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MATHEMATICA BOHEMICA, Vol. 129, No. 1, pp. 33-42 (2004)
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On magic and supermagic line graphs

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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: ` ivanco@science.upjs.sk`, ` semanic@science.upjs.sk`

**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

**Full text of the article:**

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