Sharp lower bounds on the eigenvalues of trees (Q1123213)
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scientific article; zbMATH DE number 4108820
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp lower bounds on the eigenvalues of trees |
scientific article; zbMATH DE number 4108820 |
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Sharp lower bounds on the eigenvalues of trees (English)
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1989
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It is proved that the smallest positive eigenvalue in a forest with n vertices is bounded from below by the same eigenvalue in a path with \(2\lfloor n/2\rfloor\) vertices. With some exceptions (which are described), the second largest eigenvalue of a tree is not smaller than 1.
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eigenvalue
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forest
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