Arithmetic Sequential Graceful Labeling on Star Related Graphs

P Sumathi; G Geetha Ramani

doi:10.17485/IJST/v15i44.1863

Article

Arithmetic Sequential Graceful Labeling on Star Related Graphs

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v15i44.1863

Year: 2022, Volume: 15, Issue: 44, Pages: 2356-2362

Original Article

Arithmetic Sequential Graceful Labeling on Star Related Graphs

P Sumathi¹, G Geetha Ramani^2*

¹Department of Mathematics, C. Kandaswami Naidu College for Men, Chennai, Tamil Nadu, India
²Department of Mathematics, New Prince Shri Bhavani College of Engineering and Technology, Chennai, Tamil Nadu, India

*Corresponding Author
Email: [email protected]

Received Date:14 September 2022, Accepted Date:08 October 2022, Published Date:23 November 2022

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

Abstract

Objectives: To identify a new family of Arithmetic sequential graceful graphs. Methods: The methodology involves mathematical formulation for labeling of the vertices of a given graph and subsequently establishing that these formulations give rise to arithmetic sequential graceful labeling. Findings: In this study, we analyzed some star related graphs namely Star graph, Ustar, t-star, and double star proved that these graphs possess Arithmetic sequential graceful labeling. Novelty: Here, we introduced a new labeling called Arithmetic sequential graceful labeling and we give Arithmetic sequential graceful labeling to some star related graphs.

Keywords: Star graph; t-star; U-star; Graceful labeling; Double star

References

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Copyright

© 2022 Sumathi & Geetha Ramani. 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)