Antimagic Labelings of Antiprisms

A connected graph \(G = (V, E)\) is said to be \((a, d)\)-antimagic if there exist positive integers \(a, d\) and a bijection \(g: E \to \{1,2,\ldots,|E|\}\) such that the induced mapping \(f_g: V \to {N}\), defined by \(f_g(v) = \sum\{g(u,v): (u, v) \in E(G)\} \), is injective and \(f_g(V) = \{a,a+d,\ldots,a+(|V|-1)d\}\). We deal with \((a, d)\)-antimagic labelings of the antiprisms.