On the score sheets of a round-robin football tournament
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On the score sheets of a round-robin football tournamentData de publicació
2017-10Editor
ElsevierCita bibliogràfica
ICHIM, 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.Tipus de document
info:eu-repo/semantics/articleVersió de l'editorial
http://www.sciencedirect.com/science/article/pii/S0196885817300660#ac0010Versió
info:eu-repo/semantics/sumittedVersionParaules clau / Matèries
Resum
The 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 ... [+]
The 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. [-]
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Advances in Applied Mathematics Volume 91, October 2017Drets d'accés
© 2017 Elsevier Inc. All rights reserved.
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info:eu-repo/semantics/openAccess
http://rightsstatements.org/vocab/InC/1.0/
info:eu-repo/semantics/openAccess
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