Sharp lower bounds on the Laplacian eigenvalues of trees (Q1827487)
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scientific article; zbMATH DE number 2083498
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp lower bounds on the Laplacian eigenvalues of trees |
scientific article; zbMATH DE number 2083498 |
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Sharp lower bounds on the Laplacian eigenvalues of trees (English)
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6 August 2004
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The author proves sharp lower bounds on the largest and the second largest eigenvalue of the Laplacian matrix of a tree in terms of the vertex degrees and the average degree of neighbors of a vertex and characterizes the cases of equality.
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Laplacian matrix
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largest eigenvalue
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second largest eigenvalue
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tree
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