Hamilton cycles and eigenvalues of graphs (Q1899443)
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scientific article; zbMATH DE number 803769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hamilton cycles and eigenvalues of graphs |
scientific article; zbMATH DE number 803769 |
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Hamilton cycles and eigenvalues of graphs (English)
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29 September 1996
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The author derives some inequalities for the eigenvalues of the Laplacian matrix (and of a related matrix) of a Hamiltonian graph. This enables an eigenvalue proof of the non-existence of a Hamiltonian cycle for some graphs (in particular, for the Petersen graph).
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eigenvalues
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Laplacian matrix
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Hamiltonian graph
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Hamiltonian cycle
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Petersen graph
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