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dc.contributor.authorThakkar, Dineshbhaien_US
dc.contributor.authorBadiyani, Sanketen_US
dc.date.accessioned2022-04-01T13:01:35Z
dc.date.available2022-04-01T13:01:35Z
dc.date.issued2022
dc.identifier.citationThakkar, D. & Badiyani, S. (2022). Total roman domination number of graphs. TWMS Journal Of Applied And Engineering Mathematics, 12(2), 445-455.en_US
dc.identifier.issn2146-1147
dc.identifier.issn2587-1013
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/3825
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/115-vol12no2/830
dc.description.abstractIn this paper a characterization of minimal total roman dominating functions has been proved. It has also been proved that if v is a pendant vertex and its neighbor u is not a pendant vertex then f(v) = 0 or 1 for any minimal total roman dominating function f. The operation of vertex removal has been considered. A necessary and sufficient condition under which the total roman domination number increases (under this operation) has been proved. Similarly a necessary and sufficient condition has been proved under which the total roman domination number decreases. Some examples has been given with miscellaneous results. We characterize those graphs for which the total roman domination number is equal to the number of vertices of the graph.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 dominating seten_US
dc.subjectTotal roman dominating functionen_US
dc.subjectTotal roman domination numberen_US
dc.subjectMinimal total roman dominating functionen_US
dc.subjectMinimum total roman dominating functionen_US
dc.titleTotal roman domination 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.startpage445
dc.identifier.endpage455
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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