Geodesic
On the inverse eigenvalue problems: the case of superstars
The electronic journal of linear algebra, Tome 18 (2009), pp. 442-461.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Let T be a tree and let x 0 be a vertex of T . T is called a superstar with central vertex x 0 if T - x 0 is a union of paths. The General Inverse Eigenvalue Problem for certain trees is partially answered. Using this description, some superstars are presented for which the problem of ordered multiplicity lists and the Inverse Eigenvalue Problem are not equivalent.
Classification : 15A18, 05C38, 05C50
Keywords: eigenvalues, tree, graph, symmetric matrices 
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     title = {On the inverse eigenvalue problems: the case of superstars},
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Fernandes, Rosario. On the inverse eigenvalue problems: the case of superstars. The electronic journal of linear algebra, Tome 18 (2009), pp. 442-461. http://geodesic.mathdoc.fr/item/ELA_2009__18__a22/