On d-Antimagic Labelings of Type \((1,1,1)\) for Prisms

Martin Baza1, Mirka Miller2
1 Department of Applied Mathematics, Technical University, Letna 9, 042 00 Koaice, Slovak Republic
2Department of Computer Science and Software Engineering, University of Newcastle, NSW 2308, Australia

Abstract

We deal with the problem of labeling the vertices, edges, and faces of a plane graph in such a way that the label of a face and the labels of the vertices and edges surrounding that face add up to a weight of that face, and the weights of all the faces constitute an arithmetical progression of difference \(d\).