paper

On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids

arXiv:1903.04910 · doi:10.1137/20M1369403

Abstract

Subject to announced results by Geelen, Gerards, and Whittle, we completely characterize the highly connected members of the classes of dyadic, near-regular, and sixth-root-of-unity matroids.

In Version 3, improvements have been made to the proofs of Lemma 4.4 and Theorem 1.1. There are more minor corrections also. SageMath worksheet is in ancillary files. 32 pages, accepted for publication by SIAM Journal on Discrete Mathematics