Vol. 3, Issue 12, Part D (2017)

Abstract
An elegant labeling g of graph G with ‘v’ edges an injective function from the vertices of G to the set {0,1,2,....... v} such that when each edge (e=uv) is assigned the label {(g(x)+g(y)) mod (v+1)} the resulting edge labels are distinct and non-zero. In this paper it is shown to be certain families of line graphs are elegant graphs are elegant graphs.