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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/18449
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dc.contributor.authorRowlinson, Peteren_UK
dc.date.accessioned2014-03-13T23:11:02Z-
dc.date.available2014-03-13T23:11:02Z-
dc.date.issued2014-03en_UK
dc.identifier.urihttp://hdl.handle.net/1893/18449-
dc.description.abstractLet G be a connected cubic graph of order n with μ as an eigenvalue of multiplicity k. We show that (i) if μ∉{-1,0} then k≤12n, with equality if and only if μ=1 and G is the Petersen graph; (ii) if μ=-1 then k≤12n+1, with equality if and only if G=K4; (iii) if μ= then k≤12n+1, with equality if and only if G=2K3¯.en_UK
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.relationRowlinson P (2014) Eigenvalue multiplicity in cubic graphs. Linear Algebra and Its Applications, 444, pp. 211-218. https://doi.org/10.1016/j.laa.2013.11.036en_UK
dc.rightsPublished in Linear Algebra and its Applications by Elsevier; Elsevier believes that individual authors should be able to distribute their accepted author manuscripts for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. The Elsevier Policy is as follows: Authors retain the right to use the accepted author manuscript for personal use, internal institutional use and for permitted scholarly posting provided that these are not for purposes of commercial use or systematic distribution. An "accepted author manuscript" is the author’s version of the manuscript of an article that has been accepted for publication and which may include any author-incorporated changes suggested through the processes of submission processing, peer review, and editor-author communications.en_UK
dc.subjectCubic graphen_UK
dc.subjectEigenvalueen_UK
dc.subjectStar complementen_UK
dc.titleEigenvalue multiplicity in cubic graphsen_UK
dc.typeJournal Articleen_UK
dc.identifier.doi10.1016/j.laa.2013.11.036en_UK
dc.citation.jtitleLinear Algebra and its Applicationsen_UK
dc.citation.issn0024-3795en_UK
dc.citation.volume444en_UK
dc.citation.spage211en_UK
dc.citation.epage218en_UK
dc.citation.publicationstatusPublisheden_UK
dc.citation.peerreviewedRefereeden_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.author.emailpeter.rowlinson@stir.ac.uken_UK
dc.contributor.affiliationMathematicsen_UK
dc.identifier.isiWOS:000331026800015en_UK
dc.identifier.scopusid2-s2.0-84891633432en_UK
dc.identifier.wtid659390en_UK
dc.contributor.orcid0000-0003-4878-3203en_UK
dcterms.dateAccepted2014-03-31en_UK
dc.date.filedepositdate2014-01-28en_UK
rioxxterms.apcnot requireden_UK
rioxxterms.typeJournal Article/Reviewen_UK
rioxxterms.versionAMen_UK
local.rioxx.authorRowlinson, Peter|0000-0003-4878-3203en_UK
local.rioxx.projectInternal Project|University of Stirling|https://isni.org/isni/0000000122484331en_UK
local.rioxx.freetoreaddate2014-03-31en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||2014-03-31en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2014-03-31|en_UK
local.rioxx.filenameCubic3A.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source0024-3795en_UK
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