Title: A partial inverse problem for the Sturm-Liouville operator on the graph with a loop,
Abstract: The Sturm-Liouville operator with singular potentials on the lasso graph is
considered. We suppose that the potential is known a priori on the boundary
edge, and recover the potential on the loop from a part of the spectrum and
some additional data. We prove the uniqueness theorem and provide a
constructive algorithm for the solution of this partial inverse problem.