The excluded minors for the intersection of bicircular and lattice path matroids
Combinatorics
2024-02-20 v2
Abstract
The classes of bicircular matroids and lattice path matroids are closed under minors. The complete list of excluded minors for the class of lattice path matroids is known, and it has been recently shown that the analogous list for the class of bicircular matroids is finite. In this paper, we establish the complete list of excluded minors for the class of matroids that is the intersection of these two classes. This resolves a recently posed open problem.
Keywords
Cite
@article{arxiv.2304.00796,
title = {The excluded minors for the intersection of bicircular and lattice path matroids},
author = {Emma Hogan and Charles Semple},
journal= {arXiv preprint arXiv:2304.00796},
year = {2024}
}
Comments
22 pages, 10 figures