Zilong Yan

activity

20182026

most citedLagrangian densities of hypergraph cycles

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

collaborators

Showing 2021Show all

4 papers · 1 filter

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…

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​)

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