Google scholar arxiv informatics ads IJAIS publications are indexed with Google Scholar, NASA ADS, Informatics et. al.

Call for Paper

-

May Edition 2020

International Journal of Applied Information Systems solicits high quality original research papers for the May 2020 Edition of the journal. The last date of research paper submission is April 15, 2020.

3-Equitable Prime Cordial Labeling of Graphs

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

International Journal of Applied Information Systems
Year of Publication: 2013
© 2012 by IJAIS Journal
10.5120/ijais13-450974
Download full text
  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