Distant divisor graph of subdivision of a Graph

Let G = (V;E) be a (p; q) - graph. A shortest path P is called a distant divisor path if l(P) divides q. Distance divisor graphD(G) of a graph G = (V;E) has the vertex set V = V (G) and two vertices in D(G) are adjacent if they have the distant divisor path in G. In this paper, we deal with distant divisor graph of subdivision of some graphs such as path, cycle, star and complete bipartite graph etc. Further we generalize the concept of antipodal graphs and prove that some distant divisor graphs are the generalized antipodal graphs. We also deal with the distant divisor graph of some graphs of diameter 4 and below.