SUPER (a, 3)-EDGE-ANTIMAGIC TOTAL LABELINGS FOR UNION OF TWO STARS

An (a, d)-edge-antimagic total labeling of a graph G = (V, E) with p vertices and q edges is a bijection f : VUE -> {1, 2, 3,...,p + q} such that all the edge-weights w(uv) = f (u) + f (v) + f (uv); uv is an element of E(G), form an arithmetic progression starting from a and having common difference d. An (a, d)-edge-antimagic total labeling is called a super (a, d)-edge-antimagic total labeling ((a, d)-SEAMT labeling) if f (V(G)) = {1, 2, 3,...,p}. In this paper we investigate the existence of (a, 3)-SEAMT labelings for union of two stars.