Proper d-Lucky Labeling of Corona Products of Certain Graphs

Chiranjilal Kujur

doi:10.17485/IJST/v16i9.1910

Article

Proper d-Lucky Labeling of Corona Products of Certain Graphs

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i9.1910

Year: 2023, Volume: 16, Issue: 9, Pages: 668-673

Original Article

Proper d-Lucky Labeling of Corona Products of Certain Graphs

Chiranjilal Kujur^1*

¹Assistant Professor, St. Joseph’s College, Darjeeling, 734426, West Bengal, India

*Corresponding Author
Email: [email protected]

Received Date:21 September 2022, Accepted Date:04 November 2022, Published Date:08 March 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Objectives: The objective of this paper is to find exact proper d-lucky number for corona product graphs of certain graphs. Methods: The results are proved by method of elaboration and construction. Findings: Exact proper d-lucky numbers are obtained for corona products: Pn⊙ Cm, Pn⊙ Km,Cn⊙ Kn and Kn⊙ Kn. Novelty: Proper d-lucky labeling for the corona product of Pn⊙Cm, Pn⊙ Km, Cn⊙ Kn and Kn⊙ Kn are not studied by any other authors, thus the proper dlucky numbers for the above graphs are new findings.

Keywords: Lucky labeling; Proper labeling; d-lucky labeling; Proper d-lucky labeling; Corona product

References

Kumar TVS, Meenakshi S. Lucky and Proper Lucky Labeling of Quadrilateral Snake Graphs. Materials Science and Engineering. 2021;1085(1):12039. Available from: https://iopscience.iop.org/article/10.1088/1757-899X/1085/1/012039/pdf
Miller M, Rajasingh I, DAE, Jemilet DA. d-Lucky Labeling of Graphs. Procedia Computer Science. 2015;57:766–771. Available from: https://doi.org/10.1016/j.procs.2015.07.473
Klavžar S, Rajasingh I, Emilet DA. A lower bound and several exact results on the d-lucky number. Applied Mathematics and Computation. 2020;366:124760. Available from: https://doi.org/10.1016/j.amc.2019.124760
A RAS, S TA. d-lucky labeling of Honeycomb Network. International Journal of Computer Science and Engineering. 2019;7(5):35–39. Available from: https://doi.org/10.26438/ijcse/v7si5.3539
Elrokh AIH, Nada SIM, El-Shafey EMES. Cordial Labeling of Corona Product of Path Graph and Second Power of Fan Graph. Open Journal of Discrete Mathematics. 2021;11(02):31–42. Available from: https://doi.org/10.4236/ojdm.2021.112003

Copyright

© 2023 Kujur. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)