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math.CO2024
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…
math.CO2024
-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…
math.CO2024★ 1 cited
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…