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dc.contributor.authorAskari, Saeiden_US
dc.contributor.authorMojdeh, Doost Alien_US
dc.contributor.authorNazari, Esmaeilen_US
dc.date.accessioned2022-04-05T13:37:43Z
dc.date.available2022-04-05T13:37:43Z
dc.date.issued2022
dc.identifier.citationAskari, S., Mojdeh, D. A. & Nazari, E. (2022). Total global dominator chromatic number of graphs. TWMS Journal Of Applied And Engineering Mathematics, 12(2), 650-661.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3845
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/115-vol12no2/850
dc.description.abstractLet G = (V, E) be k-colorable (k-vertex colorable) graph and Vi ⊆ V be the class of vertices with color i. Then we assume that f = (V1, V2, · · · , Vk) is a coloring of G. A vertex v ∈ V (G) is a dominator of f if v dominates all the vertices of at least one color class such as Vi ( Vi is called a dom-color class respected to v) and v is said to be an anti dominator of f if v dominates none of the vertices of at least one color class such as Vi ( Vi is called a anti dom-color class respected to v). A vertex v ∈ V (G) is a total dominator of f, if v dominates all the vertices of at least one color class such as Vi not including v (Vi is called a total dom-color class respected to v). A total global dominator coloring of a graph G is a proper coloring f of G in which each vertex of the graph has a total dom-color class and an anti dom-color class in f. The minimum number of colors required for a total global dominator coloring of G is called the total global dominator chromatic number and is denoted by χt gd(G). In this paper we initiates a study on this notion of total global dominator coloring. The complexity of total global dominator coloring is studied. Some basic results and some bounds in terms of order, chromatic number, domination parameters are investigated. Finally we classify the total global dominator coloring of trees.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_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.subjectTotal global dominationen_US
dc.subjectColoringen_US
dc.subjectDominator coloringen_US
dc.subjectTotal global dominator coloringen_US
dc.titleTotal global dominator chromatic number of graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalTWMS Journal Of Applied And Engineering Mathematicsen_US
dc.identifier.volume12
dc.identifier.issue2
dc.identifier.startpage650
dc.identifier.endpage661
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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