Publication:
The full metamorphosis of λ-fold block designs with block size four into A-fold 4-cycle systems

dc.contributor.coauthorLindner, Charles Curtis
dc.contributor.departmentDepartment of Mathematics
dc.contributor.kuauthorKüçükçifçi, Selda
dc.contributor.kuauthorYazıcı, Emine Şule
dc.contributor.kuprofileFaculty Member
dc.contributor.kuprofileFaculty Member
dc.contributor.yokid105252
dc.contributor.yokid27432
dc.date.accessioned2024-11-09T23:54:12Z
dc.date.issued2012
dc.description.abstractLet (X, B) be a lambda-fold block design with block size 4. If a pair of disjoint edges are removed from each block of B the resulting collection of 4-cycles C is a partial lambda-fold 4-cycle system (X, C). If the deleted edges can be arranged into a collection of 4-cycles D, then (X,C boolean OR D) is a lambda-fold 4-cycle system [10]. Now for each block b is an element of B specify a 1-factorization of b as {F-1(b), F-2(b), F-3(b)} and define for each i = 1,2,3, sets C-i and D-i as follows: for each b is an element of B, put the 4-cycle b backslash F-i(b) in C-i and the 2 edges belonging to F-i(b) in D-i. If the edges in D-i can be arranged into a collection of 4-cycles D-i* then M-i = (X, C-i boolean OR D-i*) is a lambda-fold 4-cycle system, called the ith metamorphosis of (X, B). The full metamorphosis is the set of three metamorphoses {M-1, M-2, M-3}. We give a complete solution of the following problem: for which n and lambda does there exist a lambda-fold block design with block size 4 having a full metamorphosis into a lambda-fold 4-cycle system?
dc.description.indexedbyWoS
dc.description.indexedbyScopus
dc.description.openaccessNO
dc.description.publisherscopeInternational
dc.description.sponsorshipTurkish Academy of Sciences Research supported by Turkish Academy of Sciences for the first author.
dc.description.volume104
dc.identifier.doiN/A
dc.identifier.eissnN/A
dc.identifier.issn0381-7032
dc.identifier.quartileQ4
dc.identifier.scopus2-s2.0-84859247031
dc.identifier.uriN/A
dc.identifier.urihttps://hdl.handle.net/20.500.14288/15159
dc.keywordsMaxiumum packing
dc.keywordsK-N
dc.languageEnglish
dc.publisherCharles Babbage Res Ctr
dc.sourceArs Combinatoria
dc.subjectMathematics
dc.titleThe full metamorphosis of λ-fold block designs with block size four into A-fold 4-cycle systems
dc.typeJournal Article
dspace.entity.typePublication
local.contributor.authorid0000-0002-4954-3116
local.contributor.authorid0000-0001-6824-451X
local.contributor.kuauthorKüçükçifçi, Selda
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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