Independent domination in chordal graphs
โ Scribed by Martin Farber
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 460 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
A chordal graph has a dominating clique iff it has diameter at most 3. A strongly chordal graph which has a dominating clique has one as small as the smallest dominating set-and, furthermore, there is a linear-time algorithm to find such a small dominating clique.
Let G be a simple graph of order n. The independent domination number i(G) is defined to be the minimum cardinality among all maximal independent sets of vertices of G. Motivated by work of Cockayne et al. (1991) and Cockayne and Mynhardt (1989), we investigate the maximum value of the product of th