Upper total domination versus upper paired-domination
โ Scribed by Dorbec, Paul; Henning, Michael; McCoy, John
- Book ID
- 118172365
- Publisher
- Taylor and Francis Group
- Year
- 2007
- Tongue
- English
- Weight
- 213 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1607-3606
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A set S of vertices in a graph G is a paired-dominating set of G if every vertex of G is adjacent to some vertex in S and the subgraph induced by S contains a perfect matching. The minimum cardinality of a paired-dominating set of G is the paireddomination number of G, denoted by ฮณ pr (G). In this w
## 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~__
Let G = (V; E) be an undirected graph. Upper total domination number t (G) is the maximum cardinality over all minimal total dominating sets of G, and upper fractional total domination number t (G) is the maximum weight over all minimal total dominating functions of G. In this paper we show that: (1
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