Inverse spectral problem for quantum graphs
Pavel KurasovDepartment of Mathematics, Lund Institute of Technology, Box 118, 210 00 Lund, SwedenMarlena Nowaczyk
2005en
ABI
Abstract
The inverse spectral problem for the Laplace operator on a finite metric graph is investigated. It is shown that this problem has a unique solution for graphs with rationally independent edges and without vertices having valence 2. To prove the result, a trace formula connecting the spectrum of the Laplace operator with the set of periodic orbits for the metric graph is established.
Identifiers
Citations and references
Cited by 40 references