On graphs with given neighbourhoods
Peter Bugata, Mirko Horňák, Stanislav Jendroľ (1989)
Časopis pro pěstování matematiky
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Peter Bugata, Mirko Horňák, Stanislav Jendroľ (1989)
Časopis pro pěstování matematiky
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Al-Addasi, Salah, Al-Ezeh, Hasan (2008)
International Journal of Mathematics and Mathematical Sciences
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Ladislav Nebeský (1979)
Czechoslovak Mathematical Journal
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Filip Guldan (1987)
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Jaroslav Ivančo, Tatiana Polláková (2014)
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A graph is called supermagic if it admits a labeling of the edges by pairwise different 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 establish some conditions for graphs with a saturated vertex to be supermagic. Inter alia we show that complete multipartite graphs K1,n,n and K1,2,...,2 are supermagic.