On weighted efficient total domination
โ Scribed by Oliver Schaudt
- Book ID
- 113699048
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 201 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1570-8667
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Given a simple graph G = (V, E), an edge (u, u) E E is said to dominate itself and any edge (u,x) or (u,x), where x E V. A subset D C E is called an efficient edge dominating set of G if all edges in E are dominated by exactly one edge of D. The efficient edge domination problem is to find an effici
For a graph G, let ~'(G), 3,z(G), i(G) and ir(G) denote the domination, total domination, independent domination and irredundance numbers of G, respectively. The following conjectures due to Robyn Dawes are proved: G)<~p and (ii) i(G)+ ~/z(G)~2. It is also shown that (iii) 3,t(G) ~<2ir(G) and (iv) 3