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Dominique Buset
Department of Mathematics Universite Libre de Bruxelles
Electrical & Electronics Engineering

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Antimagicness for a family of generalized antiprism graphs Dominique Buset; Mirka Miller; Oudone Phanalasy; Joe Ryan
Electronic Journal of Graph Theory and Applications (EJGTA) Vol 2, No 1 (2014): Electronic Journal of Graph Theory and Applications
Publisher : GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.5614/ejgta.2014.2.1.4

Abstract

An antimagic labeling of a graph $G=(V,E)$ is a bijection from the set of edges $E$ to the set of integers $\{1,2,\dots, |E|\}$ 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.
Co-Authors Joe Ryan Mirka Miller Oudone Phanalasy