Excluded minors for the class of split matroids

Abstract

Split matroids form a minor-closed class of matroids, and are defined by placing conditions on the system of split hyperplanes in the matroid base polytope. They can equivalently be defined in terms of structural properties involving cyclic flats. We confirm a conjecture of Joswig and Schröter by proving an excluded-minor characterisation of the class of split matroids.

Revised according to referee reports

References in corpus (1)

• Matroids from hypersimplex splits

Cited by in corpus (2)

• Face enumeration for split matroid polytopes
• Representing Matroids over the Reals is $\exists \mathbb{R}$-complete