Ramirez-Arellano, A.; De-la-Cruz-Garcia, J.-S.; Bory-Reyes, J. A Fractional (q,q′) Non-Extensive Information Dimension for Complex Networks. Fractal Fract.2023, 7, 702.
Ramirez-Arellano, A.; De-la-Cruz-Garcia, J.-S.; Bory-Reyes, J. A Fractional (q,q′) Non-Extensive Information Dimension for Complex Networks. Fractal Fract. 2023, 7, 702.
Ramirez-Arellano, A.; De-la-Cruz-Garcia, J.-S.; Bory-Reyes, J. A Fractional (q,q′) Non-Extensive Information Dimension for Complex Networks. Fractal Fract.2023, 7, 702.
Ramirez-Arellano, A.; De-la-Cruz-Garcia, J.-S.; Bory-Reyes, J. A Fractional (q,q′) Non-Extensive Information Dimension for Complex Networks. Fractal Fract. 2023, 7, 702.
Abstract
This article introduces a new fractional approach to the concept of information dimension of complex networks, based on a (q,q′)-entropy proposed in the literature. The q parameter measures how far is the number of subsystems (for a given size ε) from the mean number of overall sizes. The q′ (interaction index) measures when the interactions between subsystems are greater (q′>1), lesser (q′<1) or equal to the interactions into these subsystems. The computations of the proposed information dimension are carried out on several real-world and synthetic complex networks. The results from the proposed information dimension are compared with those from the information dimension based on the Shannon entropy.
Keywords
Complex networks; measures of information; fractional order entropy
Subject
Computer Science and Mathematics, Mathematics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
