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https://hdl.handle.net/10316/11451
Title: | Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree: the case of generalized stars and double generalized stars | Authors: | Johnson, Charles R. Duarte, António Leal Saiago, Carlos M. |
Issue Date: | 2002 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 02-08 (2002) | Abstract: | We characterize the possible lists of ordered multiplicities among matrices whose graph is a generalized star (a tree in which at most one vertex has degree greater than 2) or a double generalized star. Here, the inverse eigenvalue problem for symmetric matrices whose graph is a generalized star is settled. The answer is consistent with a conjecture that determination of the possible ordered multiplicities is equivalent to the inverse eigenvalue problem for a given tree. Moreover, a key spectral feature of the inverse eigenvalue problem in the case of generalized stars is shown to characterize them among trees. | URI: | https://hdl.handle.net/10316/11451 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Nacionais |
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Inverse eigenvalue problems and lists of multiplicities of eigenvalues for matrices whose graph is a tree.pdf | 191.19 kB | Adobe PDF | View/Open |
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