Paired-Domination Subdivision Numbers of Graphs
โ Scribed by O. Favaron; H. Karami; S. M. Sheikholeslami
- Publisher
- Springer Japan
- Year
- 2009
- Tongue
- English
- Weight
- 153 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In a graph G ร (V, E) if we think of each vertex s as the possible location for a guard capable of protecting each vertex in its closed neighborhood N[s], then ''domination'' requires every vertex to be protected. Thus, S ส V (G) is a dominating set if ส s โ S N[s] ร V (G). For total domination, eac
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