On super (a, 1)-edge-antimagic total labelings of subdivision of stars

A graph G(V, E) with order p and size q is called (a, d)-edge-antimagic total labeling graph if there exists a bijective function f : V(G) boolean OR E(G) -> {1, 2, ... , p+q} such that the edge-weights lambda(f) (uv) = f (u)+ f (v)+ f (uv), uv is an element of E(G), form an arithmetic sequence with first term a and common difference d. Such a labeling is called super if the p smallest possible labels appear at the vertices. In this paper, we study super (a, 1)-edge-antimagic properties of l(S-n(m)) for positive integers l, m and n.