Partial Orders on Weak Orders Convex Subsets |
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Authors: | Müller Haiko Rampon Jean-Xavier |
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Affiliation: | (1) Institut für Informatik, FSU Jena, 07740 Jena, Germany;(2) FST de l'Université de Nantes, 2 rue de la Houssinière, B.P. 92208, 44322 Nantes Cedex 3, France |
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Abstract: | We study a visibility relation on the nonempty connected convex subsets of a finite partially ordered set and we investigate the partial orders representable as a visibility relation of such subsets of a weak order. Moreover, we consider restrictions where the subsets of the weak order are total orders or isomorphic total orders. |
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Keywords: | convex set partially ordered set visibility relation weak order |
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