J'ozsef Balogh

collaborators

3 papers

math.CO2026

Density of rainbow triangles and properly colored $K_{4}$ 's

JÃ³zsef Balogh, Peter Bradshaw, Ramon I. Garcia +1

We establish a sharp upper bound on the number of properly $3$ -edge-colored $K_{4}$ 's in graphs with $R$ red, $G$ green and $B$ blue edges. We give a computer-free flag-algebra proof…

math.CO2026

Infinitely many groups exhibiting intermediate growth in maximal sum-free sets

JÃ³zsef Balogh, Ramon I. Garcia, Hong Liu +1

Given an Abelian groups $G$ , denote $I^¼ (G)$ the size of its largest sum-free subset and $f_{m a x} (G)$ the number of maximal sum-free sets in $G$ . Confirming a prediction by Liu and…

math.CO2026

Semi-Inducibility of some small graphs

JÃ³zsef Balogh, Bernard LidickÃ½, Dhruv Mubayi +2

Let $H$ be a fixed graph whose edges are colored red and blue and let $I^^{2} \in [0, 1]$ . Let $I (H, I^^{2})$ be the (asymptotically normalized) maximum number of copies of $H$ in a large re…

Density of rainbow triangles and properly colored K4​'s

Infinitely many groups exhibiting intermediate growth in maximal sum-free sets

Semi-Inducibility of some small graphs

Density of rainbow triangles and properly colored $K_{4}$ 's