Near threshold graphs.
Kirkland, Steve (2009)
The Electronic Journal of Combinatorics [electronic only]
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Kirkland, Steve (2009)
The Electronic Journal of Combinatorics [electronic only]
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Miroslav Fiedler (1973)
Czechoslovak Mathematical Journal
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Dobrynin, V., Pliskin, M., Prosolupov, E. (2004)
The Electronic Journal of Combinatorics [electronic only]
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Ferdinand Gliviak, Peter Kyš, Ján Plesník (1969)
Matematický časopis
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Neel, David L., Orrison, Michael E. (2006)
The Electronic Journal of Combinatorics [electronic only]
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Vladimir Samodivkin (2008)
Discussiones Mathematicae Graph Theory
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The domination number γ(G) of a graph G is the minimum number of vertices in a set D such that every vertex of the graph is either in D or is adjacent to a member of D. Any dominating set D of a graph G with |D| = γ(G) is called a γ-set of G. A vertex x of a graph G is called: (i) γ-good if x belongs to some γ-set and (ii) γ-bad if x belongs to no γ-set. The bondage number b(G) of a nonempty graph G is the cardinality of a smallest set of edges whose removal from G results in a graph...
Al-Addasi, Salah, Al-Ezeh, Hasan (2008)
International Journal of Mathematics and Mathematical Sciences
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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.