A note on the domination dot-critical graphs
โ Scribed by Xue-gang Chen; Wai Chee Shiu
- Book ID
- 108112835
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 291 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract A graph __G__ is domination perfect if for each induced subgraph __H__ of __G__, ฮณ(__H__) = __i__(__H__), where ฮณ and __i__ are a graph's domination number and independent domination number, respectively. Zverovich and Zverovich [3] offered a finite forbidden induced characterization of
Sumner and Blitch defined a graph G to be k-y-critical if 7(G) = k and 7(G + uv) = k -1 for each pair u, v of nonadjacent vertices of G. We define a graph to be k-( 7,d)-critical if 7(G) = k and 7(G + uv) = k -I for each pair u, v of nonadjacent vertices of G that are at distance at most d apart. Th
A Roman dominating function of a graph G is a function f : V โ {0, 1, 2} such that every vertex with 0 has a neighbor with 2. The minimum of f (V (G)) = vโV f (v) over all such functions is called the Roman domination number ฮณ R (G). A 2-rainbow dominating function of a graph G is a function g that