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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2021, Volume & Issue : BPAS-Maths & Stat 40E(2), JUL-DEC 2021
Page No. : 167-171, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2021.00019.9 (Communicated, edited and typeset in Latex by Lalit Mohan Upadhyaya (Editor-in-Chief). Received April 24, 2020 / Revised September 16, 2021 / Accepted October 21, 2021. Online First Published on December 17, 2021)

Prime labeling of certain graphs

J. Jeba Jesintha 1 , N.K. Vinodhini 2 and K.S.D. Subiksha 3
Author’s Affiliation : 1,3. P.G. Department of Mathematics, Women’s Christian College, University of Madras, Chennai, India. 2. Department of Mathematics, Anna Adarsh College for Women, University of Madras, Chennai, India. 1. E-mail: [email protected] 2. E-mail: [email protected] 3. E-mail: [email protected]

Corresponding Author : J. Jeba Jesintha,
E-Mail:-[email protected]


Abstract

A graph $G=left(V,E ight)$ with $n$ vertices is said to admit prime labeling if its vertices can be labeled with distinct positive integers not exceeding $n$ such that the label of each pair of adjacent vertices are relatively prime. In this paper we obtain the prime labeling for the middle graph of path, kite graph, one point union of shell graphs and the subdivided shell graph with star graph.

2020 Mathematics Subject Classification:  05C78.

Keywords

Prime labeling, Middle graph, Kite graph, Shell graph.
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