ANALYTIC MEAN PRIME LABELING OF SOME PATH RELATED GRAPHS

Abstract

Analytic mean prime labeling of a graph is the labeling of the vertices with {0,1,2-------,p-1} and the edges with mean  of the absolute difference of the squares of the labels of the incident vertices if square difference is even or mean of the absolute difference of the squares of the labels of the incident vertices and one if square difference is odd. 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 analytic mean prime labeling. Here we investigate some path related graphs for analytic mean prime labeling.

 

Keywords - Graph labeling,  square difference, greatest common incidence number, prime labeling, analytic mean, path.