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Long-range connections and mixed diffusion in fractional networks

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  • R. Vilela Mendes
  • Tanya Araújo
Abstract
Networks with long-range connections, obeying a distance-dependent power law of sufficiently small exponent, display superdiffusion, L´evy flights and robustness properties very different from the scale-free networks. It has been proposed that these networks, found both in society and in biology, be classified as a new structure, the fractional networks. Particular important examples are the social networks and the modular hierarchical brain networks where both short- and long-range connections are present. The anomalous superdiffusive and the mixed diffusion behavior of these networks is studied here as well as its relation to the nature and density of the long-range connections.

Suggested Citation

  • R. Vilela Mendes & Tanya Araújo, 2022. "Long-range connections and mixed diffusion in fractional networks," Working Papers REM 2022/0223, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.
    • Handle: RePEc:ise:remwps:wp02232022
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    References listed on IDEAS

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    1. Matsuzawa, Ryo & Tanimoto, Jun & Fukuda, Eriko, 2017. "Properties of a new small-world network with spatially biased random shortcuts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 486(C), pages 408-415.
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