Covering relations,closest orderings and hamiltonian bypaths in tournaments |
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| Authors: | Jeffrey S Banks Georges Bordes Michel Le Breton |
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| Institution: | (1) Departments of Economics and Political Science, University of Rochester, 14627 Rochester, NY, USA;(2) L.A.R.E., Faculté des Sciences économiques et de Gestion, Université de Bordeaux I, Avenue Léon Duguit, F-33604 Pessac Cédex, France;(3) GREQE, Université d'Aix-Marseille II et EHESS, 2, rue de la Charité, F-13002 Marseille, France |
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| Abstract: | We show that the Slater's set of a tournament, i.e. the set of the top elements of the closest orderings, is a subset of the top cycle of the uncovered set of the tournament. We also show that the covering relation is related to the hamiltonian bypaths of a strong tournament in that if x covers y, then there exists an hamiltonian bypath from x to y.We thank B. Monjardet and an anonymous editor for helpful suggestions. |
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