The critical number of $I_{1,t}$-free triangle-free binary matroids
Combinatorics
2020-11-16 v1
Abstract
A simple binary matroid, viewed as a restriction of a finite binary projective geometry , is -free if for any rank- flat of , its intersection with the matroid is not a one-element set. In this paper, we show that the simple -free and triangle-free binary matroids have bounded critical number for any .
Cite
@article{arxiv.2011.06625,
title = {The critical number of $I_{1,t}$-free triangle-free binary matroids},
author = {Peter Nelson and Kazuhiro Nomoto},
journal= {arXiv preprint arXiv:2011.06625},
year = {2020}
}