Absolute Difference of Square Sum and Sum Mean Prime Labeling of Some Snake Graphs

Abstract: Absolute difference of square sum and sum mean prime labeling of a graph is the labeling of the vertices with {1,2---,p} and the edges with absolute difference of the mean of the squares of the labels of the incident vertices and the sum 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 absolute difference of square sum and sum mean prime labeling. Here we investigate some snake related graphs for absolute difference of square sum and sum mean prime labeling. Keywords: Graph labeling, square sum, prime labeling, prime graphs, snake graphs.