Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2022
  • Volume: 41e
  • Issue: 2

Antimagic labeling of pumpkin graph

1PG Department of Mathematics, Women's Christian College, University of Madras, Chennai, Tamil Nadu600006, India. E-mail: jebajesintha@wcc.edu.in

2Department of Mathematics, Anna Adarsh College for Women, University of Madras, Chennai, India. vinookaran@yahoo.co.in

3PG Department of Mathematics, Women's Christian College, University of Madras, Chennai, Tamil Nadu600006, India. benazir1098@gmail.com

*Corresponding Author: Jeba Jesintha J, PG Department of Mathematics, Women's Christian College, University of Madras, Chennai, Tamil Nadu600006, India. E-mail: jjesintha_75@yahoo.com

Online published on 28 December, 2022.

Abstract

A graph with q edges is called antimagic if its edges can be labeled with 1,2,…,q without repetition such that the sums of the labels of the edges incident to each vertex are distinct. A graph which admits an antimagic labeling is called an antimagic graph. In this paper, we prove that the Pumpkin graph admit antimagic labeling.

Keywords

Antimagic labeling, Pumpkin Graph