• SOME NEW RESULTS ON HARMONIC MEAN GRAPHS

Abstract

A Graph G = (V, E) with p vertices and q edges is called a Harmonic mean graph if it is possible to label the vertices xÎV with distinct labels from 1,2….q+1 in such a way that when each edge e = uv is labeled with

f(e = uv) = (or) , then the edge labels are distinct. In this case f is called Harmonic Mean labeling of G.

In this paper we prove the Harmonic mean labeling behaviour for some new graphs.