Cardinal labeling of H-graphs

  • A. Punitha Tharani
  • S. Pratiksha
Keywords: cardinal, graph subdivision, graph corona, H-graph, H-cracker graph

Abstract

Let G (V,E) be a simple connected undirected graph. Let |V|=p, |E|=q and let C = { 1,2..., p+q}. G is said to admit cardinal labeling if the one-to-one function f from the vertex set V into the set C generates a one-to-one edge function f* onto the set C\f (V) defined by |f(u)-f(v)|= f*(uv) ∀ uv ∈ E. A graph G is said to be cardinal if it admits cardinal labeling. In this paper we have discussed cardinal labeling for H- graph H_n, subdivided H-graph S(H_n), corona of H-graphH_n ⨀▒K_1 ,H_n ⨀▒〖mK〗_1  and H-cracker graphH_(n,k).

 

Author Biographies

A. Punitha Tharani

Associate Professor, Department of Mathematics, St.Mary’s College (Autonomous), Thoothukudi-628 001, Tamil Nadu, India, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627 012, Tamil Nadu, India. 

S. Pratiksha

Research Scholar (Register number: 21212212092004), Department of Mathematics, St.Mary’s College (Autonomous), Thoothukudi-628 001, Tamil Nadu, India, Affiliated to Manonmaniam Sundaranar University, Abishekapatti, Tirunelveli-627 012, Tamil Nadu, India.

References

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[3] R. Ponraj, S. Subbulakshmi and S. Somasundaram, 4-Total Mean Cordial Labeling of Some Graphs Derived from H-Graph and Star, International Journal of Mathematical Combinatorics, Volume 3 (2022), pp. 99-106.
[4] A. Sugumaran and V. Mohan, Prime Cordial Labeling of Some Graphs Related to H-Graph, Annals of Pure and Applied Mathematics, Volume 16, No. 1 (2018), pp. 171-176.
[5] R. Vasuki, P. Sugirtha and J. Venkateshwari, Super Mean Labeling of some Subdivision Graphs, Kragujevac Journal of Mathematics, Volume 41 (2) (2017), pp. 179-201.
Published
2024-10-10
How to Cite
A. Punitha Tharani, & S. Pratiksha. (2024). Cardinal labeling of H-graphs. Revista Electronica De Veterinaria, 25(1), 2251-2259. https://doi.org/10.69980/redvet.v25i1.1179
Section
Articles