Vertex magic total labeling of middle and total graph of cycle

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:68 Issue:2
Vertex magic total labeling of middle and total graph of cycle

Vertex magic total labeling of middle and total graph of cycle

Authors : R Vimal KUMAR, D VİJAYALAKSHMİ

Pages : 1335-1340

Doi:10.31801/cfsuasmas.526518

View : 13 | Download : 8

Publication Date : 2019-08-01

Article Type : Research Paper

Abstract :A vertex magic total labeling is a bijection from the union of the vertex set and edge set to the consecutive integers 1,2,3,....,v+e with the property that for every u in the vertex set, the sum of the label of u and the label of the edges incident with u is equal to k, for some constant k. In this paper, we establish the vertex magic labeling of some classes of graphs and provide some open problems related to it.
Keywords : Graph labeling, middle graph, total graph, vertex magic graph

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