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math.CO2024
Divisible design graphs from the symplectic graph
Bart De Bruyn, Sergey Goryainov, Willem Haemers +1
A divisible design graph is a graph whose adjacency matrix is an incidence matrix of a (group) divisible design. Divisible design graphs were introduced in 2011 as a generalization…
math.CO2024
Characterising ovoidal cones by their intersection numbers
Bart De Bruyn, Geertrui Van de Voorde
In this paper, we characterise ovoidal cones by their intersection numbers. We first show that a set of points of which intersects planes in , or …
math.CO2023
An infinite family of hyperovals of , even
Bart De Bruyn
We construct an infinite family of hyperovals on the Klein quadric , even. The construction makes use of ovoids of the symplectic generalized quadrangle that i…