Indian Journal of Science and Technology
Year: 2022, Volume: 15, Issue: 46, Pages: 2542-2547
P Sumathi1, N Chandravadana2*
1Head & Associate Professor, Department of Mathematics, C. Kandaswami Naidu College for Men, Chennai, Tamil Nadu, India
2Assistant Professor, Department of Mathematics, Justice Basheer Ahmed Sayeed College for Women, Teynampet, Chennai, Tamil Nadu, India
Email: [email protected]
Received Date:15 September 2022, Accepted Date:25 September 2022, Published Date:10 December 2022
Objective: To identify a new family of Lucas antimagic graph. Methods: A (p;q) graph G is said to be a Lucas antimagic graph if there exists a bijection f : E(G) ! fL1;L2; Lqg such that the induced injective function f : V(G) ! f1;2; : : :åLqg given by f (u) = åe2E(u) f (e) are all distinct (where E(u) is the set of edges incident to u). Findings: In this paper the Lucas Antimagic Labeling of Subdivision of star, Shadow graph of star, Splitting graph of star, Subdivision of Bistar, Shadow graph of Bistar, Splitting graph of Bistar are found. Novelty: It involves the mathematical formulation for labeling the edges of a given graph which in turn gives rise to a new type of labeling called the Lucas antimagic labeling.
Keywords: Subdivision graph; Shadow graph; Splitting graph; Star; Bistar
© 2022 Sumathi & Chandravadana. 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)
Subscribe now for latest articles and news.