Z4p- Magic labeling for some special graphs
Journal: International Journal of Mathematics and Soft Computing (Vol.3, No. 3)Publication Date: 2013-07-10
Authors : .L. Stella Arputha Mary S. Navaneethakrishnan A. Nagarajan;
Page : 61-70
Keywords : A - magic labeling; $Z_4$ - magic labeling; $Z_{4p}$ -magic labeling; $Z_{4p}$-magic 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 $f$ of the edges of $G$ with non zero elements of $A$ such that, the vertex labeling $f^+$ defined as $f^+(v)= Sigma f(uv)$ taken over all edges $uv$ incident at $v$ is a constant cite {rm}. A graph is said to be $A$-magic if it admits an $A$-magic labeling. In this paper we prove that splitting graph of a path, triangular snake and book graphs are $Z_4$-magic graphs. Also we generalize that they are all $Z_{4p}$-magic graphs for any positive integer $p$.
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Last modified: 2013-08-25 01:38:29