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2005 J. Phys. A: Math. Gen. 38 4901-4915 doi: 10.1088/0305-4470/38/22/014
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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.
PACS numbers: 02.30.Zz, 02.30.Sa, 05.45.Mt
A corrigendum for this article has been published in 2006 J. Phys. A: Math. Gen. 39 993
Print publication: Issue 22 (3 June 2005) |
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