Do Isoscattering Graphs Must Have the Same Eigenvalues?
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Abstract
Our study focuses on isoscattering quantum graphs and their eigenvalues. Contrary to the prevailing assumption that isoscattering graphs are isospectral, we present a new example of non-isospectral isoscattering graphs and study their properties. Additionally, we expanded our research to include dissipative graphs that can be realized and studied experimentally using microwave networks.
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