A note on Ambarzumian's theorem for quantum graphs (Q6564144)

This work, based on the main result presented in [\textit{P. Bifulco} and \textit{J. Kerner}, Proc. Am. Math. Soc. 152, No. 1, 295--306 (2024; Zbl 1526.34063)], the authors derive Ambarzumian-type theorems for Schrödinger operators defined on quantum graphs. This result generalizes corresponding [\textit{R. Carlson} and \textit{V. Pivovarchik}, Electron. J. Differ. Equ. 2007, Paper No. 142, 9 p. (2007; Zbl 1138.34303)]. The result is interesting and valuable for understanding inverse spectral problems.