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Results tagged with oriented-matroids
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user 24076
Hyperplane arrangements, discrete geometry, convex polytopes, and optimization. For more general questions concerning matroids, use the matroid-theory tag.
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Circuits in a linear oriented matroid
Yes. If the dependence is minimal, then $(S^+, S^-)$ is a signed circuit. Now suppose that the dependence is not minimal. Then there is a subset $T\subsetneq S$ and a dependence
$$\sum_{v\in T} \mu_v …
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