Publication:
Defining sets of full designs with block size three II

dc.contributor.coauthorDonovan, Diane
dc.contributor.coauthorLefevre, James
dc.contributor.coauthorWaterhouse, Mary
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorYazıcı, Emine Şule
dc.contributor.kuprofileFaculty Member
dc.contributor.yokid27432
dc.date.accessioned2024-11-09T12:39:11Z
dc.date.issued2012
dc.description.abstractA defining set of a t-(v, k, lambda) design is a subcollection of its blocks which is contained in a unique t-design with the given parameters. A minimal defining set is a defining set, none of whose proper subcollections is a defining set. The spectrum of minimal defining sets of a design D is the set {|M| | M is a minimal defining set of D}. The unique simple design with parameters is said to be the full design on v elements. This paper studies the minimal defining sets of full designs when t = 2 and k = 3. The largest known minimal defining set is given. The existence of a continuous section of the spectrum comprising asymptotically 9v (2)/50 values is shown. This gives a quadratic length section of continuous spectrum where only a linear section with respect to v was known before.
dc.description.fulltextYES
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.issue3
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.sponsoredbyTubitakEuTÜBİTAK
dc.description.sponsorshipRaybould fellowship
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TÜBİTAK) Career
dc.description.versionAuthor's final manuscript
dc.description.volume16
dc.formatpdf
dc.identifier.doi10.1007/s00026-012-0143-8
dc.identifier.eissn0219-3094
dc.identifier.embargoNO
dc.identifier.filenameinventorynoIR00245
dc.identifier.issn0218-0006
dc.identifier.linkhttps://doi.org/10.1007/s00026-012-0143-8
dc.identifier.quartileQ4
dc.identifier.scopus2-s2.0-84865448242
dc.identifier.urihttps://hdl.handle.net/20.500.14288/2061
dc.identifier.wos307762800005
dc.keywordsDefining sets
dc.keywordsFull designs
dc.languageEnglish
dc.publisherSpringer
dc.relation.grantno106T574
dc.relation.grantnoDP0664030
dc.relation.grantnoLX0453416
dc.relation.urihttp://cdm21054.contentdm.oclc.org/cdm/ref/collection/IR/id/1270
dc.sourceAnnals of Combinatorics
dc.subjectApplied mathematics
dc.titleDefining sets of full designs with block size three II
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0001-6824-451X
local.contributor.kuauthorYazıcı, Emine Şule
local.publication.orgunit1College of Sciences
local.publication.orgunit2Department of Mathematics
relation.isOrgUnitOfPublication2159b841-6c2d-4f54-b1d4-b6ba86edfdbe
relation.isOrgUnitOfPublication.latestForDiscovery2159b841-6c2d-4f54-b1d4-b6ba86edfdbe

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