Face Bimagic Mean Labeling of Herschel Graphs and Its Operations

Authors

  • S. Vani Shree Department of Mathematics, Faculty of Engineering and Technology, SRM Institute Of Science And Technology, Ramapuram, Chennai, Tamil Nadu 600089, India https://orcid.org/0000-0002-0790-4833
  • S. Dhanalakshmi Department of Mathematics, Faculty of Engineering and Technology, SRM Institute Of Science And Technology, Ramapuram, Chennai, Tamil Nadu 600089, India https://orcid.org/0000-0002-7537-7975

DOI:

https://doi.org/10.37256/cm.5120242489

Keywords:

Herschel Graph, bimagic labeling, fusion, duplication, mean labeling, face bimagic mean labeling

Abstract

A bijection ϕ: V(G)→{1,2, . . . , |V(G)|} is called a (1,0,0)-F-face bimagic mean labeling (FBMML) of G if the induced face labeling ϕ*(fi) = mceclip1-48b539c99864f6afdb43a2e4af416302.png = mceclip2-c4d23fead9d0e66a056f52afbc0b7948.png = k1 or k2, constant. This work investigates the possibility of face bimagic mean labeling of a Herschel graph. Also, a study of face bimagic mean labeling during the process of fusion of vertices of degree 3 of a Herschel graph and the duplication of vertices by the edge of a Herschel graph is provided in this research paper.

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Published

2024-01-30

How to Cite

1.
Vani Shree S, Dhanalakshmi S. Face Bimagic Mean Labeling of Herschel Graphs and Its Operations. Contemp. Math. [Internet]. 2024 Jan. 30 [cited 2024 Feb. 27];5(1):209-2. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/2489