Total domination in block graphs
โ Scribed by Gerard J Chang
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 382 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0167-6377
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## 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~__
A set S of vertices of a graph G is a total dominating set, if every vertex of V (G) is adjacent to some vertex in S. The total domination number of G, denoted by ฮณ t (G), is the minimum cardinality of a total dominating set of G. We prove that, if G is a graph of order n with minimum degree at leas