In this paper we consider the following parameters: IR(G), the upper irredundance number, which is the order of the largest maximal irredundant set, I'(G), the upper domination number, which is the order of the largest minimal dominating set and /3(G), the independence number, which is the order of
Independence and upper irredundance in claw-free graphs
โ Scribed by Odile Favaron
- Book ID
- 104294292
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 317 KB
- Volume
- 132
- Category
- Article
- ISSN
- 0166-218X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let /~(G), F(G) and IR(G) be the independence number, the upper domination number and the upper irredundance number, respectively. A graph G is called In this paper, we present a characterization of F-perfect graphs in terms of a family of forbidden induced subgraphs, and show that the class of F-p
## Abstract A set __S__ of vertices in a graph __G__ is a total dominating set of __G__ if every vertex of __G__ is adjacent to some vertex in __S__ (other than itself). The maximum cardinality of a minimal total dominating set of __G__ is the upper total domination number of __G__, denoted by ฮ~__