8 citations · 10 across the 7 of their papers we have counts for
9 papers
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…
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 …
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…
The near octagon
Anurag Bishnoi, Bart De Bruyn
In recent work we constructed two new near octagons, one related to the finite simple group and another one as a sub-near-octagon of the former. In the present pa…
On generalized hexagons of order and containing a subhexagon
Anurag Bishnoi, Bart De Bruyn
We prove that there are no semi-finite generalized hexagons with points on each line containing the known generalized hexagons of order as full subgeometries when i…
Characterizations of the Suzuki tower near polygons
Anurag Bishnoi, Bart De Bruyn
In recent work, we constructed a new near octagon from certain involutions of the finite simple group and showed a correspondence between the Suzuki tower of…
On semi-finite hexagons of order containing a subhexagon
Anurag Bishnoi, Bart De Bruyn
The research in this paper was motivated by one of the most important open problems in the theory of generalized polygons, namely the existence problem for semi-finite thick genera…
A new near octagon and the Suzuki tower
Anurag Bishnoi, Bart De Bruyn
We construct and study a new near octagon of order which has its full automorphism group isomorphic to the group and which contains copies of t…
Non-abelian representations of the slim dense near hexagons on 81 and 243 points
B. De Bruyn, B. K. Sahoo, N. S. N. Sastry
We prove that the near hexagon has a non-abelian representation in the extra-special 2-group and that the near hexagon $Q(5,2) \otimes Q(5…