A graph-theoretical axiomatization of oriented matroids

We characterize which systems of sign vectors are the co circuits of an oriented matroid in terms of the co circuit graph.

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Bibliographic Details
Published in:Electronic notes in discrete mathematics 2011-12, Vol.38, p.523-528
Main Authors: Knauer, Kolja, Montellano-Ballesteros, Juan José, Strausz, Ricardo
Format: Article
Language:English
Subjects:
big face lattice
co circuit graph
Oriented matroids
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Description
Summary:We characterize which systems of sign vectors are the co circuits of an oriented matroid in terms of the co circuit graph.
ISSN:1571-0653
1571-0653
DOI:10.1016/j.endm.2011.09.085