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Commun. Korean Math. Soc. 2017; 32(1): 225-231
Online first article September 28, 2016 Printed January 31, 2017
https://doi.org/10.4134/CKMS.c160044
Copyright © The Korean Mathematical Society.
On constructions of new super edge-magic graphs from some old ones by attaching some pendants
Young-Hun Kim
Sogang University
Baskoro et al.~\cite{BaskoroConst} provided some constructions of new super edge-magic graphs from some old ones by attaching 1, 2, or 3 pendant vertices and edges. In this paper, we introduce $(q,m)$-super edge-magic total labeling and we give a construction of new super edge-magic graphs by attaching $n$ pendant vertices and edges under some conditions, for any positive integer $n$. Also, we give a constraint on our construction.
Keywords: edge-magic graphs, super edge-magic graphs
MSC numbers: 05C78
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