Back to Search Start Over

The non-negative spectrum of a digraph.

Authors :
Alomari, Omar
Abudayah, Mohammad
Sander, Torsten
Source :
Open Mathematics; Jan2020, Vol. 18 Issue 1, p22-35, 14p
Publication Year :
2020

Abstract

Given the adjacency matrix A of a digraph, the eigenvalues of the matrix AA<superscript>T</superscript> constitute the so-called non-negative spectrum of this digraph. We investigate the relation between the structure of digraphs and their non-negative spectra and associated eigenvectors. In particular, it turns out that the non-negative spectrum of a digraph can be derived from the traditional (adjacency) spectrum of certain undirected bipartite graphs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
23915455
Volume :
18
Issue :
1
Database :
Complementary Index
Journal :
Open Mathematics
Publication Type :
Academic Journal
Accession number :
141964399
Full Text :
https://doi.org/10.1515/math-2020-0005