Representability of Flag Matroids

Daniel Irving Bernstein; Nathaniel Vaduthala

Representability of Flag Matroids

Combinatorics 2026-04-15 v2

Authors: Daniel Irving Bernstein , Nathaniel Vaduthala

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.

Keywords

matroid theory

Cite

@article{arxiv.2504.00267,
  title  = {Representability of Flag Matroids},
  author = {Daniel Irving Bernstein and Nathaniel Vaduthala},
  journal= {arXiv preprint arXiv:2504.00267},
  year   = {2026}
}

Comments

Added results on regular full flag matroids

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