International Journal of Engineering, Science and Mathematics
  • Year: 2015
  • Volume: 4
  • Issue: 3

Some New Families Of Strongly Prime Graphs

  • Author:
  • S. Meena, P. Kavitha
  • Total Page Count: 18
  • Page Number: 40 to 57

*Associate Professor, Govt Arts College, Chidambaram-608 102, India

**Assistant Professor, S.R.M University, Chennai-603 203, India

Online published on 19 April, 2016.

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 exceedingsuch that the label of each pair of adjacent vertices are relatively prime. A graph G which admits prime labeling is called a prime graph and a graph G is said to be a strongly prime graph if for any vertex v of G there exists a prime labeling f satisfying fv =1. In the present work we investigate some classes of graphs and subdivision of some classes of graphs which admit strongly prime labeling.

Keywords

Graph labeling, prime labeling, prime graph, strongly prime graph