13 citations · 26 across the 4 of their papers we have counts for
5 papers
The number of directions determined by less than points
Szabolcs L. Fancsali, Péter Sziklai, Marcella Takáts
In this article we prove a theorem about the number of directions determined by less then affine points, similar to the result of Blokhuis et al. (in J. Comb. Theory Ser. A 86(…
An extension of the direction problem
Péter Sziklai, Marcella Takáts
Let be a point set in the -dimensional affine space over the finite field of elements and . In this paper we extend the definition of di…
Search Problems in Vector Spaces
Tamás Héger, Balázs Patkós, Marcella Takáts
We consider the following -analog of the basic combinatorial search problem: let be a prime power and $\GF(q)$ the finite field of elements. Let denote an -dimens…
On the structure of the directions not determined by a large affine point set
Jan De Beule, Péter Sziklai, Marcella Takáts
Given a point set in an -dimensional affine space of size , we obtain information on the structure of the set of directions that are not determined by $…
Resolving sets and semi-resolving sets in finite projective planes
Tamás Héger, Marcella Takáts
We show that the metric dimension of a finite projective plane of order is , and describe all resolving sets of that size. Let denote the size of the smalles…