ANALYTIC ODD MEAN LABELING OF SOME DUPLICATE GRAPHS

Abstract

Let  be a finite and simple graph with p vertices and q edges.  In this graph we discuss on the analytic odd mean labeling of some duplicate graphs.   A graph is said to be an analytic odd mean labeling graph if there exists an injective function   for which the induced edge labeling  such that for each edge ab  with  such that

    is injective.  In this paper we have examined on  duplicate of Path , Cycle, Wheel , Helm and Comb graph and have proved that these graphs are analytic odd mean labeling graphs.