Disproof of a Conjecture on the Subdivision Domination Number of a Graph
β Scribed by O. Favaron; H. Karami; S. M. Sheikholeslami
- Publisher
- Springer Japan
- Year
- 2008
- Tongue
- English
- Weight
- 93 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For r > 0, let the r-domination number of a graph, d,, be the size of a smallest set of vertices such that every vertex of the graph is within distance r of a vertex in that set. This paper contains proofs that every graph with a spanning tree with at least n/2 leaves has d, s n/(2r); this compares
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