On Group A-Cordial Labelling of Double Uniform (t1l1,t2l2) Ply
Article Sidebar
Main Article Content
Abstract
Let A denote the multiplicative group {1,−1, i, −i}. In this paper, we define the notion of double uniform (t1l1,t2l2)-ply and prove that it is a group A-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
Downloads
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
How to Cite
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,− 1, i,− 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 s3 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 s3 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, −1, i, −i} Cordial labelling of sum of pn and kn, 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, −1, i, −i} 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