Bondage and strong-weak bondage numbers of transformation graphs Gxyz

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dc.contributor.authorAytaç, A.
dc.contributor.authorTuraci, T.
dc.date.accessioned2024-09-29T16:16:36Z
dc.date.available2024-09-29T16:16:36Z
dc.date.issued2016
dc.departmentKarabük Üniversitesien_US
dc.description.abstractLet G(V(G), E(G)) be a simple undirected graph. A dominating set of G is a subset D ? V(G) such that every vertex in V(G) - D is adjacent to at least one vertex in D. The minimum cardinality taken over all dominating sets of G is called the domination number of G and also is denoted by ?(G). There are a lot of vulnerability parameters depending upon dominating set. These parameters are strong and weak domination numbers, reinforcement number, bondage number, strong and weak bondage numbers, etc. The bondage parameters are important in these parameters. The bondage number b(G) of a nonempty graph G is the cardinality of a smallest set of edges whose removal from G results in a graph with domination number greater than ?(G). In this paper, the bondage parameters have been examined of transformation graphs, then exact values and upper bounds have been obtained. © 2016 Academic Publications, Ltd.en_US
dc.description.sponsorshipEge Üniversitesi, (2011/FEN/064)en_US
dc.identifier.doi10.12732/ijpam.v106i2.30
dc.identifier.endpage698en_US
dc.identifier.issn1311-8080
dc.identifier.issue2en_US
dc.identifier.scopus2-s2.0-84975318482en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.startpage689en_US
dc.identifier.urihttps://doi.org/10.12732/ijpam.v106i2.30
dc.identifier.urihttps://hdl.handle.net/20.500.14619/9195
dc.identifier.volume106en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAcademic Pressen_US
dc.relation.ispartofInternational Journal of Pure and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectBondage numberen_US
dc.subjectConnectivityen_US
dc.subjectDomination numberen_US
dc.subjectGraph vulnerabilityen_US
dc.subjectNetwork design and communicationen_US
dc.subjectStrong and weak bondage numberen_US
dc.subjectStrong and weak domination numberen_US
dc.subjectTransformation graphsen_US
dc.titleBondage and strong-weak bondage numbers of transformation graphs Gxyzen_US
dc.typeArticleen_US

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