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arXiv · 2509.18510

Curvature of basis exchange walks

Isabel Detherage
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Abstract

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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Isabel Detherage. 2025-09-23. Curvature of basis exchange walks. https://arxiv.org/abs/2509.18510

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