A Square Multiplicative Labeling For Some Families Of Graphs

A graph G =(V,E) with p vertices and q edges is said to be a square multiplicative labeling, if  there exists a bijection f :V(G)  {1,2,....., p} such that the induced function such that the induced function f :E (G)  N is given by f(uv)=f(u)²*f(V) ²for every uvÎ E(G) are all distinct. A graph which admits square multiplicative labeling is called square multiplicative graph. In this paper, we have investigated some families of graphs which admit square multiplicative labeling.