67 citations · 110 across the 23 of their papers we have counts for
Showing 2022 · math.COShow all
3 papers · 2 filters
math.CO2022
Invariants of Tutte Partitions and a -Analogue
Eimear Byrne, Andrew Fulcher
We describe a construction of the Tutte polynomial for both matroids and -matroids based on an appropriate partition of the underlying support lattice into intervals that corres…
math.CO2022
Saturating systems and the rank covering radius
Matteo Bonini, Martino Borello, Eimear Byrne
We introduce the concept of a rank saturating system and outline its correspondence to a rank-metric code with a given covering radius. We consider the problem of finding the value…
math.CO2022
The Cyclic Flats of a -Matroid
Gianira N. Alfarano, Eimear Byrne
In this paper we develop the theory of cyclic flats of -matroids. We show that the lattice of cyclic flats, together with their ranks, uniquely determines a -matroid and henc…