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On semiclassical translation ovoids of H(3, q²) Ghent University
Quadratic sets on the Klein quadric Ghent University
The generating and embedding rank of hyperplanes of Grassmannians Ghent University
A characterization of the Coxeter cap Ghent University
In this paper, we complete the classification of the caps in PG(n, q) having the property that on every tangent line L, there exists a unique point distinct from the tangency point though which there is at least one secant line. The examples include the Coxeter cap in PG(5, 3) related to the Mathieu group M-12, a set of three noncollinear points in PG(2, q) and some examples related to hyperovals of projective planes.
A combinatorial characterization of extremal generalized hexagons Ghent University
A finite generalized 2d-gon of order (s, t) with d ??? {2, 3, 4} and s =??? 1 is called extremal if t attains its maximal possible value sed, where e2 = e4 = 2 and e3 = 3. The problem of finding combinatorial conditions that are both necessary and sufficient for a finite generalized 2d-gon of order (s, t) to be extremal has so far only been solved for the generalized quadrangles. In this paper, we obtain a solution for the generalized hexagons. ...
Neumaier graphs with few eigenvalues Ghent University Vrije Universiteit Brussel
On ovoids of the generalized quadrangle H(3, q(2)) Ghent University
Characterizations of the G(2)(4) and L-3(4) near octagons Ghent University
A triple (S, S, Q) consisting of a near polygon S, a line spread S of S and a set Q of quads of S is called a polygonal triple if certain nice properties are satisfied, among which there is the requirement that the point-line geometry S' formed by the lines of S and the quads of Q is itself also a near polygon. This paper addresses the problem of classifying all near polygons S that admit a polygonal triple (S, S, Q) for which a given ...