Tame two-point algebras without loops

We determine the representation type of the algebras whose quiver has preci sely two vertices and admits no loops by listing all minimal wild algebras of this form. It turns out that such an algebra A is tame if and only if A/ rad(3)A is tame, and in this case A degenerates to a special biserial algeb ra. Moreover, A is wild if and only if it is controlled wild.