Applications Offarey Edge Graceful Of Radio Analytic Mean Labeling Diameter 2 Of Path Related Graphs

Abstract

Let G be a simple,  Connected  and undirected FEGG.If every edge E_i  is  assigned a  unique label from   Farey sequence   F_k   objectively  and  each vertex having  distinct label as the sum  of all   adjacent  edge  labels  x₂-x₁ .then  Such  Labelling is  called as FEGL.  The  Highest  edge  labelling  x₂-x₁  among all  edges  is provided to  Farey  edge  strength of  G .Also   Farey  Edge graceful Graph  in all  the  vertex  Pair  satisfied  Radio  Analytic  mean  condition d(x,y)+  1+diam G . Which vertex having highest Integer it is called    FEGRAM.