Publication:
The full metamorphosis of lambda-fold block designs with block size four into lambda-fold kite systems

dc.contributor.coauthorN/A
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKüçükçifçi, Selda
dc.contributor.kuauthorSmith, Benjamin R.
dc.contributor.kuauthorYazıcı, Emine Şule
dc.contributor.kuprofileFaculty Member
dc.contributor.kuprofileResearcher
dc.contributor.kuprofileFaculty Member
dc.contributor.yokid105252
dc.contributor.yokidN/A
dc.contributor.yokid27432
dc.date.accessioned2024-11-09T23:58:23Z
dc.date.issued2013
dc.description.abstractLet(X,B)be a λ-fold block design with block size 4. If a path of length two is removed from each block of B the resulting collection of kites K is a partial λ-fold kite system(X,K). If the deleted edges can be arranged into a collection of kites D,then(X,K ∪ D)is a λ-fold kite system [5]. Now for each block 6 ∈ B let {P1(6),P 2(b),P3(b)} be a partition of b into paths of length two and define for each i = 1,2,3, sets Ki and Di as follows: for each b ∈ B,put the kite b\Pi(b)in Ki and the two edges belonging to the path Pi(b)in Di. If the edges in Di can be arranged into a collection of kites Di * then Mi =(X,Ki∪Di *)is a λ-fold kite system,called the ith metamorphosis of(X,B). The full metamorphosis is the set of three metamorphoses {M 1,M2,M3}. We give a complete solution of the following problem: for which n and A does there exist a λ-fold block design with block size 4 having a full metamorphosis into a λ-fold kite system?
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.openaccessYES
dc.description.publisherscopeInternational
dc.description.volume90
dc.identifier.doiN/A
dc.identifier.issn0315-3681
dc.identifier.linkhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84878130470&partnerID=40&md5=664156ee77c9da456f2e82d9bfac9f7e
dc.identifier.quartileQ4
dc.identifier.uriN/A
dc.identifier.urihttps://hdl.handle.net/20.500.14288/15460
dc.keywordsKite
dc.keywordsBlock designs
dc.languageEnglish
dc.publisherUtilitas Mathematica Publishing
dc.sourceUtilitas Mathematica
dc.subjectMathematics
dc.subjectApplied mathematics
dc.subjectStatistics
dc.subjectprobability
dc.titleThe full metamorphosis of lambda-fold block designs with block size four into lambda-fold kite systems
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-4954-3116
local.contributor.authoridN/A
local.contributor.authorid0000-0001-6824-451X
local.contributor.kuauthorKüçükçifçi, Selda
local.contributor.kuauthorSmith, Benjamin R.
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

Files