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Dans cet article on étudie les propriétés d’ordres totaux à distance minimum d’un ensemble de tournois ; on montre, par exemple, que ces ordres contiennent l’ordre d’unanimité. On étudie la fonction maximum de la distance entre un ordre total et tournois définis sur un ensemble à éléments ; on donne sa valeur exacte pour pair, un encadrement pour impair, et sa valeur limite pour tendant vers l’infini.
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