English

Almost every matroid has an $M(K_4)$- or a $\mathcal{W}^3$-minor

Combinatorics 2021-11-24 v1

Abstract

We show that almost every matroid contains the rank-3 whirl W3\mathcal{W}^3 or the complete-graphic matroid M(K4)M(K_4) as a minor.

Keywords

Cite

@article{arxiv.2111.11577,
  title  = {Almost every matroid has an $M(K_4)$- or a $\mathcal{W}^3$-minor},
  author = {Jorn van der Pol},
  journal= {arXiv preprint arXiv:2111.11577},
  year   = {2021}
}

Comments

8 pages, 2 figures