On the largest eigenvalue of a tree with perfect matchings (Q1402067)
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scientific article; zbMATH DE number 1967262
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the largest eigenvalue of a tree with perfect matchings |
scientific article; zbMATH DE number 1967262 |
Statements
On the largest eigenvalue of a tree with perfect matchings (English)
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19 August 2003
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Let the set of trees on \(n\) vertices with a perfect matching be ordered by the largest eigenvalue (of the adjacency matrix) of trees in non-increasing order. The first seven trees in this order are determined.
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Tree
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Perfect matching
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Characteristic polynomial
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Eigenvalue
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Upper bound
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