Haotian Yang

activity

20232026

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3 papers · 1 filter

math.CO2026

A One-Third Bound for the Maker--Breaker Degree Game

Kaizhe Chen, Xiaonan Chen, Haotian Yang

Let $H$ be a finite hypergraph with rank $r$ and minimum degree $d$. In the Maker--Breaker degree game, Maker and Breaker alternately claim previously unclaimed hyperedges of \…

math.CO2026

Tree suspensions and transfer functions for single degree Turán spectra

Jiangdong Ai, Laihao Ding, Hong Liu +1

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

math.CO2026

Vanishing orders, suspensions and zero degree Turán densities

Jiangdong Ai, Laihao Ding, Hong Liu +1

For integers $1 \leq ℓ < k$ , the $ℓ$ -degree Turán density $π_{ℓ} (F)$ measures the minimum $ℓ$ -degree threshold that forces a copy of a fixed $k$ -uniform hypergraph $F$ , gener…