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A box-covering Tsallis information dimension and non-extensive property of complex networks

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  • Ramirez-Arellano, Aldo
  • Hernández-Simón, Luis Manuel
  • Bory-Reyes, Juan

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.

Suggested Citation

  • Ramirez-Arellano, Aldo & Hernández-Simón, Luis Manuel & Bory-Reyes, Juan, 2020. "A box-covering Tsallis information dimension and non-extensive property of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 132(C).
    • Handle: RePEc:eee:chsofr:v:132:y:2020:i:c:s0960077919305478
    DOI: 10.1016/j.chaos.2019.109590
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    7. Ramirez-Arellano, Aldo & Bermúdez-Gómez, Salvador & Hernández-Simón, Luis Manuel & Bory-Reyes, Juan, 2019. "D-summable fractal dimensions of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 119(C), pages 210-214.
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    Cited by:

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    3. Lei, Mingli, 2022. "Information dimension based on Deng entropy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    4. Ortiz-Vilchis, Pilar & Lei, Mingli & Ramirez-Arellano, Aldo, 2024. "Reformulation of Deng information dimension of complex networks based on a sigmoid asymptote," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    5. Ramirez-Arellano, Aldo & Hernández-Simón, Luis Manuel & Bory-Reyes, Juan, 2021. "Two-parameter fractional Tsallis information dimensions of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).

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