Minus domination in graphs
β Scribed by Jean Dunbar; Stephen Hedetniemi; Michael A. Henning; Alice McRae
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 787 KB
- Volume
- 199
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
An e cient minus (respectively, signed) dominating function of a graph G = (V; E) is a function f : The e cient minus (respectively, signed) domination problem is to ΓΏnd an e cient minus (respectively, signed) dominating function of G. In this paper, we show that the e cient minus (respectively, si
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