Minimization of multiplicative graphs

In this paper, the new concept minimization of multiplicative labelings has been introduced and a formula for minimization of multiplicative labeling has been introduced. A function f is called a minimization of multiplicative labeling of a graph G with q edges, if f is a bijective function from the vertices of G to the set {1,2,3,…..p} such that when each edge UV is assigned the label f(UV)=f(u)*f(v)-min{f(u),f(v)},then the resulting edge labels are distinct numbers. Moreover, some families of graphs which are coming under minimization of multiplicative labeling are being investigated.