On powers of Hamilton cycles in Ramsey-Turán Theory

Ming Chen, Jie Han, Yantao Tang +1

We prove that for $r\in \mathbb{N}$ with $r\ge 2$ and $\mu >0$, there exist $\alpha >0$ and $n_0$ such that for every $n\ge n_0$, every $n$-vertex graph $G$ with $δ(G)\geq \left(1-\fr…