International Journal of Advanced Research in Engineering and Applied Sciences
  • Year: 2017
  • Volume: 6
  • Issue: 7

Square Sum Prime Labeling of some Cycle Related Graphs

  • Author:
  • B S Sunoj, Mathew T K Varkey
  • Total Page Count: 6
  • Page Number: 12 to 17

*Department of Mathematics, Government Polytechnic College, Attingal

**Department of Mathematics, T K M College of Engineering, Kollam

Online published on 1 August, 2018.

Abstract

Square sum prime labeling of a graph is the labeling of the vertices with {0, 1, 2-------, p-1} and the edges with sum of the squares of the labels of the incident vertices. The greatest common incidence number of a vertex (gcin) of degree greater than one is defined as the greatest common divisor of the labels of the incident edges. If the gcin of each vertex of degree greater than one is one, then the graph admits square sum prime labeling. Here we identify some cycle related graphs for square sum prime labeling.

Keywords

Graph labeling, square sum, greatest common incidence number, prime labeling