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

## TL;DR

This paper fully characterizes highly connected members within the classes of dyadic, near-regular, and sixth-root-of-unity matroids, based on recent significant results.

## Contribution

It provides a complete characterization of highly connected matroids in these classes, advancing understanding in matroid theory.

## Key findings

- Complete classification of highly connected dyadic matroids
- Complete classification of highly connected near-regular matroids
- Complete classification of highly connected sixth-root-of-unity matroids

## 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.