Skolem difference Lucas mean labelling for Some Special Graphs

Abstract

A graph  with  vertices and  edges is said to have Skolem difference Lucas mean labelling if it is possible to label the vertices  with distinct elements  from the set  in such a way that the edge is labelled with  if   is even and     if   is odd, then the resulting edge labels are distinct and are from . A graph that admits Skolem difference Lucas mean labelling is called a Skolem difference Lucas mean graph. In this paper, we prove for some graphs such as triangular snake graph   , The triangular snake  , Umbrella,   ,    are Skolem difference Lucas mean graph.