SUPER EDGE ANTI MAGIC GRACEFUL LABELING OF SOME SPECIAL GRAPHS

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ISSN: 2349-6002 ESTD Year: 2014

UGC approved journal no 47859

SUPER EDGE ANTI MAGIC GRACEFUL LABELING OF SOME SPECIAL GRAPHS
Author(s):
N.MARY BERNARD
Keywords:
Super edge anti-magic, Graceful labeling, Friendship graph, Dumbbell graph, Middle graph, Prism graph
Abstract
Let G(V,E) be a graph with p vertices and q edges. A Super Edge Anti Magic Graceful Labeling (SEAMGL) of a graph G(p ,q) is a one to one and onto function f:E→{ 1,2,3,…,q } with the property that for each u∈V , ∑_(e∈N(u))〖f(uv)=distinct〗 . Such a labeling is Super Edge Anti Magic Graceful (SEAMG) if \|f(u)+f(v)-f(uv)\|=distinct. A graph G is called Super Edge Anti Magic Graceful (SEAMG) if G admits Super Edge Anti Magic Graceful Labeling. In this paper we determine Friendship graph, Dumbbell graph, Middle graph and Prism graph which are Super Edge Anti Magic Graceful. (SEAMG).
Article Details
Unique Paper ID: 151794 Publication Volume & Issue: Volume 8, Issue 1 Page(s): 1178 - 1181
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