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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/18461
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dc.contributor.authorRowlinson, Peteren_UK
dc.date.accessioned2014-01-29T23:18:14Z-
dc.date.available2014-01-29T23:18:14Z-
dc.date.issued2011-11en_UK
dc.identifier.urihttp://hdl.handle.net/1893/18461-
dc.description.abstractSuppose that G is a connected graph of order n and girth g<n. Let k be the multiplicity of an eigenvalue μ of G. Sharp upper bounds for k are n-g+2 when μ∈{-1,0}, and n-g otherwise. The graphs attaining these bounds are described.en_UK
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.relationRowlinson P (2011) On eigenvalue multiplicity and the girth of a graph. Linear Algebra and Its Applications, 435 (10), pp. 2375-2381. https://doi.org/10.1016/j.laa.2010.10.020en_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.subjectGraphen_UK
dc.subjectGirthen_UK
dc.subjectEigenvalueen_UK
dc.subjectStar complementen_UK
dc.titleOn eigenvalue multiplicity and the girth of a graphen_UK
dc.typeJournal Articleen_UK
dc.identifier.doi10.1016/j.laa.2010.10.020en_UK
dc.citation.jtitleLinear Algebra and its Applicationsen_UK
dc.citation.issn0024-3795en_UK
dc.citation.volume435en_UK
dc.citation.issue10en_UK
dc.citation.spage2375en_UK
dc.citation.epage2381en_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:000292663300006en_UK
dc.identifier.scopusid2-s2.0-79958811137en_UK
dc.identifier.wtid654599en_UK
dc.contributor.orcid0000-0003-4878-3203en_UK
dcterms.dateAccepted2011-11-30en_UK
dc.date.filedepositdate2014-01-28en_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.freetoreaddate2014-01-28en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2014-01-28|en_UK
local.rioxx.filenameGirth4a.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source0024-3795en_UK
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