Geometric mean labeling of graphs
S. Somasundaram, P Vidhyarani, Raja Ponraj · Bulletin of Pure & Applied Sciences- Mathematics and Statistics · 2011
In this paper we introduce a new labeling called Geometric mean labeling. A graph G (V, E) with p vertices and q edges is said to be a Geometric mean graph if it is possible to label the vertices XEV with distinct labels f(x) from 1,2 ….q+1 in such a way that when each edge e = uv is labeled with (or) then the edge labels are distinct.