MATHEMATICA BOHEMICA, Vol. 129, No. 1, pp. 33-42 (2004)

On magic and supermagic line graphs

J. Ivanco, Z. Lastivkova, A. Semanicova

J. Ivanco, Z. Lastivkova, A. Semanicova, Department of Geometry and Algebra, P. J. Safarik University, 041 54 Kosice, Jesenna 5, Slovakia, e-mail:,

Abstract: A graph is called magic (supermagic) if it admits a labelling of the edges by pairwise different (consecutive) positive integers such that the sum of the labels of the edges incident with a vertex is independent of the particular vertex. We characterize magic line graphs of general graphs and describe some class of supermagic line graphs of bipartite graphs.

Keywords: magic graphs, supermagic graphs, line graphs

Classification (MSC2000): 05C78

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