This article is available for purchase or by subscription. See below.
Abstract
|
One of the most important historical contributions to the inverse eigenvalue problem
associated with trees is the celebrated Parter–Wiener theorem. We offer an alternate
elementary proof of this seminal result, utilizing the basic matrix tool known as the
Schur-complement of a matrix, in connection with analyzing the nullspace structure
of matrices whose graph is a tree.
|
PDF Access Denied
We have not been able to recognize your IP address
18.97.9.172
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our
journal-recommendation form.
Or, visit our
subscription page
for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for
USD 30.00:
Keywords
Schur complements, nullspace, Parter vertices, eigenvalues,
multiplicity
|
Mathematical Subject Classification
Primary: 15A18
Secondary: 05C50
|
Milestones
Received: 12 November 2021
Accepted: 26 January 2022
Published: 3 March 2023
Communicated by Chi-Kwong Li
|
|