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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/21084
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dc.contributor.authorRowlinson, Peteren_UK
dc.date.accessioned2014-09-15T17:55:13Z-
dc.date.available2014-09-15T17:55:13Z-
dc.date.issued2014-10en_UK
dc.identifier.urihttp://hdl.handle.net/1893/21084-
dc.description.abstractLet G be a bipartite graph with μ as an eigenvalue of multiplicity k>1k>1. We show that if G has Kr,sKr,s(1≤r≤s)(1≤r≤s) as a star complement for μ then k≤s-1k≤s-1; moreover if μ is non-main then k≤s-2k≤s-2 for large enough s . We provide examples of graphs in which various bounds on k or s are attained. We also describe the bipartite graphs with K1,sK1,s as a star complement for a non-main eigenvalue of multiplicity s-1>1s-1>1.en_UK
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.relationRowlinson P (2014) On bipartite graphs with complete bipartite star complements. Linear Algebra and Its Applications, 458, pp. 149-160. https://doi.org/10.1016/j.laa.2014.06.011en_UK
dc.rightsThe publisher does not allow this work to be made publicly available in this Repository. Please use the Request a Copy feature at the foot of the Repository record to request a copy directly from the author. You can only request a copy if you wish to use this work for your own research or private study.en_UK
dc.rights.urihttp://www.rioxx.net/licenses/under-embargo-all-rights-reserveden_UK
dc.subjectBipartite graphen_UK
dc.subjectEigenvalueen_UK
dc.subjectStar complementen_UK
dc.subjectSymmetric designen_UK
dc.titleOn bipartite graphs with complete bipartite star complementsen_UK
dc.typeJournal Articleen_UK
dc.rights.embargodate3000-01-01en_UK
dc.rights.embargoreason[Linear Algebra and its Applications 2014.pdf] The publisher does not allow this work to be made publicly available in this Repository therefore there is an embargo on the full text of the work.en_UK
dc.identifier.doi10.1016/j.laa.2014.06.011en_UK
dc.citation.jtitleLinear Algebra and its Applicationsen_UK
dc.citation.issn0024-3795en_UK
dc.citation.volume458en_UK
dc.citation.spage149en_UK
dc.citation.epage160en_UK
dc.citation.publicationstatusPublisheden_UK
dc.citation.peerreviewedRefereeden_UK
dc.type.statusVoR - Version of Recorden_UK
dc.author.emailpeter.rowlinson@stir.ac.uken_UK
dc.contributor.affiliationMathematicsen_UK
dc.identifier.isiWOS:000340329300010en_UK
dc.identifier.scopusid2-s2.0-84903131088en_UK
dc.identifier.wtid625935en_UK
dc.contributor.orcid0000-0003-4878-3203en_UK
dcterms.dateAccepted2014-10-31en_UK
dc.date.filedepositdate2014-09-08en_UK
rioxxterms.apcnot requireden_UK
rioxxterms.typeJournal Article/Reviewen_UK
rioxxterms.versionVoRen_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.freetoreaddate3000-01-01en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||en_UK
local.rioxx.filenameLinear Algebra and its Applications 2014.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source0024-3795en_UK
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