Antimagic Face Labeling of Convex Polytopes Based on Biprisms

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.