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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.

Reference

  1. F. Harary, Graph Theory, Addition-Wesley, Reading, Mass, 1972.
  2. David M. Burton, Elementary Number Theory, Second Edition,Wm. C. Brown Company Publishers, 1980.
  3. J. A. Gallian, A dynamic survey of graph labeling, Electronic Journal of Combinatorics, 17 (2010), DS6.
  4. L. W. Beineke and S. M. Hegde, Strongly multiplicative graphs, Discuss. Math. Graph Theory, 21(2001), 63-75.
  5. G. S. Bloom and S. W. Golomb, Applications of numbered undirected graphs, Proceedings of IEEE, 165(4)(1977), 562-570.
  6. I. Cahit, Cordial graphs, A weaker version of graceful and harmonius graphs, Ars Combinatoria, 23(1987), 201-207.
  7. S. K. Vaidya, G. V. Ghodasara, Sweta Srivastav and V. J. Kaneria, Some new cordial graphs, Int. J. of Math and Math. Sci 4(2)(2008)81-92.
  8. I. Cahit, On cordial and 3-equitable labeling of graphs, Utilitas Math, 37(1990), 189-198.
  9. M. Z. Youssef, A necessary condition on k-equitable labelings, Utilitas Math, 64(2003), 193-195.
  10. M. Sundaram, R. Ponraj and S. Somasundaram, Prime cordial labeling of graphs, Journal of Indian Academy of Mathematics, 27(2005), 373-390.
  11. S. K. Vaidya and P. L. Vihol , Prime cordial labeling of some graphs, Modern Applied Science, 4(8)(2010), 119-126.

Keywords

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