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Q4-factorization of λ kn and λ kx(m)

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dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultymemberNo
dc.contributor.kuauthorDoğan, Oğuz
dc.contributor.schoolcollegeinstituteCollege of Sciences
dc.date.accessioned2024-11-09T23:01:35Z
dc.date.issued2020
dc.description.abstractIn this study, we show that necessary conditions for Q4- factorization of λKn and λKx(m) (complete x partite graph with parts of size m) are sufficient. We proved that there exists a Q4-factorization of λKx(m) if and only if mx 0 (mod 16) and λm(x - 1) 0 (mod 4). This result immediately gives that λKn has a Q4-factorization if and only if n 0 (mod 16) and λ 0 (mod 4). © 2020 University of Calgary. All rights reserved.
dc.description.fulltextNo
dc.description.harvestedfromManual
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.peerreviewstatusPeer-Reviewed
dc.description.publisherscopeInternational
dc.description.readpublishN/A
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipThis research was supported by the Scientific and Technological Research Council ofTurkey, Grant Number: 114F505. The author is grateful to the anonymous referee, SeldaKüçükçiftçi, and Emine Sule Yazıcı for valuable comments on this manuscript.
dc.description.studentonlypublicationYes
dc.description.studentpublicationYes
dc.description.versionN/A
dc.identifier.doi10.11575/CDM.V15I2.62352
dc.identifier.embargoN/A
dc.identifier.endpage26
dc.identifier.grantno114F505
dc.identifier.issn1715-0868
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85108072195
dc.identifier.startpage18
dc.identifier.urihttps://doi.org/10.11575/CDM.V15I2.62352
dc.identifier.urihttps://hdl.handle.net/20.500.14288/8263
dc.identifier.volume15
dc.keywordsComplete graph
dc.keywordsComplete multipartite graph
dc.keywordsCube decomposition
dc.keywordsFactorization
dc.language.isoeng
dc.publisherUniversity of Calgary
dc.relation.affiliationKoç University
dc.relation.collectionKoç University Institutional Repository
dc.relation.ispartofContributions to Discrete Mathematics
dc.relation.openaccessN/A
dc.rightsN/A
dc.subjectMathematics
dc.titleQ4-factorization of λ kn and λ kx(m)
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.kuauthorDoğan, Oğuz
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
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