Geodesic
Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 33-38

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An inverse spectral problem is studied for Sturm–Liouville operators on arbitrary compact graphs with standard matching conditions in internal vertices. A uniqueness theorem of recovering operator's coefficients from spectra is proved. 
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     author = {V. A. Yurko},
     title = {Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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V. A. Yurko. Uniqueness of the solution of the inverse problem for differential operators on arbitrary compact graphs. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 10 (2010) no. 3, pp. 33-38. http://geodesic.mathdoc.fr/item/ISU_2010_10_3_a3/