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Deterministic hierarchical networks

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Issue date
2016-05
Author
Barrière, Lali
Comellas, Francesc
Dalfó, Cristina
Fiol, Miguel Angel
Suggested citation
Barrière, Lali; Comellas, Francesc; Dalfó, Cristina; Fiol, Miguel Angel; . (2016) . Deterministic hierarchical networks. Journal of Physics A: Mathematical and Theoretical, vol. 49, núm. 22. https://doi.org/10.1088/1751-8113/49/22/225202.
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Abstract
It has been shown that many networks associated with complex systems are small-world (they have both a large local clustering coefficient and a small diameter) and they are also scale-free (the degrees are distributed according to a power law). Moreover, these networks are very often hierarchical, as they describe the modularity of the systems that are modeled. Most of the studies for complex networks are based on stochastic methods. However, a determin- istic method, with an exact determination of the main relevant parameters of the networks, has proven useful. Indeed, this approach complements and enhances the probabilistic and simulation techniques and, therefore, it pro- vides a better understanding of the modeled systems. In this paper we nd the radius, diameter, clustering coefficient and degree distribution of a generic family of deterministic hierarchical small-world scale-free networks that has been considered for modeling real-life complex systems.
URI
http://hdl.handle.net/10459.1/72567
DOI
https://doi.org/10.1088/1751-8113/49/22/225202
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Journal of Physics A: Mathematical and Theoretical, vol. 49, núm. 22
European research projects
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  • Articles publicats (Matemàtica) [329]

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