1. STORRE
  2. Faculty of Natural Sciences
  3. Computing Science and Mathematics
  4. Computing Science and Mathematics Journal Articles
Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/18453
Full metadata record
DC FieldValueLanguage
dc.contributor.authorRowlinson, Peteren_UK
dc.date.accessioned2014-01-29T23:10:56Z-
dc.date.available2014-01-29T23:10:56Z-
dc.date.issued2014-02en_UK
dc.identifier.urihttp://hdl.handle.net/1893/18453-
dc.description.abstractLet G be a finite graph with H as a star complement for an eigenvalue other than 0 or -1. Let κ(G), δ(G) denote respectively the vertex-connectivity and minimum degree of G. We prove that κ(G) is controlled by δ(G) and κ(H). In particular, for each k∈N there exists a smallest non-negative integer f(k) such that κ(G)⩾k whenever κ(H)⩾k and δ(G)⩾f(k). We show that f(1)=0, f(2)=2, f(3)=3, f(4)=5 and f(5)=7.en_UK
dc.language.isoenen_UK
dc.publisherElsevieren_UK
dc.relationRowlinson P (2014) Star complements and connectivity in finite graphs. Linear Algebra and Its Applications, 442, pp. 92-98. https://doi.org/10.1016/j.laa.2013.06.021en_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.subjectConnectivityen_UK
dc.subjectEigenvalueen_UK
dc.subjectStar complementen_UK
dc.titleStar complements and connectivity in finite graphsen_UK
dc.typeJournal Articleen_UK
dc.identifier.doi10.1016/j.laa.2013.06.021en_UK
dc.citation.jtitleLinear Algebra and its Applicationsen_UK
dc.citation.issn0024-3795en_UK
dc.citation.volume442en_UK
dc.citation.spage92en_UK
dc.citation.epage98en_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:000329143500009en_UK
dc.identifier.scopusid2-s2.0-84890129154en_UK
dc.identifier.wtid654627en_UK
dc.contributor.orcid0000-0003-4878-3203en_UK
dcterms.dateAccepted2014-02-28en_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.freetoreaddate2014-02-28en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/under-embargo-all-rights-reserved||2014-02-28en_UK
local.rioxx.licencehttp://www.rioxx.net/licenses/all-rights-reserved|2014-02-28|en_UK
local.rioxx.filenameConnectivity3.pdfen_UK
local.rioxx.filecount1en_UK
local.rioxx.source0024-3795en_UK
Appears in Collections:Computing Science and Mathematics Journal Articles

Files in This Item:
File Description SizeFormat 
Connectivity3.pdfFulltext - Accepted Version347.96 kBAdobe PDFView/Open


This item is protected by original copyright

View License
Show simple item record


Items in the Repository are protected by copyright, with all rights reserved, unless otherwise indicated.

The metadata of the records in the Repository are available under the CC0 public domain dedication: No Rights Reserved https://creativecommons.org/publicdomain/zero/1.0/

If you believe that any material held in STORRE infringes copyright, please contact library@stir.ac.uk providing details and we will remove the Work from public display in STORRE and investigate your claim.