A graph-theoretical axiomatization of oriented matroids

Abstract : We characterize which systems of sign vectors are the cocircuits of an oriented matroid in terms of the cocircuit graph.
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https://hal.archives-ouvertes.fr/hal-01457945
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Kolja Knauer, Juan Montellano-Ballesteros, Ricardo Strausz. A graph-theoretical axiomatization of oriented matroids. European Journal of Combinatorics, Elsevier, 2014. ⟨hal-01457945⟩

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