3 papers
math.CO2026
A cyclic flat embedding theorem for transversal -matroids
Andrew Fulcher
Cyclic flats form a common structural invariant of both matroids and -matroids, determining these objects through their weighted lattices of cyclic flats. In this paper we explo…
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.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…