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 ma...

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Bibliographic Details
Main Author: Johnson, Charles R. (author)
Other Authors: Leal-Duarte, António (author), Saiago, Carlos Manuel (author)
Format: article
Language:eng
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/10362/58385
Country:Portugal
Oai:oai:run.unl.pt:10362/58385