Large convex sets in oriented matroids
type: Item
instance of: scholarly article
title: Large convex sets in oriented matroids
zbMATH Open document ID: 0609.05026
DOI: 10.1016/0095-8956(88)90074-3
author: J. Richard Buchi
author: William E. Fenton
published in: Journal of Combinatorial Theory. Series B
publication date: 1988-01-01T00:00:00Z
review text: After a brief discussion of the axiom systems for oriented matroids we consider two basic types of convex sets, arising from the opposition, and establish some fundamental properties. These are used to investigate large convex sets, those containing at least one element from each opposite pair. A characterization is given for large convex sets, three types are examined, and the relationships between these three types are shown. These relationships are particularly strong in a dense space.
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 3985243
zbMATH Keywords: oriented matroids
zbMATH Keywords: large convex sets
MaRDI profile type: Publication
full work available at URL: 0095-8956(88)90074-3
OpenAlex ID: W2060172222
cites work: A combinatorial abstraction of linear programming
cites work: Orientability of matroids
cites work: Oriented matroids
cites work: Maximal convex sets
cites work: Q4104377
cites work: Q4058679
cites work: On n-ordered sets and order completeness
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description: scientific article; zbMATH DE number 3985243