4 citations · 6 across the 6 of their papers we have counts for
10 papers
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…
Spectral sets and tiles in
Thomas Fallon, Gergely Kiss, Gábor Somlai
In this paper we study Fuglede's conjecture on the direct product of two cyclic groups. After collecting the known results we prove that Fuglede's conjecture holds on $\mathbb{Z}_{…
Minimum area isosceles containers
Gergely Kiss, János Pach, Gábor Somlai
We show that every minimum area isosceles triangle containing a given triangle shares a side and an angle with . This proves a conjecture of Nandakumar motivated by a comput…
Fuglede's conjecture holds on
Gergely Kiss, Gábor Somlai
The study of Fuglede's conjecture on the direct product of elementary abelian groups was initiated by Iosevich et al. For the product of two elementary abelian groups the conjectur…