Zilong Yan

activity

20182026

most citedLagrangian densities of hypergraph cycles

4 citations · 4 across the 10 of their papers we have counts for

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10 papers · 1 filter

math.CO2026

Finite palette endpoints and degree-square Turán problems

Jiangdong Ai, Bin Chen, Ming Chen +2

We study finite palette extremal problems motivated by uniform Turán densities of $3$ -uniform hypergraphs. Given a self-converse tournament $T$ with at least two vertices, we deter…

math.CO2024

Intersecting families with full difference sets

Yan zilong, Peng Yuejian

For a family $F$ of subsets of a finite set, define $D (F) = {F ∖ F^{'} : F, F^{'} \in F}$ . A family $F$ is called intersecting if $F…

math.CO2024

Chromatic profiles of odd cycles

Zilong Yan, Yuejian Peng, Xiaoli Yuan

Erdős and Simonovits asked the following question: For an integer $c \geq 2$ and a family of non-bipartite graphs $F$ , what is the infimum of $α$ such that any $\mathcal{F…

math.CO2024

A strong structural stability of $C_{2 k + 1}$ -free graphs

Zilong Yan, Yuejian Peng

Füredi and Gunderson showed that $e x (n, C_{2 k + 1})$ is achieved only on $K_{⌊ \frac{n}{2} ⌋, ⌈ \frac{n}{2} ⌉}$ if $n \geq 4 k - 2$ . It is natural to study how far a $ C…

math.CO2022

Lagrangian densities of some $3$ -uniform hypergraphs

Zilong Yan, Yuejian Peng

The Lagrangian density of an $r$ -uniform hypergraph $H$ is $r!$ multiplying the supremum of the Lagrangians of all $H$ -free $r$ -uniform hypergraphs. For an $r$ -uniform graph $H$ wi…

math.CO2021

Tree Embeddings and Tree-Star Ramsey Numbers

Zilong Yan, Yuejian Peng

We say that a graph $F$ can be embedded into a graph $G$ if $G$ contains an isomorphic copy of $F$ as a subgraph. Guo and Volkmann \cite{GV} conjectured that if $G$ is a connected…

math.CO2021

Non-jumping Turán densities of hypergraphs

Zilong Yan, Yuejian Peng

A real number $α \in [0, 1)$ is a jump for an integer $r \geq 2$ if there exists $c > 0$ such that no number in $(α, α + c)$ can be the Turán density of a family of $r$ -uniform graphs. A…

math.CO2021

An irrational Lagrangian density of a single hypergraph

Zilong Yan, Yuejian Peng

The {\em Turán number} of an $r$ -uniform graph $F$ , denoted by $e x (n, F)$ , is the maximum number of edges in an $F$ -free $r$ -uniform graph on $n$ vertices. The {\em Turán density} o…

math.CO2021

The bipartite Ramsey number $b r (C_{2 n}, C_{2 m})$

Zilong Yan, Yuejian Peng

Given bipartite graphs $H_{1}$ , \dots , $H_{k}$ , the bipartite Ramsey number $b r (H_{1}, \dots, H_{k})$ is the minimum integer $N$ such that any $k$ -edge-coloring of complete bipartite graph…

math.CO2018★ 4 cited

Lagrangian densities of hypergraph cycles

Yuejian Peng, Zilong Yan

The Lagrangian density of an $r$ -uniform hypergraph $F$ is $r!$ multiplying the supremum of the Lagrangians of all $F$ -free $r$ -uniform hypergraphs. For an $r$ -graph $H$ with $t$ v…

Finite palette endpoints and degree-square Turán problems

Intersecting families with full difference sets

Chromatic profiles of odd cycles

A strong structural stability of C2k+1​-free graphs

Lagrangian densities of some 3-uniform hypergraphs

Tree Embeddings and Tree-Star Ramsey Numbers

Non-jumping Turán densities of hypergraphs

An irrational Lagrangian density of a single hypergraph

The bipartite Ramsey number br(C2n​,C2m​)

Lagrangian densities of hypergraph cycles

A strong structural stability of $C_{2 k + 1}$ -free graphs

Lagrangian densities of some $3$ -uniform hypergraphs

The bipartite Ramsey number $b r (C_{2 n}, C_{2 m})$