On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids
Combinatorics
2021-08-17 v3
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.
Keywords
Cite
@article{arxiv.1903.04910,
title = {On the Highly Connected Dyadic, Near-Regular, and Sixth-Root-of-Unity Matroids},
author = {Ben Clark and Kevin Grace and James Oxley and Stefan H. M. van Zwam},
journal= {arXiv preprint arXiv:1903.04910},
year = {2021}
}
Comments
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