Geodesic
On an inverse problem for differential operators on hedgehog-type graphs
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 65-72

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An inverse spectral problem is studied for Sturm–Liouville differential operators on hedgehog-type graphs with generalized matching conditions in the interior vertices and with Dirichlet boundary conditions in the boundary vertices. A uniqueness theorem of recovering potentials from given spectral characteristics is provided, and a constructive solution for the inverse problem is obtained. 
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     author = {V. A. Yurko},
     title = {On an inverse problem for differential operators on hedgehog-type graphs},
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V. A. Yurko. On an inverse problem for differential operators on hedgehog-type graphs. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 1, pp. 65-72. http://geodesic.mathdoc.fr/item/ISU_2014_14_1_a6/