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dc.contributor.authorGupta, Purnimaen_US
dc.contributor.authorGoyal, Alkaen_US
dc.date.accessioned2024-04-04T16:12:57Z
dc.date.available2024-04-04T16:12:57Z
dc.date.issued2024-04
dc.identifier.citationGupta, P. & Goyal, A. (2024). Secure point set domination in graphs. TWMS Journal Of Applied And Engineering Mathematics, 14(2), 605-617.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5954
dc.identifier.urihttps://jaem.isikun.edu.tr/web/index.php/current/124-vol14no2/1200
dc.description.abstractIn this paper, we introduce the notion of secure point-set domination in graphs. A point-set dominating D of graph G is called a secure point-set dominating set if for every vertex u ? V ?D, there exists a vertex v ? D?N(u) such that (D?{v})?{u} is also a point-set dominating set of G. The minimum cardinality of a secure point-set dominating set is called secure point-set domination number of graph G and will be denoted by ?spsd(G) (or simply ?spsd). For any graph G of order n, ?spsd(G) ? 1 and equality holds if and only if G ?= Kn. Also, for any graph G of order n, ?spsd(G) ? n – 1 and equality holds if and only if G ?= K1,n?1. Here we characterize graphs G with ?spsd(G) = 2. We also establish a family F of 11 graphs such that being F-free is necessary as well as sufficient for a graph G to satisfy ?spsd(G) = n ? 2.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.subjectDominationen_US
dc.subjectPoint-set dominationen_US
dc.subjectSecure dominationen_US
dc.subjectSecure point-set dominationen_US
dc.subjectSecure point-set domination numberen_US
dc.titleSecure point set domination in graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume14
dc.identifier.issue2
dc.identifier.startpage605
dc.identifier.endpage617
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US


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