Author/Authors :
Buset, Dominique Universite Libre de Bruxelles - Ecole Polytechnique de Bruxelles - Service de Mathematiques, Belgium , Miller, Mirka University of Newcatle - School of Mathematical and Physical Sciences, Australia , Miller, Mirka University of West Bohemia - Department of Mathematics, Czech Republic , Phanalasy, Oudone University of Newcatle - School of Mathematical and Physical Sciences, Australia , Phanalasy, Oudone National University of Laos - Department of Mathematics, Laos , Ryan, Joe University of Newcastle - School of Electrical Engineering and Computer Science, Australia
Abstract :
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, . . . , |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.
Keywords :
antimagic labeling , antimagic generalized antiprism graph , antimagic generalized toroidal antiprism graph
