Jaroslav Ivančo, Tatiana Polláková, Institute of Mathematics, P. J. Šafárik University, Jesenná 5, 041 54 Košice, Slovakia, e-mail: jaroslav.ivanco@upjs.sk, tatiana.pollakova@student.upjs.sk
Abstract: A graph is called magic (supermagic) if it admits a labeling of the edges by pairwise different (and consecutive) integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. In this paper we characterize magic joins of graphs and we establish some conditions for magic joins of graphs to be supermagic.
Keywords: magic graph, supermagic graph, join of graphs
Classification (MSC 2010): 05C78
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