6 papers · 1 filter
Counting q-Matroids
Benjamin Jany, Relinde Jurrius, Rudi Pendavingh
-Matroids, a -analogue of classical matroids have attracted a lot of attention over the last decade, yet their enumeration remains largely unexplored. In this paper, we study…
Intersecting Codes and the Connectivity of -Matroids
Fabrizio Conca, Benjamin Jany, Alberto Ravagnani
We investigate the structure of intersecting error-correcting codes, with a particular focus on their connection to matroid theory. We establish properties and bounds for intersect…
Polynomial Invariants of q-Matroids and Rank-Metric Codes
Heide Gluesing-Luerssen, Benjamin Jany
It is shown that the Whitney function of a representable q-matroid and the collection of all higher weight enumerators of any representing rank-metric code determine each other via…
Eigenvalue bounds for the quantum chromatic number of graph powers
Aida Abiad, Benjamin Jany
The quantum chromatic number, a generalization of the chromatic number, was first defined in relation to the non-local quantum coloring game. We generalize the former by defining t…
The Cloud and Flock Polynomials of q-Matroids
Heide Gluesing-Luerssen, Benjamin Jany
We show that the Whitney function of a q-matroid can be determined from the cloud and flock polynomials associated to the cyclic flats. These polynomials capture information about…
-Balanced Codes with the Kendall- Metric
Benjamin Jany, Alberto Ravagnani
We investigate the maximum cardinality and the mathematical structure of error-correcting codes endowed with the Kendall- metric. We establish an averaging bound for the cardina…