On \(d\)-Antimagic Labelings of Prisms

Abstract

We refer to a labeling of a plane graph as a d-antimagic labeling if the vertices, edges and faces of the graph are labeled in such a way that the label of a face and the labels of vertices and edges surrounding that face add up to a weight of the face and the weights
of faces constitute an arithmetical progression of difference \(d\). In this paper we deal with \(d\)-antimagic labeling of prisms.