English

Well-quasi-ordering in lattice path matroids

Combinatorics 2018-06-28 v1

Abstract

Lattice path matroids form a subclass of transversal matroids and were introduced by Bonin, de Mier and Noy. Transversal matroids are not well-quasi-ordered, even when the branch-width is restricted. Though lattice path matroids are not well-quasi-ordered, we prove that lattice path matroids of bounded branch-width are well-quasi-ordered.

Keywords

Cite

@article{arxiv.1806.10260,
  title  = {Well-quasi-ordering in lattice path matroids},
  author = {Meenu Mariya Jose and Dillon Mayhew},
  journal= {arXiv preprint arXiv:1806.10260},
  year   = {2018}
}
R2 v1 2026-06-23T02:42:57.238Z