CFP last date
28 July 2025
Call for Paper
August Edition
IJAIS solicits high quality original research papers for the upcoming August edition of the journal. The last date of research paper submission is 28 July 2025

Submit your paper
Know more
The week's pick
Responsive image
Enhancing Financial Time Series Predictions with a Hybrid BNN-LSTM Approach

Anika Tahsin Biva A.B.M. Shahadat Hossain Md. Shafiul Alom Khan Iqbal Habib
Random Articles
Reseach Article

3-Equitable Prime Cordial Labeling of Graphs

by S. Murugesan, D. Jayaraman, J. Shiama
journal cover thumbnail

International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 5 - Number 9
Year of Publication: 2013
Authors: S. Murugesan, D. Jayaraman, J. Shiama
10.5120/ijais13-450974

S. Murugesan, D. Jayaraman, J. Shiama . 3-Equitable Prime Cordial Labeling of Graphs. International Journal of Applied Information Systems. 5, 9 ( July 2013), 1-4. DOI=10.5120/ijais13-450974

@article{ 10.5120/ijais13-450974,
author = { S. Murugesan, D. Jayaraman, J. Shiama },
title = { 3-Equitable Prime Cordial Labeling of Graphs },
journal = { International Journal of Applied Information Systems },
issue_date = { July 2013 },
volume = { 5 },
number = { 9 },
month = { July },
year = { 2013 },
issn = { 2249-0868 },
pages = { 1-4 },
numpages = {9},
url = { https://www.ijais.org/archives/volume5/number9/506-0974/ },
doi = { 10.5120/ijais13-450974 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T17:58:57.183060+05:30
%A S. Murugesan
%A D. Jayaraman
%A J. Shiama
%T 3-Equitable Prime Cordial Labeling of Graphs
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 5
%N 9
%P 1-4
%D 2013
%I Foundation of Computer Science (FCS), NY, 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.

References
  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.
Index Terms

Computer Science
Information Sciences

Keywords

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

Powered by PhDFocusTM