Title

On almost regular tournament matrices

Document Type

Article

Publication Date

2-15-2000

Department

Mathematics

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