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math.CO2024
Representability of the direct sum of uniform q-matroids
Gianira N. Alfarano, Relinde Jurrius, Alessandro Neri +1
There are many similarities between the theories of matroids and -matroids. However, when dealing with the direct sum of -matroids many differences arise. Most notably, it ha…
math.CO2024
Eigenvalue bounds for the distance- chromatic number of a graph and their application to Lee codes
Aida Abiad, Alessandro Neri, Luuk Reijnders
We derive eigenvalue bounds for the -distance chromatic number of a graph, which is a generalization of the classical chromatic number. We apply such bounds to hypercube graphs,…