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math.CO2024
A Survey of Cameron-Liebler Sets and Low Degree Boolean Functions in Grassmann Graphs
Ferdinand Ihringer
We survey results for Cameron-Liebler sets and low degree Boolean functions for Hamming graphs, Johnson graphs and Grassmann graphs from the point of view of association schemes. T…
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.CO2024
A common generalization of hypercube partitions and ovoids in polar spaces
Jozefien D'haeseleer, Ferdinand Ihringer, Kai-Uwe Schmidt
We investigate what we call generalized ovoids, that is families of totally isotropic subspaces of finite classical polar spaces such that each maximal totally isotropic subspace c…