For a generating set $S$ of a group $G$ denote by $\mathrm{Cay}(G,S)$ the corresponding Cayley graph.

For a finite graph $A$ denote by $\beta(A)$ its bandwith.

Question: Has the "group bandwith"

$$\beta(G):=\min_{S\subset G}\beta(\mathrm{Cay}(G,S))$$

of finite groups been studied?

For a generating set $S$ of a group $G$ denote by $\mathrm{Cay}(G,S)$ the corresponding Cayley graph.

For a finite graph $A$ denote by $\beta(A)$ its bandwidth.

Question: Has the "group bandwidth"

$$\beta(G):=\min_{S\subset G}\beta(\mathrm{Cay}(G,S))$$

of finite groups been studied?