The structure of matrices with a maximum multiplicity eigenvalue

There is remarkable and distinctive structure among Hermitian matrices, whose graph is a given tree T and that have an eigenvalue of multiplicity that is a maximum for T. Among such structure, we give several new results: (1) no vertex of T may be "neutral"; (2) neutral vertices may occur...

Full description

Bibliographic Details
Main Author: Johnson, Charles R. (author)
Other Authors: Duarte, António Leal (author), Saiago, Carlos M. (author)
Format: article
Language:eng
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10316/4579
Country:Portugal
Oai:oai:estudogeral.sib.uc.pt:10316/4579