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Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 105) Last page : ( 110)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00015.X

Lehmer-4 Mean Labeling for some Path Related Graphs

Shalini P.1,*, Meena S.A.2,**

1Associate Professor in Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli-620018, (Tamilnadu) India

2PG & Research department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli-620018, (Tamilnadu) India

*E-mail : drpshalini11@gmail.com

**meenaaravinthan@gmail.com

Online Published on 08 June, 2023.

Abstract

A graph G=(V,E) with p vertices and q edges is called Lehmer-4 mean graph, if it is possible to label vertices xεV with distinct label g(x) from 2,4,6,8,.….…... 2p in such a way that when each edge e = uv is labeled with , then the edge labels are distinct. In this case, g is called Lehmer-4 mean labeling of G. In this paper, Lehmer-4 mean labeling for some path related graphs have been introduced.

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Keywords

Star, Tree, Bistar, Graph.

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