MINIMUM GENERATING SETS FOR COMPLETE GRAPHS

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dc.authorid0000-0001-6055-111X
dc.contributor.authorAltinok, Selma
dc.contributor.authorDilaver, Gokcen
dc.date.accessioned2026-02-12T21:05:22Z
dc.date.available2026-02-12T21:05:22Z
dc.date.issued2023
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractLet G be a graph with edges labeled by ideals of a commutative ring R with identity. Such a graph is called an edge-labeled graph over R. A generalized spline is a vertex labeling so that the difference between the labels of any two adjacent vertices lies in the ideal corresponding to the edge. These generalized splines form a module over R. In this paper, we consider complete graphs whose edges are labeled with proper ideals of Z/mZ. We compute minimum generating sets of constant flow-up classes for spline modules on edge-labeled complete graphs over Z/mZ and determine their rank under some restrictions.
dc.identifier.endpage1253
dc.identifier.issn2146-1147
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85165110613
dc.identifier.scopusqualityQ3
dc.identifier.startpage1239
dc.identifier.urihttps://hdl.handle.net/20.500.12885/6932
dc.identifier.volume13
dc.identifier.wosWOS:001025816800034
dc.identifier.wosqualityQ4
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTurkic World Mathematical Soc
dc.relation.ispartofTwms Journal of Applied and Engineering Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20260212
dc.subjectGeneralized splines
dc.subjectalgebraic graph theory
dc.titleMINIMUM GENERATING SETS FOR COMPLETE GRAPHS
dc.typeArticle

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