ON THE INVERSE EIGENVALUE PROBLEMS: THE CASE OF SUPERSTARS

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Abstract

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.
Original languageUnknown
Pages (from-to)442-461
JournalElectronic Journal Of Linear Algebra
Volume18
Issue numberNA
Publication statusPublished - 1 Jan 2009

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