Displaying similar documents to “The chromatic number of extended odd graphs is four”

Edge domination in graphs of cubes

Bohdan Zelinka (2002)

Czechoslovak Mathematical Journal

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The signed edge domination number and the signed total edge domination number of a graph are considered; they are variants of the domination number and the total domination number. Some upper bounds for them are found in the case of the n -dimensional cube Q n .

On magic joins of graphs

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.

Sierpiński graphs as spanning subgraphs of Hanoi graphs

Andreas Hinz, Sandi Klavžar, Sara Zemljič (2013)

Open Mathematics

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Hanoi graphs H pn model the Tower of Hanoi game with p pegs and n discs. Sierpinski graphs S pn arose in investigations of universal topological spaces and have meanwhile been studied extensively. It is proved that S pn embeds as a spanning subgraph into H pn if and only if p is odd or, trivially, if n = 1.