Graph \(Z_{n}\) and some graphs related to \(Z_{n}\) are determined by their spectrum (Q2484386)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Graph \(Z_{n}\) and some graphs related to \(Z_{n}\) are determined by their spectrum |
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Graph \(Z_{n}\) and some graphs related to \(Z_{n}\) are determined by their spectrum (English)
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1 August 2005
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The paper studies the question: Can you hear the shape of certain trees? This means: Does the spectrum of the Laplacian (or the adjacency matrix) determine the graph up to graph isomorphism? It is shown that certain trees are determined by the adjacency or Laplacian spectrum.
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adjacency spectrum
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Laplacian spectrum
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