3 papers
math.CO2025
The cyclic flats of -polymatroids
Eimear Byrne, Andrew Fulcher
We consider structural properties of -polymatroids, especially those defined on a finite complemented modular lattice . We introduce a set of cover-weight…
math.CO2025
Recursive properties of the characteristic polynomial of weighted lattices
Gianira N. Alfarano, Eimear Byrne
In this paper, we describe properties of the characteristic polynomial of a weighted lattice and show that it has a recursive description, which we use to obtain results on the cri…
math.CO2024
The free product of -matroids
Gianira N. Alfarano, Eimear Byrne, Andrew Fulcher
We introduce the notion of the free product of -matroids, which is the -analogue of the free product of matroids. We study the properties of this noncommutative binary operat…