Antimagicness for a family of generalized antiprism graphs

Dominique Buset (Department of Mathematics Universite Libre de Bruxelles)
Mirka Miller (School of Mathematical and Physical Sciences University of Newcastle)
Oudone Phanalasy (School of Mathematical and Physical Sciences University of Newcastle)
Joe Ryan (School of Electrical Engineering and Computer Science University of Newcastle)

Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 2, No 1 (2014): Electronic Journal of Graph Theory and Applications

An antimagic labeling of a graph $G=(V,E)$ is a bijection from the set of edges $E$ to the set of integers $\{1,2,\dots, |E|\}$ such that all vertex weights are pairwise distinct, where the weight of a vertex is the sum of all edge labels incident with that vertex. A graph is antimagic if it has an antimagic labeling. In this  paper we provide constructions of antimagic labelings for a family of generalized antiprism graphs and generalized toroidal antiprism graphs.