Caiyun Hu

activity

20232025

collaborators

3 papers

math.CO2025

Density Hajnal--Szemerédi theorem for cliques of size four

Jianfeng Hou, Caiyun Hu, Xizhi Liu +1

The celebrated Corrádi--Hajnal Theorem~\cite{CH63} and the Hajnal--Szemerédi Theorem~\cite{HS70} determined the exact minimum degree thresholds for a graph on $n$ vertices to conta…

math.CO2024

Generalized Andrásfai--Erdős--Sós theorems for odd cycles

Zian Chen, Jianfeng Hou, Caiyun Hu +1

In this note, we establish Andrásfai--Erdős--Sós-type stability theorems for two generalized Turán problems involving odd cycles, both of which are extensions of the Erdős Pentagon…

math.CO2023

Many vertex-disjoint even cycles of fixed length in a graph

Jianfeng Hou, Caiyun Hu, Heng Li +3

For every integer $k \geq 3$ , we determine the extremal structure of an $n$ -vertex graph with at most $t$ vertex-disjoint copies of $C_{2 k}$ when $n$ is sufficiently large and $t$ l…