2 papers
math.CO2019
Frame Matroids, Toric Ideals, and a Conjecture of White
Sean McGuinness
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 f…
math.CO2019
Girth conditions and Rota's basis conjecture
Benjamin Friedman, Sean McGuinness
Rota's basis conjecture (RBC) states that given a collection of bases in a matroid of rank , one can always find disjoint rainbow bases with respect to…