Upper and lower bounds for .
Xu, Xiaodong, Luo, Haipeng, Shao, Zehui (2010)
The Electronic Journal of Combinatorics [electronic only]
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Xu, Xiaodong, Luo, Haipeng, Shao, Zehui (2010)
The Electronic Journal of Combinatorics [electronic only]
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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.
Sagnik Sen (2014)
Discussiones Mathematicae Graph Theory
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In this paper we determine, or give lower and upper bounds on, the 2-dipath and oriented L(2, 1)-span of the family of planar graphs, planar graphs with girth 5, 11, 16, partial k-trees, outerplanar graphs and cacti.
Allen, Peter (2010)
The Electronic Journal of Combinatorics [electronic only]
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Al-Addasi, Salah, Al-Ezeh, Hasan (2008)
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. ...
Pavol Híc (1989)
Mathematica Slovaca
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Bijana Borovićanin, Ivan Gutman (2009)
Zbornik Radova
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