Disconnected neighbourhood graphs
Bohdan Zelinka (1986)
Mathematica Slovaca
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Bohdan Zelinka (1986)
Mathematica Slovaca
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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.
Gutman, Ivan, Fuji, Zhang (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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Bohdan Zelinka (1993)
Mathematica Bohemica
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The paper studies graphs in which each pair of vertices has exactly two common neighbours. It disproves a conjectury by P. Hliněný concerning these graphs.