k-super cube root cube mean labeling of some corona graphs

Authors

DOI:

https://doi.org/10.22199/issn.0717-6279-5200

Keywords:

k-super cube root cube mean labeling, alternate snake graph, A(Tn) ʘ K₁, A(Tn) ʘ 2K₁, Tn ʘ K₁, A(Qn) ʘ K₁, Pn ʘ K₁,₃

Abstract

Let G be a graph with |V (G)| = p and |E (G)| = q and f : V (G) → {k, k+1, k+2,..., p+q+k − 1 } be an one-to-one function. The induced edge labeling f ∗, for a vertex labeling f is defined by

f ∗(e) =

for all e = uv ∈ E(G) is bijective. If f(V (G)) ∪ {f ∗(e) : e ∈ E(G)} = {k, k+1, k+2,..., p+q+k − 1}, then f is known as a k-super cube root cube mean labeling. If such labeling exists, then G is a k-super cube root cube mean graph. In this paper, I prove that Tn ʘ K1, A(Tn) ʘ K1, A(Tn) ʘ 2K1, A(Qn) ʘ K1, Pn ʘ K1,2 and Pn ʘ K1,3 are k-super cube root cube mean graphs.

 

Author Biography

V. Princy Kala, Holy Cross College (Autonomous).

Department of Mathematics.

References

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V. Princy Kala, “K-Super Cube root cube mean labeling of graphs”, Proyecciones (Antofagasta), vol. 40, no. 5, pp. 1097–1116, 2021. https://doi.org/10.22199/issn.0717-6279-4258

S. Somasundaram and R. Ponraj, “Mean labeling of graphs”, National Academy of Science Letters, vol. 26, pp. 210-213, 2013.

V. S. Radhika and A. Vijayan, “Super Cube root Cube Mean labeling of Graphs”, Journal of Science and Technology, vol. 5, pp. 17-24, 2020.

S. Sandhya, S. Somasundaram and S. Anusa, “Some More Results on Root Square mean Graphs”, Journal of Mathematics Research, vol. 7, no. 1, pp. 72-81, 2015. [On line]. Available: https://bit.ly/30DTCpd

Published

2022-07-28

How to Cite

[1]
V. Princy Kala, “k-super cube root cube mean labeling of some corona graphs”, Proyecciones (Antofagasta, On line), vol. 41, no. 4, pp. 903-921, Jul. 2022.

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Section

Artículos