On connected k-domination numbers of graphs
โ Scribed by Shougui Li
- Book ID
- 108315904
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 204 KB
- Volume
- 274
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
The problem of determining the domination number of a graph is a well known NPhard problem, even when restricted to planar graphs. By adding a further restriction on the diameter of the graph, we prove that planar graphs with diameter two and three have bounded domination numbers. This implies that
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