Abstract
Let G = (V, E) be finite, simple and undirected graphs with vertex set and edge set V(G) and E(G) respectively, having vertical bar V(G)vertical bar = p and vertical bar E(G)vertical bar = q. A (p, q)-graph is edge-magic if there exists a bijective function lambda : V(G) boolean OR E(G) -> {1, 2, ... , p + q} such that lambda(u) + lambda(uv) + lambda(v) = k, for all edge uv is an element of E(G), where k is called the magic constant or sometimes the valence of lambda. An edge-magic total labeling lambda is called super edge-magic total if lambda(V(G)) = {1, 2, ... , p}. In this paper, we study the super edge-magicness of zig-zag triangle, disjoint union of combs, disjoint union of stars, and the disjoint union of a star and a banana tree.