Valuations of a Certain Class of Convex Polytopes

Martin BACA1, Mirka MILLER2
1 Department of Applied Mathematics Technical University, Ko8ice, Slovak Republic
2Department of Computer Science and Software Engineering The University of Newcastle, Australia

Abstract

This paper deals with the problem of labeling the edges of a plane graph in such a way that the weight of a face is the sum of the labels of the edges surrounding that face. The paper describes \((a, d)\)-face antimagic labeling of a certain class of convex polytopes.