Restrained Domination in Claw-Free Graphs with Minimum Degree at Least Two
β Scribed by Johannes H. Hattingh; Ernst J. Joubert
- Publisher
- Springer Japan
- Year
- 2009
- Tongue
- English
- Weight
- 233 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
The domination number y ( G ) of a graph G = (V E ) is the minimum cardinality of a subset of Vsuch that every vertex is either in the set or is adjacent to some vertex in the set. We show that if a connected graph G has minimum2degree two and is not one of seven exceptional graphs, then y ( g ) I ~
A dominating set for a graph G = (V, E) is a subset of vertices V β V such that for all v β V -V there exists some u β V for which {v, u} β E. The domination number of G is the size of its smallest dominating set(s). We show that for almost all connected graphs with minimum degree at least 2 and q e