Lower bounds on the signed domination numbers of directed graphs
β Scribed by H. Karami; S.M. Sheikholeslami; Abdollah Khodkar
- Book ID
- 108114022
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 340 KB
- Volume
- 309
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
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
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