Dingyuan Liu

activity

20242026

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1 citations · 1 across the 14 of their papers we have counts for

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4 papers · 1 filter

math.CO2026

On the number of regular simplices in odd dimensions

Felix Christian Clemen, Dingyuan Liu

Let $S_{d}^{k} (n)$ denote the maximum number of regular $(k - 1)$ -simplices spanned by $n$ points in $R^{d}$ . For all fixed $r \geq k \geq 3$ , the exact value of $S_{2 r}^{k} (n)$ was re…

math.CO2026

Extremal problems for suspensions of even cycles

Dingyuan Liu

Given an integer $k \geq 2$ and a graph $F$ , the $k$ -uniform suspension $S^{k} F$ is obtained by adjoining a fixed set of $k - 2$ new vertices to every edge of $F$ . In this pape…

math.CO2026

On the Ramsey classes of random hypergraphs

Dingyuan Liu

Let $r, s, t \geq 2$ be integers. For $r$ -graphs $G$ and $F_{1}, \dots, F_{s}$ , we write $G \to (F_{1}, \dots, F_{s})$ if every $s$ -edge-coloring of $G$ yields a monochromatic copy of $F_{i}$ in the $…

math.CO2026

Remarks on a theorem of Erdős and Szemerédi

Dingyuan Liu

Given a graph $G$ and a real $ε > 0$ , an edge-coloring of $G$ is called $ε$ -balanced if each color appears on at least an $ε$ -fraction of the edges in $…