  Let $G$ be a Brauer graph and $A$ the associated Brauer graph algebra. Denote
by $gr(A)$ the graded algebra associated with the radical filtration of $A$.
The question when $gr(A)$ is of finite representation type was answered in [9].
In the present paper, we characterize when $gr(A)$ is domestic in terms of the
associated Brauer graph $G$.
