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Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/23940
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dc.contributor.authorRowlinson, Peteren_UK
dc.date.accessioned2017-03-21T23:07:37Z-
dc.date.available2017-03-21T23:07:37Z-
dc.date.issued2016en_UK
dc.identifier.urihttp://hdl.handle.net/1893/23940-
dc.description.abstractLet G be a connected non-bipartite graph with exactly three distinct eigenvalues Rho, mu, lambda, where Rho >mu >lambda. In the case that G has just one non-main eigenvalue, we find necessary and sufficient spectral conditions on a vertex-deleted subgraph of G for G to be the cone over a strongly regular graph. Secondly, we determine the structure of G when just mu is non-main and the minimum degree of G is 1 + mu − lambda mu: such a graph is a cone over a strongly regular graph, or a graph derived from a symmetric 2-design, or a graph of one further type.en_UK
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.relationRowlinson P (2016) On graphs with just three distinct eigenvalues. Linear Algebra and Its Applications, 507, pp. 462-473. https://doi.org/10.1016/j.laa.2016.06.031en_UK
dc.rightsDuring the embargo use Request a Copy at the foot of the record. You can only request a copy to use for your own research or private study. Published in Linear Algebra and Its Applications by Elsevier; Elsevier believes that individual authors should be able to distribute their AAMs for their personal voluntary needs and interests, e.g. posting to their websites or their institution’s repository, e-mailing to colleagues. However, our policies differ regarding the systematic aggregation or distribution of AAMs to ensure the sustainability of the journals to which AAMs are submitted. Therefore, deposit in, or posting to, subject-oriented or centralized repositories (such as PubMed Central), or institutional repositories with systematic posting mandates is permitted only under specific agreements between Elsevier and the repository, agency or institution, and only consistent with the publisher’s policies concerning such repositories. Voluntary posting of AAMs in the arXiv subject repository is permitted.en_UK
dc.subjectMain eigenvalueen_UK
dc.subjectMinimum degreeen_UK
dc.subjectStrongly regular graphen_UK
dc.subjectSymmetric 2-designen_UK
dc.subjectVertex-deleted subgraphen_UK
dc.titleOn graphs with just three distinct eigenvaluesen_UK
dc.typeJournal Articleen_UK
dc.rights.embargodate2017-06-22en_UK
dc.rights.embargoreason[Three6.pdf] Publisher requires embargo of 12 monthsen_UK
dc.identifier.doi10.1016/j.laa.2016.06.031en_UK
dc.citation.jtitleLinear Algebra and its Applicationsen_UK
dc.citation.issn0024-3795en_UK
dc.citation.volume507en_UK
dc.citation.spage462en_UK
dc.citation.epage473en_UK
dc.citation.publicationstatusPublisheden_UK
dc.citation.peerreviewedRefereeden_UK
dc.type.statusAM - Accepted Manuscripten_UK
dc.author.emailpr@maths.stir.ac.uken_UK
dc.citation.date21/06/2016en_UK
dc.contributor.affiliationMathematicsen_UK
dc.identifier.isiWOS:000382591700030en_UK
dc.identifier.scopusid2-s2.0-84978514849en_UK
dc.identifier.wtid554256en_UK
dc.contributor.orcid0000-0003-4878-3203en_UK
dc.date.accepted2016-06-17en_UK
dcterms.dateAccepted2016-06-17en_UK
dc.date.filedepositdate2016-08-01en_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.freetoreaddate2017-06-22en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||2017-06-21en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2017-06-22|en_UK
local.rioxx.filenameThree6.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source0024-3795en_UK
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