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• W2774870166 abstract "Las Vergnas's active orders are a collection of partial orders on the bases of a matroid which are derived from the classical notion of matroid activity. In this paper, we construct a generalization of Las Vergnas's external order which is defined on the independence complex of a matroid. We show that this poset is a refinement of the geometric lattice of flats of the matroid, and has the structure of a supersolvable join-distributive lattice. We uniquely characterize the lattices which are isomorphic to the external order of a matroid, and we explore a correspondence between matroid and antimatroid minors which arises from the poset construction." @default.
• W2774870166 created "2017-12-22" @default.
• W2774870166 creator A5019995213 @default.
• W2774870166 date "2017-12-12" @default.
• W2774870166 modified "2023-09-27" @default.
• W2774870166 title "Matroids, antimatroids, and the generalized external order" @default.
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