A NOVEL APPROACH ON l-HILBERT MEAN GRAPHS

Abstract

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

for all .  A graph which admits such labeling is called al-hilbert mean graph.

In this paper, we investigate the l-hilbert mean labelingfor union ofl-hilbert mean graphs with some other graphs.

AMS Subject Classification – 05C78