40 citations · 59 across the 18 of their papers we have counts for
19 papers
A sporadic strongly regular graph with parameters from a primitive action of the symmetric group on elements
Sam Adriaensen, Robert F. Bailey, Jan De Beule +1
There are up to isomorphism exactly three strongly regular graphs with parameters whose automorphism group acts primitively on the vertices. Two of these graphs be…
A note on the classification of classical distance-regular graphs of negative type and the non-existence of hemisystems
Sam Adriaensen, Jan De Beule, Jozefien D'haeseleer +1
DISCLAIMER: Due to an error in the literature, we cannot be sure that the conclusions drawn in this paper are correct. The goal of this note is to connect some interesting results…
The largest sets of non-opposite chambers in spherical buildings of type
Jan De Beule, Philipp Heering, Sam Mattheus +1
The investigation into large families of non-opposite flags in finite spherical buildings has been a recent addition to a long line of research in extremal combinatorics, extending…
Strongly regular graphs from hyperbolic quadrics and their maximal cliques
Antonio Cossidente, Jan De Beule, Giuseppe Marino +2
Let be a hyperbolic quadric of $\PG(2n+1,q)$. Fix a generator of the quadric. Define $\cG_n$ as the graph with as vertex set the points of $Q^+(2n+1,q)\setminus Π…
An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings II
Jan De Beule, Sam Mattheus, Klaus Metsch
We continue our investigation of Erdős-Ko-Rado (EKR) sets of flags in spherical buildings. In previous work, we used the theory of buildings and Iwahori-Hecke algebras to obtain up…
On two non-existence results for Cameron-Liebler -sets in
Jan De Beule, Jonathan Mannaert, Leo Storme
This paper focuses on non-existence results for Cameron-Liebler -sets. A Cameron-Liebler -set is a collection of -spaces in or admitt…
On -ovoids of with odd
Sam Adriaensen, Jan De Beule, Giovanni Giuseppe Grimaldi +1
In this paper, we provide a construction of -ovoids of the hyperbolic quadric , an odd prime power, by glueing -ovoids of the elliptic quadric $Q^-(5,…
Some non-existence results on -ovoids in classical polar spaces
Jan De Beule, Jonathan Mannaert, Valentino Smaldore
In this paper we develop non-existence results for -ovoids in the classical polar spaces and for . In [4] a lower bound on for the…
Degree 2 Boolean Functions on Grassmann Graphs
Jan De Beule, Jozefien D'haeseleer, Ferdinand Ihringer +1
We investigate the existence of Boolean degree functions on the Grassmann graph of -spaces in the vector space . For several non-existence and classifi…
A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension
Jan De Beule, Jonathan Mannaert
In this article we study Cameron-Liebler line classes in PG and AG, objects also known as boolean degree one functions. A Cameron-Liebler line class is…
Cameron-Liebler k-sets in subspaces and non-existence conditions
Jan De Beule, Jonathan Mannaert, Leo Storme
In this article we generalize the concepts that were used in the PhD thesis of Drudge to classify Cameron-Liebler line classes in PG, to Cameron-Liebler sets of …
A combinatorial characterisation of embedded polar spaces
Jan De Beule, Maarten De Boeck
Some classical polar spaces admit polar spaces of the same rank as embedded polar spaces (often arisen as the intersection of the polar space with a non-tangent hyperplane). In thi…
Weighted Intriguing Sets in Finite Polar Spaces
John Bamberg, Jan De Beule, Ferdinand Ihringer
We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space . We al…
Direction problems in affine spaces
Jan De Beule
This paper is a survey paper on old and recent results on direction problems in finite dimensional affine spaces over a finite field.
A new family of tight sets in
Jan De Beule, Jeroen Demeyer, Klaus Metsch +1
In this paper, we describe a new infinite family of -tight sets in the hyperbolic quadrics , for $q \equiv 5 \mbox{ or } 9 \bmod{12}$. Unde…
Sets of generators blocking all generators in finite classical polar spaces
Jan De Beule, Anja Hallez, Klaus Metsch +1
We introduce generator blocking sets of finite classical polar spaces. These sets are a generalisation of maximal partial spreads. We prove a characterization of these minimal sets…
The known maximal partial ovoids of size of Q(4,q)
Kris Coolsaet, Jan De Beule, Alessandro Siciliano
We present a description of maximal partial ovoids of size of the parabolic quadric $\q(4,q)$ as sharply transitive subsets of $\SL(2,q)$ and show their connection with spr…
On sets of vectors of a finite vector space in which every subset of basis size is a basis II
Simeon Ball, Jan De Beule
This article contains a proof of the MDS conjecture for . That is, that if is a set of vectors of in which every subset of of size is a b…
On large maximal partial ovoids of the parabolic quadric $\q(4,q)$
Jan De Beule
We use the representation for $\q(4,q)$ to show that maximal partial ovoids of $\q(4,q)$ of size , , odd prime, , do not exist. Although this was…