimension of complex networks

TL;DR

This paper introduces a novel network information dimension based on Deng entropy and d-summability, enhancing theoretical understanding and practical analysis of complex networks.

Contribution

It proposes a new dimension definition integrating Deng entropy and d-summability, expanding the analytical tools for complex network analysis.

Findings

New dimension definition based on Deng entropy and d-summability

Theoretical proofs of the new measure's properties

Potential applications in network analysis

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.