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Asian Journal of Research in Social Sciences and Humanities
Year : 2016, Volume : 6, Issue : 10
First page : ( 1986) Last page : ( 1997)
Online ISSN : 2249-7315.
Article DOI : 10.5958/2249-7315.2016.01147.3

On MOD(k) Vertex Magic Labeling of Graphs

Sumathi P.*, Fathima B.**,***

*Department of Mathematics, C.K.N College, Chennai, India

**Research Scholar, Department of Mathematics, C.K.N College, Chennai, India

***Assistant Professor, Department of Mathematics (A.N), J.B.A.S College for Women, Teynampet, Chennai, India

Online published on 14 October, 2016.

Abstract

A (p, q) graph G with p vertices and q edges is mod(k)vertex magic if for any integer k≥2, lɛZk and there exists a one-to-one map f from V(G) to and such that for each edge e, the sum of the labels of the vertices adjacent with e are all equal to the same constant modulo k. In this paper, we introduce a new type of labeling namely mod(k) vertex magic labeling of a graph and we prove some classes of graphs are mod(k)vertex magic.

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Keywords

Mod(k)vertex magic, mod(k)vertex magic labeling.

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