Symmetric integer matrices having integer eigenvalues (Q1751454)
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scientific article; zbMATH DE number 6873310
| Language | Label | Description | Also known as |
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| English | Symmetric integer matrices having integer eigenvalues |
scientific article; zbMATH DE number 6873310 |
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Symmetric integer matrices having integer eigenvalues (English)
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25 May 2018
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Summary: We provide characterization of symmetric integer matrices for rank at most 2 that have integer spectrum and give some constructions for such matrices of rank 3. We also make some connection between \textit{P. Hanlon}'s conjecture and integer eigenvalue problem [J. Comb. Theory, Ser. A 59, No. 2, 218--239 (1992; Zbl 0759.05020)].
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Hanlon's conjecture
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integer spectrum
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