Flip graphs of matroids are expanders:
Gil Kalai reports on a new proof by Nima Anari, Kuikui Liu, Shayan Oveis Gharan, and Cynthia Vinzant of a conjecture by Milena Mihail and Umesh Vazirani that any subset \( S \) of at most half of the bases of a matroid has at least \( |S| \) flips to a base outside \( S \).

Based on a preprint at, via

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