3 papers
math.CO2025
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
New bounds and constructions for large partial -ovoids and related structures
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…
math.LO2022
Simple Foundations for the Hyperbolic Plane
John Bamberg, Tim Penttila
H. L. Skala (1992) gave the first elegant first-order axiom system for hyperbolic geometry by replacing Menger's axiom involving projectivities with the theorems of Pappus and Desa…