2 papers
math.CO2025
Unavoidable Minors of Matroids with Minimum Cocircuit Size Four
Matthew Mizell, James Oxley
In 1963, Halin and Jung proved that every simple graph with minimum degree at least four has or as a minor. Mills and Turner proved an analog of this theorem by s…
math.CO2023
Matroids Arising From Nested Sequences of Flats In Projective And Affine Geometries
Matthew Mizell, James Oxley
Targets are matroids that arise from a nested sequence of flats in a projective geometry. This class of matroids was introduced by Nelson and Nomoto, who found the forbidden induce…