On magic and supermagic line graphs
Jaroslav Ivančo, Z. Lastivková, A. Semaničová (2004)
Mathematica Bohemica
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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.