Upper Bound on the Diameter of a Domination Dot-Critical Graph
β Scribed by Michitaka Furuya, Masanori Takatou
- Book ID
- 118783115
- Publisher
- Springer Japan
- Year
- 2011
- Tongue
- English
- Weight
- 182 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract A graph is __k__βdominationβcritical if Ξ³(__G) = k__, and for any edge __e__ not in __G__, Ξ³(__G + e) = k__ β 1. In this paper we show that the diameter of a domination __k__βcritical graph with __k__ β§ 2 is at most 2__k__ β 2. We also show that for every __k__ β§ 2, there is a __k__βdom
The kdomination number of a graph G, y k ( G ) , is the least cardinality of a set U of verticies such that any other vertex is adjacent to at least k vertices of U. We prove that if each vertex has degree at least k. then YAG) 5 kp/(k + 1).