7 papers · 1 filter
Anzahl theorems for disjoint subspaces generating a non-degenerate subspace II: quadratic forms
Maarten De Boeck, Geertrui Van de Voorde
In this paper, we solve a classical counting problem for non-degenerate quadratic forms defined on a vector space in odd characteristic; given a subspace , we determine the numb…
An infinite class of Neumaier graphs and non-existence results
Aida Abiad, Wouter Castryck, Maarten De Boeck +2
A Neumaier graph is a non-complete edge-regular graph containing a regular clique. A Neumaier graph that is not strongly regular is called a strictly Neumaier graph. In this work w…
A note on large Kakeya sets
Maarten De Boeck, Geertrui Van de Voorde
A Kakeya set in an affine plane of order is the point set covered by a set of pairwise non-parallel lines. Large Kakeya sets were studied by D…
Equivalent definitions for (degree one) Cameron-Liebler classes of generators in finite classical polar spaces
Jozefien D'haeseleer, Maarten De Boeck
In this article, we study degree one Cameron-Liebler sets of generators in all finite classical polar spaces, which is a particular type of a Cameron-Liebler set of generators in t…
Cameron-Liebler sets of k-spaces in PG(n,q)
Aart Blokhuis, Maarten De Boeck, Jozefien D'haeseleer
Cameron-Liebler sets of k-spaces were introduced recently by Y. Filmus and F. Ihringer. We list several equivalent definitions for these Cameron-Liebler sets, by making a generaliz…
A new lower bound for the size of an affine blocking set
Maarten De Boeck, Geertrui Van de Voorde
A blocking set in an affine plane is a set of points such that every line contains at least one point of . The best known lower bound for blocking sets in arbitrary (non-des…