Jorn G. van der Pol

collaborators

2 papers

math.CO2025

TurÃ¡n's theorem for Dowling geometries

Rutger Campbell, Donggyu Kim, Jorn van der Pol

The Dowling geometry $Q_{n} (I^)$ , where $I^$ is a finite group, is a matroid that generalizes the complete-graphic matroid $M (K_{n + 1})$ . We determine the maximum size of an $N$ -free…

math.CO2025

TurÃ¡n densities for matroid basis hypergraphs

Jorn van der Pol, Zach Walsh, Michael C. Wigal

Let $U$ be a uniform matroid. For all positive integers $n$ and $r$ with $n \geq r$ , what is the maximum number of bases of an $n$ -element, rank- $r$ matroid without $U$ as a minor?…