Zk-Magic Labeling of Path Union of Graphs

ABSTRACT For 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 gr...

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Autores principales:	Jeyanthi,P., Daisy,K. Jeya, Semanicová-Fenovníková,Andrea
Lenguaje:	English
Publicado:	Universidad de La Frontera. Departamento de Matemática y Estadística. 2019
Materias:	A-magic labeling Zk-magic labeling Zk-magic graph generalized Petersen graph shell wheel closed helm double wheel flower cylinder total graph of a path lotus inside a circle n-pan graph
Acceso en línea:	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200015
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spelling	oai:scielo:S0719-064620190002000152019-10-11Zk-Magic Labeling of Path Union of GraphsJeyanthi,P.Daisy,K. JeyaSemanicová-Fenovníková,Andrea A-magic labeling Zk-magic labeling Zk-magic graph generalized Petersen graph shell wheel closed helm double wheel flower cylinder total graph of a path lotus inside a circle n-pan graph ABSTRACT For 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 Z k -magic graph if the group A is Z k , 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 Z k -magic graphs.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.21 n.2 20192019-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200015en10.4067/S0719-06462019000200015
institution	Scielo Chile
collection	Scielo Chile
language	English
topic	A-magic labeling Zk-magic labeling Zk-magic graph generalized Petersen graph shell wheel closed helm double wheel flower cylinder total graph of a path lotus inside a circle n-pan graph
spellingShingle	A-magic labeling Zk-magic labeling Zk-magic graph generalized Petersen graph shell wheel closed helm double wheel flower cylinder total graph of a path lotus inside a circle n-pan graph Jeyanthi,P. Daisy,K. Jeya Semanicová-Fenovníková,Andrea Zk-Magic Labeling of Path Union of Graphs
description	ABSTRACT For 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 Z k -magic graph if the group A is Z k , 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 Z k -magic graphs.
author	Jeyanthi,P. Daisy,K. Jeya Semanicová-Fenovníková,Andrea
author_facet	Jeyanthi,P. Daisy,K. Jeya Semanicová-Fenovníková,Andrea
author_sort	Jeyanthi,P.
title	Zk-Magic Labeling of Path Union of Graphs
title_short	Zk-Magic Labeling of Path Union of Graphs
title_full	Zk-Magic Labeling of Path Union of Graphs
title_fullStr	Zk-Magic Labeling of Path Union of Graphs
title_full_unstemmed	Zk-Magic Labeling of Path Union of Graphs
title_sort	zk-magic labeling of path union of graphs
publisher	Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate	2019
url	http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462019000200015
work_keys_str_mv	AT jeyanthip zkmagiclabelingofpathunionofgraphs AT daisykjeya zkmagiclabelingofpathunionofgraphs AT semanicovafenovnikovaandrea zkmagiclabelingofpathunionofgraphs
_version_	1714206802865815552

Zk-Magic Labeling of Path Union of Graphs

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