Super mean number of a graph
A. Nagarajan, R. Vasuki, S. Arockiaraj (2012)
Kragujevac Journal of Mathematics
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A. Nagarajan, R. Vasuki, S. Arockiaraj (2012)
Kragujevac Journal of Mathematics
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Ľudovít Niepel, Pavel Tomasta (1981)
Czechoslovak Mathematical Journal
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Jaroslav Ivančo, Tatiana Polláková (2014)
Discussiones Mathematicae Graph Theory
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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.
Acharya, B.Devadas, Acharya, Mukti, Sinha, Deepa (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Ivan Gutman, Bojana Borovićanin (2011)
Zbornik Radova
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Jaroslav Ivančo, Tatiana Polláková (2012)
Mathematica Bohemica
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A graph is called magic (supermagic) if it admits a labeling of the edges by pairwise different (and 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 characterize magic joins of graphs and we establish some conditions for magic joins of graphs to be supermagic.
Eshghi, Kourosh (2004)
International Journal of Mathematics and Mathematical Sciences
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H.P. Patil, R. Pandiya Raj (2013)
Discussiones Mathematicae Graph Theory
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The technique of counting cliques in networks is a natural problem. In this paper, we develop certain results on counting of triangles for the total graph of the Mycielski graph or central graph of star as well as completegraph families. Moreover, we discuss the upper bounds for the number of triangles in the Mycielski and other well known transformations of graphs. Finally, it is shown that the achromatic number and edge-covering number of the transformations mentioned above are equated. ...