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arxiv: 1106.1038 · v1 · pith:YIUWUYSVnew · submitted 2011-06-06 · 🧮 math.CO

A graph-theoretical axiomatization of oriented matroids

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keywords orientedaxiomatizationcharacterizecocircuitcocircuitsgraphgraph-theoreticalmatroid
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We characterize which systems of sign vectors are the cocircuits of an oriented matroid in terms of the cocircuit graph.

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