22 citations · 54 across the 25 of their papers we have counts for
5 papers · 1 filter
A new proof of Rédei's theorem on the number of directions
Gabor Somlai
Rédei and Megyesi proved that the number of directions determined by a element subset of is either or at least . The same result was indepen…
Tiling and weak tiling in
Gergely Kiss, Dávid Matolcsi, Máté Matolcsi +1
We discuss the relation of tiling, weak tiling and spectral sets in finite abelian groups. In particular, in elementary -groups , we introduce an averaging pro…
Optimal embedded and enclosing isosceles triangles
Aron Ambrus, Monika Csikos, Gergely Kiss +2
Given a triangle , we study the problem of determining the smallest enclosing and largest embedded isosceles triangles of with respect to area and perimeter. This problem wa…
On the diameter of Cayley graphs of classical groups with generating sets containing a transvection
Martino Garonzi, Zoltán Halasi, Gábor Somlai
A well-known conjecture of Babai states that if is any finite simple group and is a generating set for , then the diameter of the Cayley graph is bounded by $…
CI-property of and for digraphs
István Kovács, Mikhail Muzychuk, Péter P. Pálfy +2
We prove that the direct product of two coprime order elementary abelian groups of rank two, as well as the direct product of a cyclic group of prime order and a cyclic group of sq…