6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.CO2021
The excluded minors for lattice path polymatroids
Joseph Bonin, Carolyn Chun, Tara Fife
We find the excluded minors for the minor-closed class of lattice path polymatroids as a subclass of the minor-closed class of Boolean polymatroids. Like lattice path matroids and…
math.CO2010★ 6 cited
Sparse paving matroids, basis-exchange properties, and cyclic flats
Joseph E. Bonin
We provide evidence for five long-standing, basis-exchange conjectures for matroids by proving them for the enormous class of sparse paving matroids. We also explore the role that…
math.CO2009
Splicing Matroids
Joseph E. Bonin, William R. Schmitt
We introduce and study a natural variant of matroid amalgams. For matroids M(A) and N(B) such that M/(A-B)=N(B-A), we define a splice of M and N to be a matroid L on the union of A…