The spectrum of the Laplacian matrix of a balanced binary tree (Q1611867)
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scientific article; zbMATH DE number 1790250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The spectrum of the Laplacian matrix of a balanced binary tree |
scientific article; zbMATH DE number 1790250 |
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The spectrum of the Laplacian matrix of a balanced binary tree (English)
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28 August 2002
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Let \(L({\mathcal B}_k)\) be the Laplacian matrix of an unweighted balanced binary tree \({\mathcal B}_k\) of \(k\) levels. The author completely characterizes the eigenvalues of \(L({\mathcal B}_k)\) by labelling vertices of \({\mathcal B}_k\) in such a way that \(L({\mathcal B}_k)\) becomes a symmetric persymmetric matrix.
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Laplacian matrix
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Laplacian eigenvalues
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balanced binary tree
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