Shumin Sun

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math.CO2026

Rational codegree Turán density of hypergraphs

Jun Gao, Oleg Pikhurko, Mingyuan Rong +1

Let $H$ be a $k$ -graph (i.e. a $k$ -uniform hypergraph). Its minimum codegree $δ_{k - 1} (H)$ is the largest integer $t$ such that every $(k - 1)$ -subset of $V (H)$ is contained in at lea…

math.CO2025

On the quadratic 8-edge case of the Brown-Erdős-Sós problem

Oleg Pikhurko, Shumin Sun

Let $f^{(r)} (n; s, k)$ be the maximum number of edges in an $n$ -vertex $r$ -uniform hypergraph containing no $k$ edges on at most $s$ vertices. Brown, Erdős and Sós conjectured in 197…