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.
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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 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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