Haotian Yang

collaborators

3 papers

math.CO2026

Tree suspensions and transfer functions for single degree TurÃ¡n spectra

Jiangdong Ai, Laihao Ding, Hong Liu +1

For integers $1 \leq ℓ < k$ , let $I^_{ℓ}^{k}$ denote the single-forbidden $ℓ$ -degree TurÃ¡n spectrum of $k$ -uniform hypergraphs. We introduce transfer functions for this spectrum:…

math.CO2026

Vanishing orders, suspensions and zero degree TurÃ¡n densities

Jiangdong Ai, Laihao Ding, Hong Liu +1

For integers $1 \leq ℓ < k$ , the $ℓ$ -degree TurÃ¡n density $I ¨ _{ℓ} (F)$ measures the minimum $ℓ$ -degree threshold that forces a copy of a fixed $k$ -uniform hypergraph $F$ , gen…

math.CO2025

Separating hypergraph TurÃ¡n densities

Hong Liu, Bjarne SchÃ¼lke, Shuaichao Wang +2

Determining the TurÃ¡n densities of hypergraphs is a notoriously difficult problem at the core of combinatorics. Although TurÃ¡n posed this problem in 1941, $I ¨ (K_{ℓ}^{(k)})$ re…