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dc.contributor.authorAbdali Abdlhusein, Mohammeden_US
dc.contributor.authorAl-Harere, Manal Najien_US
dc.date.accessioned2022-01-14T19:31:30Z
dc.date.available2022-01-14T19:31:30Z
dc.date.issued2022
dc.identifier.citationAbdali Abdlhusein, M. & Al-Harere, M. N. (2022). Doubly connected pitchfork domination and it’s inverse in graphs. TWMS Journal Of Applied And Engineering Mathematics, 12(1), 82-91.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3390
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/114-vol12no1/795
dc.description.abstractLet G be a finite, simple, undirected graph and without isolated vertices. A subset D of V is a pitchfork dominating set if every vertex v ? D dominates at least j and at most k vertices of V ? D, for any j and k integers. A subset D?¹ of V ? D is an inverse pitchfork dominating set if D?¹ is a dominating set. The domination number of G, denoted by ?pf (G) is a minimum cardinality over all pitchfork dominating sets in G. The inverse domination number of G, denoted by ??¹ pf (G) is a minimum cardinality over all inverse pitchfork dominating sets in G. In this paper, a special modified pitchfork dominations called doubly connected pitchfork domination and it’s inverse are introduced when j = 1 and k = 2. Some properties and bounds are studied with respect to the order and the size of the graph. These modified dominations are applied and evaluated for several well known and complement graphs.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.subjectDominating seten_US
dc.subjectDoubly connecteden_US
dc.subjectInverse pitchfork dominationen_US
dc.subjectPitchfork dominationen_US
dc.titleDoubly connected pitchfork domination and it’s inverse in graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume12
dc.identifier.issue1
dc.identifier.startpage82
dc.identifier.endpage91
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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