English

Defining bicircular matroids in monadic logic

Combinatorics 2021-03-02 v2

Abstract

We conjecture that the class of frame matroids can be characterised by a sentence in the monadic second-order logic of matroids, and we prove that there is such a characterisation for the class of bicircular matroids. The proof does not depend on an excluded-minor characterisation.

Keywords

Cite

@article{arxiv.2005.04526,
  title  = {Defining bicircular matroids in monadic logic},
  author = {Daryl Funk and Dillon Mayhew and Mike Newman},
  journal= {arXiv preprint arXiv:2005.04526},
  year   = {2021}
}

Comments

Revised according to referee comments

R2 v1 2026-06-23T15:25:43.449Z