Published April 30, 2026
| Version CC-BY-NC-ND 4.0
Journal article
Open
On Group π΄-Cordial Labelling of Double Uniform (π‘1 π1 ,π‘2 π2 ) β Ply
Authors/Creators
- 1. Associate Professor, Department of Mathematics, Modern Education Society's, Nowrosjee Wadia College, Pune (Maharashtra), India.
Contributors
Contact person:
Researcher (3):
- 1. Department of Mathematics, Modern Education Society's, Nowrosjee Wadia College, Pune (Maharashtra), India.
- 2. Associate Professor, Department of Mathematics, Modern Education Society's, Nowrosjee Wadia College, Pune (Maharashtra), India.
Description
Abstract: Let π¨ denote the multiplicative group {π,−π,π, −π}. In this paper, we define the notion of double uniform (ππ ππ , ππ ππ )-ply and prove that it is a group π¨-cordial with each path of length at least 5 by explicitly giving labellings for all the possible cases that arise. Mathematics Subject Classification [2020]: Primary 05C78
Files
A124206010426.pdf
Files
(730.5 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:aab88725cb333060c8c7d0bf0eba1711
|
730.5 kB | Preview Download |
Additional details
Identifiers
- DOI
- 10.54105/ijam.A1242.06010426
- EISSN
- 2582-8932
Dates
- Accepted
-
2026-04-30Manuscript received on 26 February 2026 | First Revised Manuscript received on 05 March 2026 | Second Revised Manuscript received on 20 March 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026.
References
- Gallian, Joseph. (2022). A Dynamic Survey of Graph Labeling. The Electronic Journal of Combinatorics. 1000. 10.37236/11668. https://www.combinatorics.org/files/Surveys/ds6/ds6v25-2022.pdf
- Ponraj, R., A. Gayathri, and S. Somasundaram. "Pair difference cordial labeling of graphs." J. Math. Comput. Sci. 11.3 (2021): 2551-2567. https://scik.org/index.php/jmcs/article/view/5601
- Radha, Jegan, Yuvaraj Venkatesan, Kamalakannan Vitaldas, and Vijayakumar Perumal. "Group {1,β 1, i,β i} cordial labeling in some classes of graphs." In AIP Conference Proceedings, vol. 2790, no. 1, p. 020066. AIP Publishing LLC, 2023. https://doi.org/10.1063/5.0152417
- Samina Boxwala, Aditi S. Phadke, Pramod N. Shinde, On Group ACordial Labelling of Uniform t-Ply, International Journal of Mathematics Trends and Technology, vol. 68, no. 7, pp. 21-25, 2022. https://ijmttjournal.org/archive/ijmtt-v68i7p504
- Cahit, Ibrahim. Cordial Graphs: A Weaker Version of Graceful and Harmonious Graphs. Ars Combinatoria, 23. (1987), 201-208. https://www.researchgate.net/publication/233792958-Cordial-GraphsA-Weaker-Version-of-Graceful-and-Harmonious-Graphs, works remain significant, see the declaration
- Chandra, B. and Kala, Rukhmoni. Group π3 Cordial prime labelling of graphs, Malaya Journal of Mathematics. S. (2019), 403-407. https://www.malayajournal.org/articles/MJM0S010072.pdf https://doi.org/10.26637/MJM0S01/0072
- Chandra, B. and Kala, Rukhmoni. Group π3 Cordial Prime Labelling of Some Graphs, International Journal of Applied Engineering Research, Volume 14, Number 22 (2019), 4203-4208. https://www.ripublication.com/ijaer19/ijaerv14n22_15.pdf
- Athisayanathan, S., Ponraj, R., and Karthik Chidambaram, M. K., Group open brace 1, minus 1, M., K., Group {1, β1, π, βπ} Cordial labelling of sum of ππ and πΎπ, Journal of Mathematical and Computational Science, Vol 7, No 2 (2017), 335-346. https://www.scik.org/index.php/jmcs/article/view/3075
- M. K. Karthik Chidambaram, S. Athisayanathan and R. Ponraj, Group {1, β1, π, βπ} Cordial Labelling of Special Graphs, Palestine Journal of Mathematics Vol. 9(1) (2020), 69-76. https://pjm.ppu.edu/sites/default/files/papers/PJM_October2019_69to76.pdf