Frame Matroids, Toric Ideals, and a Conjecture of White
Combinatorics
2020-04-10 v2
Abstract
Blasiak verified a conjecture of White for graphic matroids by showing that the toric ideal of a graphic matroid is generated by quadrics. In this paper, we extend this result to frame matroids satisfying a linearity condition. Such classes of matroids include graphic matroids, bicircular matroids, signed graphic matroids, and more generally frame matroids obtained from group-labelled graphs.
Keywords
Cite
@article{arxiv.1910.08587,
title = {Frame Matroids, Toric Ideals, and a Conjecture of White},
author = {Sean McGuinness},
journal= {arXiv preprint arXiv:1910.08587},
year = {2020}
}