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3-Equitable Prime Cordial Labeling of Graphs

S. Murugesan, D. Jayaraman, J. Shiama Published in Applied Mathematics

3-Equitable Prime Cordial Labeling of Graphs
International Journal of Applied Information Systems
Year of Publication: 2013
© 2012 by IJAIS Journal
Series Volume 5 Number 9
Authors S. Murugesan, D. Jayaraman, J. Shiama
10.5120/ijais13-450974
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  1. S Murugesan, D Jayaraman and J Shiama. Article: 3-Equitable Prime Cordial Labeling of Graphs. International Journal of Applied Information Systems 5(9):1-4, July 2013. BibTeX

    @article{key:article,
	author = "S. Murugesan and D. Jayaraman and J. Shiama",
	title = "Article: 3-Equitable Prime Cordial Labeling of Graphs",
	journal = "International Journal of Applied Information Systems",
	year = 2013,
	volume = 5,
	number = 9,
	pages = "1-4",
	month = "July",
	note = "Published by Foundation of Computer Science, New York, USA"
}

Abstract

A 3-equitable prime cordial labeling of a graphGwith vertex set V is a bijection f from V to f1; 2; :::; jV jg such that if an edge uv is assigned the label 1 if gcd(f(u); f(v)) = 1 and gcd(f(u) + f(v); f(u). . f(v)) = 1, the label 2 if gcd(f(u); f(v)) = 1 and gcd(f(u) + f(v); f(u) . . f(v)) = 2 and 0 otherwise, then the number of edges labeled with i and the number of edges labeled with j differ by atmost 1 for 0 i; j 2. If a graph has a 3-equitable prime cordial labeling, then it is called a 3-equitable prime cordial graph. In this paper, we investigate the 3-equitable prime cordial labeling behaviour of paths, cycles, star graphs and complete graphs.

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Keywords

3-equitable prime cordial labeling, 3-equitable prime cordial graph