English

On recognising frame and lifted-graphic matroids

Combinatorics 2016-01-11 v1

Abstract

We prove that there is no polynomial p()p(\cdot) with the property that a matroid MM can be determined to be either a lifted-graphic or frame matroid using at most p(M)p(|M|) rank evaluations. This resolves two conjectures of Geelen, Gerards and Whittle (Quasi-graphic matroids, arXiv:1512.03005v1).

Keywords

Cite

@article{arxiv.1601.01791,
  title  = {On recognising frame and lifted-graphic matroids},
  author = {Rong Chen and Geoff Whittle},
  journal= {arXiv preprint arXiv:1601.01791},
  year   = {2016}
}
R2 v1 2026-06-22T12:25:19.733Z