SUPER EDGE ANTI MAGIC GRACEFUL LABELING OF SOME SPECIAL GRAPHS

( An International Open Access , Peer-reviewed, Refereed Journal )

IJIRTEXPLORE- Search Thousands of research papers

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
Article Preview & Download

Share This Article

AICTE Sponsored National Conference on Smart Systems and Technologies

Last Date: 25th November 2021

LATEST INNOVATION’S AND FUTURE TRENDS IN MANAGEMENT

Last Date: 7th November 2021

IJIRT.org enables door in research by providing high quality research articles in open access market.

Send us any query related to your research on editor@ijirt.org