2 papers
math.CO2026
On the association scheme of perfect matchings and their designs
John Bamberg, Lukas Klawuhn
We investigate generalisations of 1-factorisations and hyperfactorisations of the complete graph . We show that they are special subsets of the association scheme obtained…
math.CO2024
Ramsey numbers and extremal structures in polar spaces
John Bamberg, Anurag Bishnoi, Ferdinand Ihringer +1
We use -rank bounds on partial ovoids and the classical bounds on Ramsey numbers to obtain upper bounds on the size of partial -ovoids in finite classical polar spaces. These…