English

The internally 4-connected binary matroids with no M(K5\e)-minor

Combinatorics 2012-02-20 v1

Abstract

Let AG(3,2)xU(1,1) denote the binary matroid obtained from the direct sum of AG(3,2) and a coloop by completing the 3-point lines between every element in AG(3,2) and the coloop. We prove that every internally 4-connected binary matroid that does not have a minor isomorphic to M(K5\e) is isomorphic to a minor of (AG(3,2)xU(1,1))*.

Keywords

Cite

@article{arxiv.1202.3843,
  title  = {The internally 4-connected binary matroids with no M(K5\e)-minor},
  author = {Dillon Mayhew and Gordon Royle},
  journal= {arXiv preprint arXiv:1202.3843},
  year   = {2012}
}

Comments

16 pages, 4 figures

R2 v1 2026-06-21T20:20:58.492Z