3 papers
math.CO2020
An upper bound for the size of -distance sets in real algebraic sets
Gábor Hegedüs, Lajos Rónyai
In a recent paper Petrov and Pohoata developed a new algebraic method which combines the Croot-Lev-Pach Lemma from additive combinatorics and Sylvester's Law of Inertia for real qu…
math.CO2019
Singer difference sets and the projective norm graph
Tamás Mészáros, Lajos Rónyai, Tibor Szabó
We demonstrate a close connection between the classic planar Singer difference sets and certain norm equation systems arising from projective norm graphs. This, on the one hand lea…
math.CO2019
Exploring Projective Norm Graphs
Tomas Bayer, Tamás Mészáros, Lajos Rónyai +1
The projective norm graphs provide tight constructions for the Turán number of complete bipartite graphs with . In this paper we determine thei…