On the score sheets of a round-robin football tournament

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comunitat-uji-handle:10234/9

comunitat-uji-handle2:10234/7037

comunitat-uji-handle3:10234/8635

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Title
On the score sheets of a round-robin football tournament
Author (s)
Ichim, Bogdan;
Moyano Fernández, Julio José
Date
2017-10
URI
http://hdl.handle.net/10234/168285
Publisher version
http://www.sciencedirect.com/science/article/pii/S0196885817300660#ac0010
DOI
https://doi.org/10.1016/j.aam.2017.05.006
Publisher
Elsevier
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. [-]
Subject
Bibliographic 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
info:eu-repo/semantics/article
Rights
© 2017 Elsevier Inc. All rights reserved.
info:eu-repo/semantics/openAccess
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