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dc.contributor.authorTuracı, Tufanen_US
dc.date.accessioned2020-11-02T08:50:41Z
dc.date.available2020-11-02T08:50:41Z
dc.date.issued2019
dc.identifier.citationTuracı, T. (2019). On the average lower 2-domination number of a graph. TWMS Journal of Applied and Engineering Mathematics, 9(3), 658-665.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2756
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/102-vol9no3/449
dc.description.abstractComputer scientists and network scientists want a speedy, reliable, and nonstop communication. In a communication network, the vulnerability measures the resistance of the network to disruption of operation after the failure of certain stations or communication links. The average lower 2-domination number of a graph G relative to a vertex v is the cardinality of a minimum 2-dominating set in G containing v. Consider the graph G modeling a network. The average lower 2-domination number of G, denoted as ?2av(G), is a new measure of the network vulnerability, given by ?2av(G) = 1|V (G)|Pv?V (G)?2v(G). In this paper, above mentioned new parameter is defined and examined, also the average lower 2-domination number of well known graph families are calculated. Then upper and lower bounds are determined and exact formulas are found for the average lower 2-domination number of any graph G.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.subjectGraph vulnerabilityen_US
dc.subjectConnectivityen_US
dc.subjectNetwork design and communicationen_US
dc.subjectDomination numberen_US
dc.subjectAverage lower 2-domination numberen_US
dc.subjectBondage numberen_US
dc.subjectDominationen_US
dc.subjectConnectivityen_US
dc.subjectDesignen_US
dc.titleOn the average lower 2-domination number of a graphen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume9
dc.identifier.issue3
dc.identifier.startpage658
dc.identifier.endpage665
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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