English

The smallest $I_5$-free and triangle-free binary matroids

Combinatorics 2020-11-03 v1

Abstract

We determine the smallest simple triangle-free binary matroids that have no five-element independent flat. This solves a special case of a conjecture of Nelson and Norin.

Cite

@article{arxiv.2011.00151,
  title  = {The smallest $I_5$-free and triangle-free binary matroids},
  author = {Peter Nelson and Kazuhiro Nomoto},
  journal= {arXiv preprint arXiv:2011.00151},
  year   = {2020}
}
R2 v1 2026-06-23T19:47:56.938Z