Antimagic Face Labeling of Convex Polytopes Based on Biprisms

Martin Baca1, Mirka Miller2
1 Department of Applied Mathematics Technical University Letné 9 042 00 KoSice Slovak Republic
2Department of Computer Science & Software Engineering University of Newcastle NSW 2308 Australia

Abstract

The paper defines \((a, d)\)-face antimagic labeling of a certain class of convex polytopes. The possible values of \(d\) are determined as \(d = 2, 4\) or \(6\). For \(d = 2\) and \(4\) we produce \((9n + 3, 2)\) and \((6n + 4, 4)\)-face antimagic labelings for the polytopes.