Unique irredundance, domination and independent domination in graphs
โ Scribed by Miranca Fischermann; Lutz Volkmann; Igor Zverovich
- Book ID
- 108113562
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 199 KB
- Volume
- 305
- Category
- Article
- ISSN
- 0012-365X
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 vertex __x__ in a subset __X__ of vertices of an undericted graph is __redundant__ if its closed neighbourhood is contained in the union of closed neighborhoods of vertices of __X__ โ {__x__}. In the context of a communications network, this means that any vertex that may receive comm
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
We show that for each k L 4 there exists a connected k-domination critical graph with independent domination number exceeding k, thus disproving a conjecture of Sumner and Blitch ( J Cornbinatorial Theory B 34 (19831, 65-76) in all cases except k = 3.