1Assistant Professor, Department of Mathematics, Government Polytechnic College, Attingal, Kerala, India
2Assistant Professor, Department of Mathematics, T K M College of Engineering, Kollam, Kerala, India
Online published on 19 April, 2019.
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 graphs for square sum prime labeling.
Graph labeling, Square sum, Greatest common incidence number, Prime labeling