Weighted Fractal Networks

Timoteo Carletti, Simone Righi

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    Abstract

    In this paper we define a new class of weighted complex networks sharing several properties with fractal sets, and whose topology can be completely analytically characterized in terms of the involved parameters and of the fractal dimension. The proposed framework defines an unifying general theory of fractal networks able to unravel the hidden mechanisms responsible for the emergence of fractal structures in nature.
    Original languageEnglish
    Pages (from-to)2134-2142
    Number of pages9
    JournalPhysica A
    Volume389
    Publication statusPublished - 20 Jan 2010

    Keywords

    • Fractals
    • Complex Networks
    • Scale-free networks
    • Structures and organization in complex systems

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    Carletti, T., & Righi, S. (2010). Weighted Fractal Networks. Physica A, 389, 2134-2142.