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Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 33) Last page : ( 38)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00005.7

Root Cube even Mean Labeling of Graph

Dr. Shalini P.1,*, Madhumitha D.2,**

1Associate Professor in Mathematics, PG & Research Department of Mathematics, Cauvery College for women (Autonomous), Tiruchirappalli-620018, India

2PG Scholar, PG & Research Department of Mathematics, Cauvery College for women (Autonomous), Tiruchirappalli-620018, India

*E-mail : drpshalini11@gmail.com

**madhudevaraj2022@gmail.com

Online Published on 08 June, 2023.

Abstract

A graph G = (V,E) with p vertices and q edges is said to be a Root Cube Even 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 labeled with , then the resulting edge labels are distinct. Here f is called a Root Cube Even Mean Labeling of G. In this paper we prove that path, comb, Pn⊙K1,2 is a root cube even Mean Labeling graph.

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