activity
20112026
most citedExploring Projective Norm Graphs

3 citations · 5 across the 6 of their papers we have counts for

collaborators

8 papers

cs.DL2026

Beyond Journals: Rethinking Research Evaluation in Hungarian Computer Science

János Tapolcai, Márk Jelasity, Lajos Rónyai +3

This study examines the role of top-tier conference publications in Hungarian computer science research. We show that the national scientometric practice, which is currently journa…

math.CO2025

Equality in the linear algebra bound

Gábor Hegedüs, Lajos Rónyai

We study some examples when there is actually an equality in the linear algebra bound. When the vectors considered span in fact the entire space. We would like to point out that in…

math.CO2022

Gröbner Bases for Increasing Sequences

Gábor Hegedüs, Lajos Rónyai

Let be integers, , and be a field with . The set of increasing sequences $$ I(n,q)=\{(f_1,f_2, \dots, f_n) \in [q]^…

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★ 3 cited

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…

math.RA2012★ 2 cited

Improved algorithms for splitting full matrix algebras

Gábor Ivanyos, Ádám D. Lelkes, Lajos Rónyai

Let $\K$ be an algebraic number field of degree and discriminant over $\Q$. Let $\A$ be an associative algebra over $\K$ given by structure constants such that $\A\cong M_n…

math.CO2011

Some extensions of Alon's Nullstellensatz

Géza Kós, Tamás Mészáros, Lajos Rónyai

Alon's combinatorial Nullstellensatz, and in particular the resulting nonvanishing criterion is one of the most powerful algebraic tools in combinatorics, with many important appli…