Seminars and Colloquiums

Every minor-closed class of matroids of bounded branch-width can be characterized by a minimal list of excluded minors, but unlike graphs, this list could be infinite in general. However, for each fixed finite field $\mathbb{F}$, the list contains only finitely many $\mathbb{F}$-representable matroids, due to the well-quasi-ordering of $\mathbb{F}$-representable matroids of bounded …