An Ambarzumian type theorem on graphs with odd cycles
Spectral Theory
2017-10-30 v1
Abstract
We consider an inverse problem for Schr\"odinger operators on a connected equilateral graph with standard matching conditions. The graph 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.
Cite
@article{arxiv.1710.07699,
title = {An Ambarzumian type theorem on graphs with odd cycles},
author = {Márton Kiss},
journal= {arXiv preprint arXiv:1710.07699},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1610.00971