Restricted domination parameters in graphs
β Scribed by Wayne Goddard; Michael A. Henning
- Publisher
- Springer US
- Year
- 2006
- Tongue
- English
- Weight
- 249 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1382-6905
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The graph-theoretic study of combinatorial chessboard problems can be extended to the study of line graphs of graphs of combinatorial designs. In particular, the determination of optimal placements of rooks on a chessboard corresponds to the determination of domination parameters of graphs of block
This paper generalizes dominating and efficient dominating sets of a graph. Let G be a graph with vertex set V(G). If f: V(G) ~ Y, where Y is a subset of the reals, the weight off is the sum of f(v) over all ve V(G). If the closed neighborhood sum off(v) at every vertex is at least 1, thenfis called
In a graph G Γ (V, E) if we think of each vertex s as the possible location for a guard capable of protecting each vertex in its closed neighborhood N[s], then ''domination'' requires every vertex to be protected. Thus, S Κ V (G) is a dominating set if Κ s β S N[s] Γ V (G). For total domination, eac
## Abstract Let __G__ = (__V, E__) be a connected graph. A set __D__ β __V__ is a __setβdominating set__ (sdβset) if for every set __T__ β __V__ β __D__, there exists a nonempty set __S__ β __D__ such that the subgraph γ__S__ βͺ __T__γ induced by __S__ βͺ __T__ is connected. The setβdomination number