On the maximum multiplicity of an eigenvalue in a matrix whose graph contains exactly one cycle |
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| Authors: | Rosá rio Fernandes |
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| Affiliation: | Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516 Caparica, Portugal |
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| Abstract: | We consider the general problem of determining the maximum possible multiplicity of an eigenvalue in a Hermitian matrix whose graph contains exactly one cycle. For some cases we express that maximum multiplicity in terms of certain parameters associated with the graph. |
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| Keywords: | 15A18 05C38 05C50 |
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