Antimagicness for a family of generalized antiprism graphs
Main Authors: | Buset, Dominique; Department of Mathematics Universite Libre de Bruxelles, Miller, Mirka; School of Mathematical and Physical Sciences University of Newcastle, Phanalasy, Oudone; School of Mathematical and Physical Sciences University of Newcastle, Ryan, Joe; School of Electrical Engineering and Computer Science University of Newcastle |
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Format: | Article info application/pdf eJournal |
Bahasa: | eng |
Terbitan: |
GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB
, 2014
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Subjects: | |
Online Access: |
http://www.ejgta.org/index.php/ejgta/article/view/43 http://www.ejgta.org/index.php/ejgta/article/view/43/16 |
Daftar Isi:
- 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.