Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2020
  • Volume: 39e
  • Issue: 2

Edge product cordial labeling on duplication of prism graph*

  • Author:
  • J. Jeba Jesintha1, D. Devakirubanithi2, L. Monisha1
  • Total Page Count: 6
  • Published Online: Aug 30, 2021
  • Page Number: 265 to 270

1. P.G. Department of Mathematics, Women’s Christian College, Chennai, Tamil Nadu, India.

2. Department of Mathematics, St. Thomas College of Arts and Science, Chennai, Tamil Nadu, India.

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

2. E-mail: kiruba.1980@yahoo.com

3. E-mail: monishalogu1998@gmail.com

Abstract

For a graph G =(V (G), E(G)), an edge labeling function f : E (G) → {0,1} induces a vertex labeling function f* : V (G) → {0,1} such that f*(v) is the product of the labels of the edges incident to v. This function f is called the edge product cordial labeling of G if the edges with label 1 and label 0 differ by at most 1 and the vertices with label 1 and label 0 also differ at most by 1. In this paper, we obtain an edge product cordial labeling of the duplication of prism graph.

Keywords

Cordial graph, Product cordial graph, Edge product cordial graph, Prism graph, Web graph, Duplication of vertex by edge