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
β¦ LIBER β¦
Bounds on the connected -domination number in graphs
β 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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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