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dc.contributor.authorBarrière Figueroa, Eulalia
dc.contributor.authorComellas Padró, Francesc de Paula
dc.contributor.authorDalfó Simó, Cristina
dc.contributor.authorFiol Mora, Miquel Àngel
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtiques
dc.date.accessioned2016-09-14T12:16:25Z
dc.date.available2017-05-03T00:30:22Z
dc.date.issued2016
dc.identifier.citationBarriere, E., Comellas, F., Dalfo, C., Fiol, M. Deterministic hierarchical networks. "Journal of physics A. Mathematical and theoretical", 2016, vol. 49, núm. 22, p. 1-19.
dc.identifier.issn1751-8113
dc.identifier.urihttp://hdl.handle.net/2117/89918
dc.description.abstractIt 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 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 deterministic 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 provides a better understanding of the modeled systems. In this paper we find 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.format.extent19 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Programació matemàtica
dc.subject.lcshProgramming (Mathematics)
dc.subject.lcshArtificial intelligence
dc.subject.otherhierarchical network
dc.subject.othersmall-world
dc.subject.otherscale-free
dc.subject.otherdegree
dc.subject.otherdiameter
dc.subject.otherclustering
dc.titleDeterministic hierarchical networks
dc.typeArticle
dc.subject.lemacProgramació (Matemàtica)
dc.subject.lemacIntel·ligència artificial
dc.contributor.groupUniversitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.identifier.doi10.1088/1751-8113/49/22/225202
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::65 Numerical analysis::65K Mathematical programming, optimization and variational techniques
dc.subject.amsClassificació AMS::68 Computer science::68T Artificial intelligence
dc.rights.accessOpen Access
local.identifier.drac17750185
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/MINECO//MTM2014-60127-P/ES/TECNICAS DE OPTIMIZACION EN TEORIA DE GRAFOS, GRUPOS Y COMBINATORIA. APLICACIONES A REDES, ALGORITMOS Y PROTOCOLOS DE COMUNICACION./
local.citation.authorBarriere, E.; Comellas, F.; Dalfo, C.; Fiol, M.
local.citation.publicationNameJournal of physics A. Mathematical and theoretical
local.citation.volume49
local.citation.number22
local.citation.startingPage1
local.citation.endingPage19


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