Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2021
  • Volume: 40e
  • Issue: 2

Prime labeling of certain graphs*

  • Author:
  • J. Jeba Jesintha1†, N.K. Vinodhini2, K.S.D. Subiksha3
  • Total Page Count: 5
  • Published Online: Jan 10, 2022
  • Page Number: 167 to 171

1P.G. Department of Mathematics, Women’s Christian College, University of Madras, Chennai, India.

2Department of Mathematics, Anna Adarsh College for Women, University of Madras, Chennai, India.

3P.G. Department of Mathematics, Women’s Christian College, University of Madras, Chennai, India.

Corresponding author J. Jeba Jesintha, E-mail: jjesintha_75@yahoo.com

2. E-mail: vinookaran@yahoo.co.in

3. E-mail: subikshastar1997@gmail.com

Abstract

A graph G = (V, E) 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.

Keywords

Prime labeling, Middle graph, Kite graph, Shell graph