4 papers · 1 filter
Anzahl theorems for trivially intersecting subspaces generating a non-singular subspace I: symplectic and hermitian forms
Maarten De Boeck, Geertrui Van de Voorde
In this paper, we solve a classical counting problem for non-degenerate forms of symplectic and hermitian type defined on a vector space: given a subspace , we find the number o…
-Analogs of divisible design graphs and Deza graphs
Dean Crnkovic, Maarten De Boeck, Francesco Pavese +1
Divisible design graphs were introduced in 2011 by Haemers, Kharaghani and Meulenberg. In this paper, we introduce the notion of -analogs of divisible design graphs and show tha…
Association schemes and orthogonality graphs on anisotropic points of polar spaces
Sam Adriaensen, Maarten De Boeck
In this paper, we study association schemes on the anisotropic points of classical polar spaces. Our main result concerns non-degenerate elliptic and hyperbolic quadrics in PG$(n,q…
Regular ovoids and Cameron-Liebler sets of generators in polar spaces
Maarten De Boeck, Jozefien D'haeseleer, Morgan Rodgers
Cameron-Liebler sets of generators in polar spaces were introduced a few years ago as natural generalisations of the Cameron-Liebler sets of subspaces in projective spaces. In this…