On Almost Regular Tournament Matrices
Document Type
Article
Publication Date
2-15-2000
Department
Mathematics
School
Mathematics and Natural Sciences
Abstract
Spectral and determinantal properties of a special dass M-n of 2n x 2n almost regular tournament matrices are studied. In particular, the maximum Perron value of the matrices in this class is determined and shown to be achieved by the Brualdi-Li matrix, which has been conjectured to have the largest Perron value among all tournament matrices of even order. We also establish some determinantal inequalities for matrices in M-n and describe the structure of their associated walk spaces. (C) 2000 Elsevier Science Inc. All rights reserved.
Publication Title
Linear Algebra and Its Applications
Volume
306
Issue
1-3
First Page
103
Last Page
121
Recommended Citation
Eschenbach, C.,
Hall, F.,
Hemasinha, R.,
Kirkland, S. J.,
Li, Z.,
Shader, B. L.,
Stuart, J. L.,
Weaver, J. R.
(2000). On Almost Regular Tournament Matrices. Linear Algebra and Its Applications, 306(1-3), 103-121.
Available at: https://aquila.usm.edu/fac_pubs/4306