Transversal tilings in k-partite graphs without large holes

Xinyu He, Xiangxiang Nie, Donglei Yang

We show that for any constant $\hat{I}¼>0$ and $k\ge 3$, there exists $\hat{I}\pm >0$ such that the following holds for sufficiently large $n\in \mathbb{N}$. If $G=(V_1,\dots ,V_k,E)$ is a s…