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dc.contributor.authorIndah Kristiana, Arikaen_US
dc.contributor.authorAlfarisi, Ridhoen_US
dc.contributor.authorDafiken_US
dc.date.accessioned2023-01-02T14:20:25Z
dc.date.available2023-01-02T14:20:25Z
dc.date.issued2023-01
dc.identifier.citationIndah Kristiana, A., Alfarisi, R. & Dafik. (2023). Local distance irregular labeling of graphs. TWMS Journal Of Applied And Engineering Mathematics, 13(1), 1-10.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5196
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/current/118-vol13no1/938
dc.description.abstractWe introduce the notion of distance irregular labeling, called the local distance irregular labeling. We define ? : V (G) ?? {1, 2, . . . , k} such that the weight calculated at the vertices induces a vertex coloring if w(u) 6? w(v) for any edge uv. The weight of a vertex u ? V (G) is defined as the sum of the labels of all vertices adjacent to u (distance 1 from u), that is w(u) = ?y?N(u)?(y). The minimum cardinality of the largest label over all such irregular assignment is called the local distance irregularity strength, denoted by disl(G). In this paper, we found the lower bound of the local distance irregularity strength of graphs G and also exact values of some classes of graphs namely path, cycle, star graph, complete graph, (n, m)-tadpole graph, unicycle with two pendant, binary tree graph, complete bipartite graphs, sun graph.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectDistance irregularity labelingen_US
dc.subjectLocal distance irregularity strengthen_US
dc.subjectSome families graphen_US
dc.titleLocal distance irregular labeling of graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue1
dc.identifier.startpage1
dc.identifier.endpage10
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakMathScineten_US
dc.indekslendigikaynakScopusen_US


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