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Bounds on the connected -domination number in graphs

✍ Scribed by Adriana Hansberg


Book ID
108112884
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
234 KB
Volume
158
Category
Article
ISSN
0166-218X

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A weakly connected dominating set for a connected graph is a dominating set D of vertices of the graph such that the edges not incident to any vertex in D do not separate the graph. This paper considers the weakly connected domination number, 7w, and related domination parameters. It is shown that t

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The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove two bounds on the k-domination number of a graph, inspired by two conjectures of the computer program Graffiti.pc. In part