l-HILBERT MEAN LABELING OF SOME PATH RELATED GRAPHS

Abstract

Let  be a graph with  vertices and  edges.  The ^th hilbert number is denoted by  and is defined by   where   A - hilbert mean labeling is an injective function , where that induces a bijection  defined by

for all .  A graph which admits such labeling is called a - hilbert mean graph.  In this paper, a new type of labeling called - hilbert mean labeling is introduced and the path related graphs is studied.

AMS Subject Classification – 05C78