Hongbin Zhao

collaborators

3 papers

math.CO2025

Odd hypergraph Mantel theorems

Jianfeng Hou, Xizhi Liu, Yixiao Zhang +2

A classical result of Sidorenko (1989) shows that the Turán density of every $r$ -uniform hypergraph with three edges is bounded from above by $1/2$ . For even $r$ , this bound is tig…

math.CO2025

Exact Turán densities in triple systems

Nannan Chen, Yuzhen Qi, Caihong Yang +1

In this paper, we prove several new Turán density results for $3$ -graphs. We show: $π (C_{4}^{3}, complement of F_{5}) = 23 - 3$ , $π (F_{3, 2}, C_{5}^{3 -}) = \frac{2}{9}$ ,…

math.CO2025

Turán density of tight cycles minus one edge in the $ℓ_{2}$ -norm

Levente Bodnár, Jinghua Deng, Jianfeng Hou +2

The $3$ -uniform tight $ℓ$ -cycle minus one edge $C_{ℓ}^{3 -}$ is the $3$ -graph on $ℓ$ vertices consisting of $ℓ - 1$ consecutive triples in the cyclic order. We show that f…

Odd hypergraph Mantel theorems

Exact Turán densities in triple systems

Turán density of tight cycles minus one edge in the ℓ2​-norm

Turán density of tight cycles minus one edge in the $ℓ_{2}$ -norm