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On the score sheets of a round-robin football tournament

dc.contributor.authorIchim, Bogdan
dc.contributor.authorMoyano-Fernández, Julio José
dc.date.accessioned2017-07-13T09:14:28Z
dc.date.available2017-07-13T09:14:28Z
dc.date.issued2017-10
dc.identifier.citationICHIM, Bogdan; MOYANO-FERNÁNDEZ, Julio José. On the score sheets of a round-robin football tournament. Advances in Applied Mathematics, 2017, vol. 91, p. 24-43.ca_CA
dc.identifier.urihttp://hdl.handle.net/10234/168285
dc.description.abstractThe set of (ordered) score sheets of a round-robin football tournament played between n teams together with the pointwise addition has the structure of an affine monoid. In this paper we study (using both theoretical and computational methods) the most important invariants of this monoid, namely the Hilbert basis, the multiplicity, the Hilbert series and the Hilbert function.ca_CA
dc.description.sponsorShipThe authors are greatly indebted to Winfried Bruns for pointing out the guidelines in proving Corollary 4.4 and suggesting the content of subsection 5.2. We also wish to thank Sergiu Moroianu for several helpful comments. Moreover, the authors wish to thank the University of Porto (Portugal), in particular Manuel Delgado, for making it possible several discussions during the AMS-EMS-SPM International Meeting 2015. In addition, the first author wishes to thank also the University Jaume I of Castellón, where substantial parts of the paper were written, for the invitation and hospitality.ca_CA
dc.format.extent19 p.ca_CA
dc.format.mimetypeapplication/pdfca_CA
dc.language.isoengca_CA
dc.publisherElsevierca_CA
dc.relation.isPartOfAdvances in Applied Mathematics Volume 91, October 2017ca_CA
dc.rights© 2017 Elsevier Inc. All rights reserved.ca_CA
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/*
dc.subjectscore sheetsca_CA
dc.subjectaffine monoidsca_CA
dc.subjectHilbert basisca_CA
dc.subjectMultiplicity Hilbert seriesca_CA
dc.titleOn the score sheets of a round-robin football tournamentca_CA
dc.typeinfo:eu-repo/semantics/articleca_CA
dc.identifier.doihttps://doi.org/10.1016/j.aam.2017.05.006
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessca_CA
dc.relation.publisherVersionhttp://www.sciencedirect.com/science/article/pii/S0196885817300660#ac0010ca_CA
dc.type.versioninfo:eu-repo/semantics/sumittedVersion


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