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arXiv · 2504.00267

Representability of Flag Matroids

Daniel Irving Bernstein·Nathaniel Vaduthala
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Abstract

We provide a new axiom system for flag matroids, characterize representability of uniform flag matroids, and give forbidden minor characterizations of full flag matroids that are representable over $\mathbb{F}_2$ and $\mathbb{F}_3$ along with regular full flag matroids. We also provide different equivalent characterizations for regular full flag matroids.

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Daniel Irving Bernstein, Nathaniel Vaduthala. 2026-04-13. Representability of Flag Matroids. https://arxiv.org/abs/2504.00267

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