On root square mean graphs

Abstract

Let f:V(G) → {1,2,….....q+1} be an injective function. For a vertex labeling f, the induced edge labeling f (e=uv) is defined by, f(e=uv)=[ f(u)2+f(v)22 ] or [ f(u)2+f(v)22 ], then the edge labels are distinct and are from {1,2,….. q}. Then f is called a Root Square Mean labeling of G. The concept of Root square mean labeling was introduced by S.S.Sandhya, S.Somasundaram and S.Anusa. In this paper we investigate some results on Root Square Mean labelingof graphs. Also find out Super root square mean labelingof some special graphs.