Some Corona Product of Root Square Mean Labeling
of Graphs

M. Sivasakthi; S. Meena; S. Gangadevi

doi:https://doi.org/10.14445/22315373/IJMTT-V68I7P501

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 7 | Year 2022 | Article Id. IJMTT-V68I7P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I7P501

Some Corona Product of Root Square Mean Labeling of Graphs

M. Sivasakthi, S. Meena, S. Gangadevi

Received	Revised	Accepted	Published
30 May 2022	07 Jul 2022	10 Jul 2022	14 Jul 2022

Abstract

A graph G= (V,E) with p vertices and q edges is said to be a Root Square Mean graph if it is possible to label the vertices x∈V with distinct elements f(x) from 1,2,…,q+1 in such a way that when each edge e=uv is labelled with f(e=uv)= ⌈√ 𝑓(𝑢) 2+𝑓(𝑣) 2 2 ⌉ or ⌊√ 𝑓(𝑢) 2+𝑓(𝑣) 2 2 ⌋, then the resulting edge labels are distinct. In this case f is called a Root Square Mean labeling of G. In this paper we prove that some corona product of Root Square Mean labeling of graphs, such as 𝐿𝑛⨀𝐾1 ,𝑄𝑛⨀𝐾1 , 𝑇𝑛⨀𝐾1 are Root Square Mean labeling of graphs.

Keywords

Graph, Root Square Mean graph, Ln ΘK1, QnΘK1, TnΘ K1.

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Citation :

M. Sivasakthi, S. Meena, S. Gangadevi, "Some Corona Product of Root Square Mean Labeling of Graphs," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 7, pp. 1-5, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I7P501