Evaluation of the characteristic polynomial of a graph (Q1310247)
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scientific article; zbMATH DE number 475052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of the characteristic polynomial of a graph |
scientific article; zbMATH DE number 475052 |
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Evaluation of the characteristic polynomial of a graph (English)
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16 January 1994
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The author adapts the classical ``Le Verrier-Faddeev-Frame'' method for the evaluation of the characteristic polynomial of a graph by first diagonalizing the adjacency matrix. The resulting technique can be shown to be \(O(n^ 3)\) instead of \(O(n^ 4)\). The author also shows how to efficiently find (in \((O(n^ 2)))\) the characteristic polynomial from the known eigenvalues of the adjacency matrix.
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evaluation
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characteristic polynomial
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adjacency matrix
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eigenvalues
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