Xiutao Zhu

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20212026

most citedThe maximum number of triangles in

F_{k}

-free graphs

3 citations · 8 across the 21 of their papers we have counts for

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math.CO2026

Near-optimal Turán densities of $r$ -graphs on $r + 1$ vertices

Jiabao Yang, Xiutao Zhu

Let $π (H)$ be the Turán density of an r-uniform hypergraph $H$ and let $H_{k}^{r}$ denote the $r$ -uniform hypergraph on $r + 1$ vertices with exactly $k$ edges, where $1 \leq k \leq r + 1$ . Si…

math.CO2026

Turán-Type Extremal Results for Distance- $k$ Graphs

Zhen He, Nika Salia, Casey Tompkins +1

We study Turán-type extremal problems for distance graphs, motivated by work of Csikvári, Bollobás, Tyomkyn, and Uzzell. We determine the maximum number of vertex pairs at distance…

math.CO2026

The Turán number of the triangular pyramid of 4-layers

Hangdi Chen, Yaojun Chen, Xiutao Zhu

The Turán number $e x (n, H)$ of a graph $H$ is the maximum number of edges in any $H$ -free graph on $n$ vertices. The triangular pyramid of $k$ -layers, denoted by $T P_{k}$ , is a genera…

Near-optimal Turán densities of r-graphs on r+1 vertices

Turán-Type Extremal Results for Distance-k Graphs

The Turán number of the triangular pyramid of 4-layers

Near-optimal Turán densities of $r$ -graphs on $r + 1$ vertices

Turán-Type Extremal Results for Distance- $k$ Graphs