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The non-negative spectrum of a digraph.
- 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]
- Subjects :
- DIRECTED graphs
EIGENVECTORS
BIPARTITE graphs
GRAPH theory
SPECTRAL geometry
Subjects
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