Constructions of potentially eventually positive sign patterns with reducible positive part Archer, Marie Catral, Minerva Hogben, Leslie Erickson, Craig Haber, Rana Hogben, Leslie Martinez-Rivera, Xavier Ochoa, Antonio
dc.contributor.department Mathematics 2018-02-18T06:10:29.000 2020-06-30T06:01:02Z 2020-06-30T06:01:02Z Sat Jan 01 00:00:00 UTC 2011 2011-01-01
dc.description.abstract <p>Potentially eventually positive (PEP) sign patterns were introduced by Berman et al. (Electron. J. Linear Algebra 19 (2010), 108–120), where it was noted that a matrix is PEP if its positive part is primitive, and an example was given of a 3×3 PEP sign pattern with reducible positive part. We extend these results by constructing n×n PEP sign patterns with reducible positive part, for every n≥3.</p>
dc.description.comments <p>This is an article from <em>Involve</em> 4 (2011): 405, doi:<a href="" target="_blank">10.2140/involve.2011.4.405</a>. Posted with permission.</p>
dc.format.mimetype application/pdf
dc.identifier archive/
dc.identifier.articleid 1100
dc.identifier.contextkey 9894188
dc.identifier.s3bucket isulib-bepress-aws-west
dc.identifier.submissionpath math_pubs/91
dc.language.iso en
dc.source.bitstream archive/|||Sat Jan 15 02:28:25 UTC 2022
dc.source.uri 10.2140/involve.2011.4.405
dc.subject.disciplines Algebra
dc.subject.disciplines Discrete Mathematics and Combinatorics
dc.subject.keywords potentially eventually positive
dc.subject.keywords PEP
dc.subject.keywords sign pattern
dc.subject.keywords matrix
dc.subject.keywords digraph
dc.title Constructions of potentially eventually positive sign patterns with reducible positive part
dc.type article
dc.type.genre article
dspace.entity.type Publication
relation.isAuthorOfPublication 0131698a-00df-41ad-8919-35fb630b282b
relation.isOrgUnitOfPublication 82295b2b-0f85-4929-9659-075c93e82c48
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