Lower bounds on several versions of signed domination number
β Scribed by Weidong Chen; Enmin Song
- Book ID
- 108113741
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 174 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The k-domination number of a graph is the cardinality of a smallest set of vertices such that every vertex not in the set is adjacent to at least k vertices of the set. We prove two bounds on the k-domination number of a graph, inspired by two conjectures of the computer program Graffiti.pc. In part
A three-valued function f deΓΏned on the vertex set of a graph G = (V; E), f : V β {-1; 0; 1} is a minus dominating function if the sum of its function values over any closed neighborhood is at least one. That is, for every consists of v and all vertices adjacent to v. The weight of a minus function