2 papers
math.CO2024
An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings II
Jan De Beule, Sam Mattheus, Klaus Metsch
We continue our investigation of Erdős-Ko-Rado (EKR) sets of flags in spherical buildings. In previous work, we used the theory of buildings and Iwahori-Hecke algebras to obtain up…
math.CO2024
Upper bounds for the number of substructures in finite geometries from the container method
Sam Mattheus, Geertrui Van de Voorde
We use techniques from algebraic and extremal combinatorics to derive upper bounds on the number of independent sets in several (hyper)graphs arising from finite geometry. In this…