Please use this identifier to cite or link to this item: http://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: http://hdl.handle.net/10316/11451
Rights: openAccess
Appears in Collections:FCTUC Matemática - Artigos em Revistas Nacionais

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