The Highly Connected Matroids in Minor-closed Classes

Abstract

For any minor-closed class of matroids over a fixed finite field, we state an exact structural characterization for the sufficiently connected matroids in the class. We also state a number of conjectures that might be approachable using the structural characterization.

Last author version, 19 pages, 2 figures

References in corpus (1)

• A Decomposition Theory for Binary Linear Codes

Cited by in corpus (1)

• On the existence of asymptotically good linear codes in minor-closed classes