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Deterministic hierarchical networks

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dc.creator Barrière, Lali
dc.creator Comellas Padró, Francesc
dc.creator Dalfó, Cristina
dc.creator Fiol Mora, Miguel Ángel
dc.date 2016-05
dc.date.accessioned 2025-11-03T12:14:51Z
dc.date.available 2025-11-03T12:14:51Z
dc.identifier https://doi.org/10.1088/1751-8113/49/22/225202
dc.identifier 1751-8113
dc.identifier http://hdl.handle.net/10459.1/72567
dc.identifier.uri http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/23860
dc.description 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.
dc.description This research was supported by the Ministerio de Economía y Competitividad (Spain) and the European Regional Development Fund under project MTM2014-60127-P, and the Catalan Research Council under project 2014SGR1147.
dc.language eng
dc.publisher IOP Publishing
dc.relation MINECO/PN2013-2016/MTM2014-60127-P
dc.relation Versió postprint del document publicat: https://doi.org/10.1088/1751-8113/49/22/225202
dc.relation Journal of Physics A: Mathematical and Theoretical, vol. 49, núm. 22
dc.rights © IOP Publishing Ltd, 2016
dc.rights info:eu-repo/semantics/openAccess
dc.subject Hierarchical network
dc.subject Small-word
dc.subject Scale-free
dc.subject Degree
dc.subject Diameter
dc.subject Clustering
dc.title Deterministic hierarchical networks
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/acceptedVersion


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