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math.CO2021
The direct sum of -matroids
Michela Ceria, Relinde Jurrius
For classical matroids, the direct sum is one of the most straightforward methods to make a new matroid out of existing ones. This paper defines a direct sum for -matroids, the…
math.CO2021
Weighted Subspace Designs from -Polymatroids
Eimear Byrne, Michela Ceria, Sorina Ionica +1
The Assmus-Mattson theorem gives a way to identify block designs arising from codes. This result was broadened to matroids and weighted designs. In this work we present a further t…
math.CO2021
Constructions of New q-Cryptomorphisms
Eimear Byrne, Michela Ceria, Relinde Jurrius
In the theory of classical matroids, there are several known equivalent axiomatic systems that define a matroid, which are described as matroid cryptomorphisms. A q-matroid is a q-…