The non-negative spectrum of a digraph

Given the adjacency matrix A of a digraph, the eigenvalues of the matrix AAT 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...

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Main Authors:	Alomari Omar, Abudayah Mohammad, Sander Torsten
Format:	Article
Language:	English
Published:	De Gruyter 2020-02-01
Series:	Open Mathematics
Subjects:	non-negative spectrum digraph 05c50 15a18
Online Access:	http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0005/math-2020-0005.xml?format=INT

id	doaj-3db1143070ec430f9b0b7c5efad41eb3
record_format	Article
spelling	doaj-3db1143070ec430f9b0b7c5efad41eb32021-02-28T21:53:20ZengDe GruyterOpen Mathematics2391-54552020-02-01181223510.1515/math-2020-0005math-2020-0005The non-negative spectrum of a digraphAlomari Omar0Abudayah Mohammad1Sander Torsten2German Jordanian University, Amman, JordanGerman Jordanian University, Amman, JordanOstfalia Hochschule für angewandte Wissenschaften, Fakultät für Informatik, Wolfenbüttel, GermanyGiven the adjacency matrix A of a digraph, the eigenvalues of the matrix AAT 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.http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0005/math-2020-0005.xml?format=INTnon-negative spectrumdigraph05c5015a18
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Alomari Omar Abudayah Mohammad Sander Torsten
spellingShingle	Alomari Omar Abudayah Mohammad Sander Torsten The non-negative spectrum of a digraph Open Mathematics non-negative spectrum digraph 05c50 15a18
author_facet	Alomari Omar Abudayah Mohammad Sander Torsten
author_sort	Alomari Omar
title	The non-negative spectrum of a digraph
title_short	The non-negative spectrum of a digraph
title_full	The non-negative spectrum of a digraph
title_fullStr	The non-negative spectrum of a digraph
title_full_unstemmed	The non-negative spectrum of a digraph
title_sort	non-negative spectrum of a digraph
publisher	De Gruyter
series	Open Mathematics
issn	2391-5455
publishDate	2020-02-01
description	Given the adjacency matrix A of a digraph, the eigenvalues of the matrix AAT 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.
topic	non-negative spectrum digraph 05c50 15a18
url	http://www.degruyter.com/view/j/math.2020.18.issue-1/math-2020-0005/math-2020-0005.xml?format=INT
work_keys_str_mv	AT alomariomar thenonnegativespectrumofadigraph AT abudayahmohammad thenonnegativespectrumofadigraph AT sandertorsten thenonnegativespectrumofadigraph AT alomariomar nonnegativespectrumofadigraph AT abudayahmohammad nonnegativespectrumofadigraph AT sandertorsten nonnegativespectrumofadigraph
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The non-negative spectrum of a digraph

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