Show simple item record

\(Z_k\)-magic labeling of path union of graphs

dc.creatorJeyanthi, P.
dc.creatorJeya Daisy, K.
dc.creatorSemaničová-feňovčíková, Andrea
dc.date2019-08-10
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/2154
dc.identifier10.4067/S0719-06462019000200015
dc.descriptionFor any non-trivial Abelian group A under addition a graph G is said to be A-magic if there exists a labeling f : E(G) → A − {0} such that, the vertex labeling f+ defined as f+(v) = ∑f(uv) taken over all edges uv incident at v is a constant. An A-magic graph G is said to be Zk-magic graph if the group A is Zk, the group of integers modulo k and these graphs are referred as k-magic graphs. In this paper we prove that the graphs such as path union of cycle, generalized Petersen graph, shell, wheel, closed helm, double wheel, flower, cylinder, total graph of a path, lotus inside a circle and n-pan graph are Zk-magic graphs.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/2154/1887
dc.rightsCopyright (c) 2019 CUBO, A Mathematical Journalen-US
dc.sourceCUBO, A Mathematical Journal; Vol. 21 No. 2 (2019); 15–40en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 21 Núm. 2 (2019); 15–40es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectA-magic labelingen-US
dc.subjectZk-magic labelingen-US
dc.subjectZk -magic graphen-US
dc.subjectgeneralized Petersen graphen-US
dc.subjectshellen-US
dc.subjectwheelen-US
dc.subjectclosed helmen-US
dc.subjectdouble wheelen-US
dc.subjectfloweren-US
dc.subjectcylinderen-US
dc.subjecttotal graph of a pathen-US
dc.subjectlotus inside a circleen-US
dc.subjectn-pan graphen-US
dc.title\(Z_k\)-magic labeling of path union of graphsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


This item appears in the following Collection(s)

Show simple item record