  We consider a scattering problem generated by the Sturm-Liouville equation on
a tree which consists of a equilateral compact subtree with a lead (a
half-infinite edge) attached to this compact subtree. We assume that the
potential on the lead is zero identically and the potentials on the finite
edges are L_2-functions. We show how to find the shape of the tree using the
S-function of the scattering problem.
