On the consistency of score sheets of a round-robin football tournament

Bogdan Ichim, Julio José Moyano-Fernández

In this paper we introduce the submonoids ${\mathcal{R}}_n$, resp. ${\mathcal{C}}_n$, of the monoid ${\mathcal{M}}_n$ of ordered score sheets of a robin-round tournament played by $n$ te…