5 papers
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…
The incidence matrix of a -ary graph
Michela Ceria, Relinde Jurrius
In this preprint we discuss a definition of a -ary graph. Furthermore, we describe how to make an incidence matrix for it, with an eye on the corresponding -matroid.
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…
A q-analogue of delta-matroids and related concepts
Michela Ceria, Trygve Johnsen, Relinde Jurrius
We define and study q-delta-matroids, and q-g-matroids. These objects are analogues, for finite-dimensional vector spaces over finite fields, of delta-matroids and g-matroids arisi…
Optimal routing and transmission strategies for UAV reconnaissance missions with detection threats
Riley Badenbroek, Relinde Jurrius, Lander Verlinde
We consider an autonomous reconnaissance mission where an Unmanned Aerial Vehicle (UAV) has to visit several points of interest and communicate the intel back to the base. At every…