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Article: Primitive tensors and directed hypergraphs

TitlePrimitive tensors and directed hypergraphs
Authors
Cui, Lu BinLi, WenNg, Michael K.
KeywordsIrreducible tensor
Nonnegative tensor
Primitive tensor
Directed hypergraph
Issue Date2015
Citation
Linear Algebra and Its Applications, 2015, v. 471, p. 96-108 How to Cite?
DOI: http://dx.doi.org/10.1016/j.laa.2014.12.033
Abstract© 2015 Elsevier Inc. All rights reserved. Primitivity is an important concept in the spectral theory of nonnegative matrices and tensors. It is well-known that an irreducible matrix is primitive if and only if the greatest common divisor of all the cycles in the associated directed graph is equal to 1. The main aim of this paper is to establish a similar result, i.e., we show that a nonnegative tensor is primitive if and only if the greatest common divisor of all the cycles in the associated directed hypergraph is equal to 1.
Persistent Identifierhttp://hdl.handle.net/10722/277017
ISSN
0024-3795
2023 Impact Factor: 1.0
2023 SCImago Journal Rankings: 0.837
ISI Accession Number ID
WOS:000350918400008

 

DC FieldValueLanguage
dc.contributor.authorCui, Lu Bin-
dc.contributor.authorLi, Wen-
dc.contributor.authorNg, Michael K.-
dc.date.accessioned2019-09-18T08:35:21Z-
dc.date.available2019-09-18T08:35:21Z-
dc.date.issued2015-
dc.identifier.citationLinear Algebra and Its Applications, 2015, v. 471, p. 96-108-
dc.identifier.issn0024-3795-
dc.identifier.urihttp://hdl.handle.net/10722/277017-
dc.description.abstract© 2015 Elsevier Inc. All rights reserved. Primitivity is an important concept in the spectral theory of nonnegative matrices and tensors. It is well-known that an irreducible matrix is primitive if and only if the greatest common divisor of all the cycles in the associated directed graph is equal to 1. The main aim of this paper is to establish a similar result, i.e., we show that a nonnegative tensor is primitive if and only if the greatest common divisor of all the cycles in the associated directed hypergraph is equal to 1.-
dc.languageeng-
dc.relation.ispartofLinear Algebra and Its Applications-
dc.subjectIrreducible tensor-
dc.subjectNonnegative tensor-
dc.subjectPrimitive tensor-
dc.subjectDirected hypergraph-
dc.titlePrimitive tensors and directed hypergraphs-
dc.typeArticle-
dc.description.naturelink_to_OA_fulltext-
dc.identifier.doi10.1016/j.laa.2014.12.033-
dc.identifier.scopuseid_2-s2.0-84921059520-
dc.identifier.volume471-
dc.identifier.spage96-
dc.identifier.epage108-
dc.identifier.isiWOS:000350918400008-
dc.identifier.issnl0024-3795-

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