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dc.contributor.authorMojdeh, Alien_US
dc.contributor.authorMasoumi, Imanen_US
dc.date.accessioned2023-04-05T13:10:10Z
dc.date.available2023-04-05T13:10:10Z
dc.date.issued2023-04
dc.identifier.citationMojdeh, A. & Masoumi, I. (2023). On the k-distance differential of graphs. TWMS Journal of Applied and Engineering Mathematics, 13(2), 614-625.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/5487
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/119-vol13no2/994
dc.description.abstractLet G = (V, E) be a graph and X ? V . The differential of X is defined as ?(X) = |B(X)| ? |X| where B(X) is a set of all vertices in V ? X which has adjacent vertex in the set X. Also, the differential of a graph G written ?(G), is equal to max{?(X) : X ? V }. In this paper, we initiate the study of k-distance differential of graphs which is a generalization of differential of graphs. In addition, we show that for any connected graph G of order n ? k + 2, the number (2k?1)n / 2k+3 is a sharp lower bound for k-distance differential of G. We also obtain upper bounds for k-distance differential of graphs. Finally, we characterize the graphs whose k-distance differential belongs to {n ? 2, n ? 3, 1}.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.subjectDifferential of graphsen_US
dc.subjectk-distance dominationen_US
dc.subjectk-distance differential of graphen_US
dc.subjectDomination number of graphsen_US
dc.titleOn the k-distance differential of graphsen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume13
dc.identifier.issue2
dc.identifier.startpage614
dc.identifier.endpage625
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US
dc.indekslendigikaynakEmerging Sources Citation Index (ESCI)en_US
dc.indekslendigikaynakScopusen_US


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