  The celebrated Drozd's theorem asserts that a finite-dimensional basic
algebra $\Lambda$ over an algebraically closed field $k$ is either tame or
wild, whereas the Crawley-Boevey's theorem states that given a tame algebra
$\Lambda$ and a dimension $d$, all but finitely many isomorphism classes of
indecomposable $\Lambda$-modules of dimension $d$ are isomorphic to their
Auslander-Reiten translations and hence belong to homogeneous tubes. In this
paper, we prove the inverse of Crawley-Boevey's theorem, which gives an
internal description of tameness in terms of Auslander-Reiten quivers.
