Radio Analytic Mean Labeling of Some Standard Graphs

Abstract

A Radio Analytic mean labelling of a connected graph G is a one to one map f from the vertex v(G) to set Z such that for any two distinct vertices of u and v of G. d(u,v) + ?|f?(u)?^2-f?(v)?^2 |/2? ? 1+ dim G . The Radio Analytic mean number n, is the maximum number assigned to any vertex of G.The Radio mean number of G ,(rmn(G) is the minimum value of taken all over Radio Analytic mean labeling of G. In this paper we find the Radio Anaytic mean number of path graph, cycle graph, star graph, Bi-star graph, complete Bipartite graph.