On the score sheets of a round-robin football tournament
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Title
On the score sheets of a round-robin football tournamentDate
2017-10Publisher
ElsevierBibliographic citation
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.Type
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Abstract
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 2017Rights
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- MAT_Articles [766]