On the structure of dense triangle-free binary matroids

Abstract

We prove, by means of an exact structural description, that every simple triangle-free binary matroid $M$ with $|M|>\frac{33}{128}{2}^{r(M)}$ has critical number at most $2$.

This paper has been withdrawn by the authors as its content is mostly subsumed by previous, recently discovered papers

References in corpus (1)

• The critical number of dense triangle-free binary matroids