On the multiplicities of eigenvalues of a Hermitian matrix whose graph is a tree |
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| Authors: | C M Da Fonseca |
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| Institution: | (1) Departamento de Matemática, Universidade de Coimbra, 3001-454 Coimbra, Portugal |
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| Abstract: | A different approach is given to recent results due mainly to R. C. Johnson and A. Leal Duarte on the multiplicities of eigenvalues
of a Hermitian matrix whose graph is a tree. The techniques developed are based on some results of matching polynomials and
used a work by O. L. Heilmann and E. H. Lieb on an apparently unrelated topic.
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| Keywords: | Eigenvalues Graph Tree Symmetric matrices Vertex degrees |
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