An Ambarzumian type theorem on graphs with odd cycles

Márton Kiss

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arXiv · 1710.07699

An Ambarzumian type theorem on graphs with odd cycles

Márton Kiss

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Abstract

We consider an inverse problem for Schr\"odinger 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 has to be zero.

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Márton Kiss. 2017-10-20. An Ambarzumian type theorem on graphs with odd cycles. https://arxiv.org/abs/1710.07699

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