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Weighted Fractal Networks

Carletti, T; Righi, S; (2010) Weighted Fractal Networks. Physica A - Statistical Mechanics and Its Applications , 389 (10) pp. 2134-2142. 10.1016/j.physa.2010.01.019. Green open access

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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. General networks with fractal or hierarchical structures can be set in the proposed framework that moreover could be used to provide some answers to the widespread emergence of fractal structures in nature.

Type: Article
Title: Weighted Fractal Networks
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.physa.2010.01.019
Publisher version: https://doi.org/10.1016/j.physa.2010.01.019
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Complex networks, Structures and organization in complex systems, Scale-free networks, Fractals
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10053117
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