Dingyuan Liu

activity

20242026

most citedVisibility in hypercubes

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

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4 papers · 1 filter

math.CO2025

Ramsey problems for graphs in Euclidean spaces and Cartesian powers

Maria Axenovich, Dingyuan Liu, Arsenii Sagdeev

Given a graph $H$ , let $χ_{H} (R^{n})$ be the smallest positive integer $r$ such that there exists an $r$ -coloring of $R^{n}$ with no monochromatic unit-copy of $H$ , tha…

math.CO2025

Turán problems for simplicial complexes

Maria Axenovich, Dániel Gerbner, Dingyuan Liu +1

An abstract simplicial complex $F$ is a non-uniform hypergraph without isolated vertices, whose edge set is closed under taking subsets. The extremal number $\mathrm{ex}(n…

math.CO2025

The number of regular simplices in higher dimensions

Felix Christian Clemen, Adrian Dumitrescu, Dingyuan Liu

We study the extremal function $S_{d}^{k} (n)$ , defined as the maximum number of regular $(k - 1)$ -simplices spanned by $n$ points in $R^{d}$ . For any fixed $d \geq 2 k \geq 6$ , we dete…

math.CO2025

On multiplicities of interpoint distances

Felix Christian Clemen, Adrian Dumitrescu, Dingyuan Liu

Given a set $X \subseteq R^{2}$ of $n$ points and a distance $d > 0$ , the multiplicity of $d$ is the number of times the distance $d$ appears between points in $X$ . Let $a_1(X)…