The Templates for Some Classes of Quaternary Matroids
Combinatorics
2021-01-13 v4
Abstract
Subject to hypotheses based on the matroid structure theory of Geelen, Gerards, and Whittle, we completely characterize the highly connected members of the class of golden-mean matroids and several other closely related classes of quaternary matroids. This leads to a determination of the eventual extremal functions for these classes. One of the main tools for obtaining these results is the notion of a frame template. Consequently, we also study frame templates in significant depth.
Keywords
Cite
@article{arxiv.1902.07136,
title = {The Templates for Some Classes of Quaternary Matroids},
author = {Kevin Grace},
journal= {arXiv preprint arXiv:1902.07136},
year = {2021}
}
Comments
83 pages; minor corrections in Version 4; accepted for publication by Journal of Combinatorial Theory, Series B