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dc.contributor.authorSundareswaran, Ramanen_US
dc.contributor.authorSwaminathan, Venkatasubramanianen_US
dc.date.accessioned2020-10-07T08:28:45Z
dc.date.available2020-10-07T08:28:45Z
dc.date.issued2016-06-30
dc.identifier.citationSundareswaran, R. & Swaminathan, V. (2016). Integrity and domination integrity of gear graphs. TWMS Journal of Applied and Engineering Mathematics, 6(1), 54-63.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2577
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/91-vol6no1/240
dc.description.abstractC.A. Barefoot, et. al. [4] introduced the concept of the integrity of a graph. It is an useful measure of vulnerability and it is defined as follows. I(G) = min{|S| + m(G ? S) : S ? V (G)}, where m(G ? S) denotes the order of the largest component in G ? S. Unlike the connectivity measures, integrity shows not only the difficulty to break down the network but also the damage that has been caused. A subset S of V (G) is said to be an I-set if I(G) = |S| + m(G ? S). We introduced a new vulnerability parameter in [4],namely domination integrity of a graph G. It is a defined as DI(G) = min{|S| + m(G ? S)}, where S is a dominating set of G and m(G ? S) denotes the order of the largest component in G ? S. K.S. Bagga,et. al. [2] gave a formula for I(K2 × Cn). In this paper, we give a correct formula for I(K2 × Cn). We find some results on the integrity and domination integrity of gear graphs.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.subjectConnectivityen_US
dc.subjectNetwork design and communicationen_US
dc.subjectVulnerabilityen_US
dc.subjectIntegrityen_US
dc.subjectDomination integrityen_US
dc.subjectGear graphen_US
dc.titleIntegrity and domination integrity of gear graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume6
dc.identifier.issue1
dc.identifier.startpage54
dc.identifier.endpage63
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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