# square of a graph

## Choosability of Graph Powers ★★

Author(s): Noel

\begin{question}[Noel, 2013] Does there exist a function $f(k)=o(k^2)$ such that for every graph $G$, $\text{ch}\left(G^2\right)\leq f\left(\chi\left(G^2\right)\right)?$ \end{question}