Geodesic
Recovering Sturm--Liouville operators on hedgehog-type graphs with general matching conditions
Eurasian mathematical journal, Tome 5 (2014) no. 4, pp. 56-69.

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We study boundary value problems on hedgehog-type graphs for secondorder ordinary differential equations with general matching conditions. We establish properties of spectral characteristics and investigate the inverse spectral problem of recovering the coefficients of a differential equation from the spectral data. For this inverse problem we prove a uniqueness theorem and provide a procedure for constructing its solution. 
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G. Freiling; V. Yurko. Recovering Sturm--Liouville operators on hedgehog-type graphs with general matching conditions. Eurasian mathematical journal, Tome 5 (2014) no. 4, pp. 56-69. http://geodesic.mathdoc.fr/item/EMJ_2014_5_4_a3/

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