We consider an inverse problem for Schrödinger operators on a connected equilateral graph G with standard matching conditions. The graph G consists of at least two odd cycles glued together at a common vertex. We prove an Ambarzumian-type result, i.e., if a specific part of the spectrum is the same as in the case of zero potential, then the potential must be equal to zero.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 12, pp. 1679–1685, December, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i12.6734.
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Kiss, M. An Ambarzumian-Type Theorem on Graphs with Odd Cycles. Ukr Math J 74, 1916–1923 (2023). https://doi.org/10.1007/s11253-023-02178-7
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DOI: https://doi.org/10.1007/s11253-023-02178-7