Dears

Let $G$ be a graph with $n$ vertices and let $T(G)$ be the set of all bijections from vertices $V(G)$ of $G$ to the set $\{1,\dots,n\}$. Let $E(G)$ be as ususal the set of edges of $G$. Is the following problem well-known? Has it a well-accepted name in the litratures? Do you know of any result about it?

Compute $$\min_{\sigma \in T(G)} \max_{vw \in E(G)} |\sigma(v)-\sigma(w)|$$