Yantao Tang

activity

20222024

collaborators

3 papers

math.CO2024

Extremal density for subdivisions with length or sparsity constraints

Jaehoon Kim, Hong Liu, Yantao Tang +3

Given a graph $H$ , a balanced subdivision of $H$ is obtained by replacing all edges of $H$ with internally disjoint paths of the same length. In this paper, we prove that for any g…

math.CO2023

On powers of Hamilton cycles in Ramsey-Turán Theory

Ming Chen, Jie Han, Yantao Tang +1

We prove that for $r \in N$ with $r \geq 2$ and $μ > 0$ , there exist $α > 0$ and $n_{0}$ such that for every $n \geq n_{0}$ , every $n$ -vertex graph $G$ with $δ(G)\geq \left(1-\fr…

math.CO2022

Balanced subdivisions of cliques in graphs

Bingyu Luan, Yantao Tang, Guanghui Wang +1

Given a graph $H$ , a balanced subdivision of $H$ is a graph obtained from $H$ by subdividing every edge the same number of times. In 1984, Thomassen conjectured that for each integ…