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A new method for comparing rankings through complex networks: Model and analysis of competitiveness of major European soccer leagues

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A new method for comparing rankings through complex networks: Model and analysis of competitiveness of major European soccer leagues

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dc.contributor.author Criado Herrero, Regino es_ES
dc.contributor.author García González, Esther es_ES
dc.contributor.author Pedroche Sánchez, Francisco es_ES
dc.contributor.author Romance, Miguel es_ES
dc.date.accessioned 2014-04-16T12:20:21Z
dc.date.issued 2013-10-31
dc.identifier.issn 1054-1500
dc.identifier.uri http://hdl.handle.net/10251/37048
dc.description.abstract In this paper, we show a new technique to analyze families of rankings. In particular, we focus on sports rankings and, more precisely, on soccer leagues. We consider that two teams compete when they change their relative positions in consecutive rankings. This allows to define a graph by linking teams that compete. We show how to use some structural properties of this competitivity graph to measure to what extend the teams in a league compete. These structural properties are the mean degree, the mean strength, and the clustering coefficient. We give a generalization of the Kendall's correlation coefficient to more than two rankings. We also show how to make a dynamic analysis of a league and how to compare different leagues. We apply this technique to analyze the four major European soccer leagues: Bundesliga, Italian Lega, Spanish Liga, and Premier League. We compare our results with the classical analysis of sport ranking based on measures of competitive balance. es_ES
dc.description.sponsorship This paper was partially supported by Spanish MICINN Funds and FEDER Funds MTM2009-13848, MTM2010-16153 and MTM2010-18674, and Junta de Andalucia Funds FQM-264. en_EN
dc.language Inglés es_ES
dc.publisher American Institute of Physics (AIP) es_ES
dc.relation.ispartof Chaos es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title A new method for comparing rankings through complex networks: Model and analysis of competitiveness of major European soccer leagues es_ES
dc.type Artículo es_ES
dc.embargo.lift 10000-01-01
dc.embargo.terms forever es_ES
dc.identifier.doi 10.1063/1.4826446
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2009-13848/ES/Analisis Estructural, Optimizacion Y Dinamica En Sistemas Reales Con Estructuras Tipo Red/ / es_ES
dc.relation.projectID info:eu-repo/grantAgreement/Junta de Andalucía//FQM-264/ES/Estructuras De Jordan/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-16153/ES/SISTEMAS DE JORDAN Y ALGEBRAS DE LIE/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.description.bibliographicCitation Criado Herrero, R.; García González, E.; Pedroche Sánchez, F.; Romance, M. (2013). A new method for comparing rankings through complex networks: Model and analysis of competitiveness of major European soccer leagues. Chaos. 23(4):1-10. https://doi.org/10.1063/1.4826446 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1063/1.4826446 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 23 es_ES
dc.description.issue 4 es_ES
dc.relation.senia 255956
dc.contributor.funder Junta de Andalucía es_ES
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