Root Square Mean Labeling of some Triangular Graphs

A graph G with p vertices and q edges is termed RSM graph if it is probable to label the points xϵV with distinct lables ϕ(x) from 1,2,…,q+1 in such a approach that as soon as every line e=uv is labeled with ϕ(e=uv)=⌈√((ϕ(u)^2+ϕ(v)^2)/2) ⌉ or ⌊√((ϕ(u)^2+ϕ(v)^2)/2) ⌋, then the resulting line labels are dissimilar. In this situation ϕ is called a Root Square Mean labeling of G. In this object we prove that some triangular graphs such as track union of two triangular, path union of three triangular, k-path union of two triangular, path union of four triangular, path union of six triangular and k-path union of four triangular are root square mean graphs