On the average lower 2-domination number of a graph

dc.contributor.authorTuraci, T.
dc.date.accessioned2024-09-29T16:22:33Z
dc.date.available2024-09-29T16:22:33Z
dc.date.issued2019
dc.departmentKarabük Üniversitesien_US
dc.description.abstractComputer scientists and network scientists want a speedy, reliable, and non- stop communication. In a communication network, the vulnerability measures the re- sistance 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 rela- tive 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 num- ber of G, denoted as ?2av(G), is a new measure of the network vulnerability, given by ?2av(G) = 1/|V(G)|?v?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. © Işik University, Department of Mathematics, 2019.en_US
dc.identifier.endpage665en_US
dc.identifier.issn2146-1147
dc.identifier.issue3en_US
dc.identifier.scopus2-s2.0-85074603886en_US
dc.identifier.scopusqualityQ4en_US
dc.identifier.startpage658en_US
dc.identifier.urihttps://hdl.handle.net/20.500.14619/10140
dc.identifier.volume9en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherIsik Universityen_US
dc.relation.ispartofTurkish World Mathematical Society Journal of Applied and Engineering Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectAverage lower 2-domination numberen_US
dc.subjectConnectivityen_US
dc.subjectDom- ination numberen_US
dc.subjectGraph vulnerabilityen_US
dc.subjectNetwork design and communicationen_US
dc.titleOn the average lower 2-domination number of a graphen_US
dc.typeArticleen_US

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