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math.CO updates on arXiv.org

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Curvature of basis exchange walks
Isabel Detherage · 2025-09-23 · via math.CO updates on arXiv.org

We prove both lower and upper bounds on the Ollivier-Ricci curvature of the basis exchange walk on a matroid. We give several examples of non-negatively curved basis exchange walks and negatively curved basis exchange walks.

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