Shumin Sun

collaborators

3 papers

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.MG2025

New upper bound for lattice covering by spheres

Jun Gao, Xizhi Liu, Oleg Pikhurko +1

We show that there exists a lattice covering of $R^{n}$ by Eucledian spheres of equal radius with density $O (n ln^{β} n)$ as $n \to \infty$ , where \begin{align*} β:= \…

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…