Minus k-subdomination in graphs II
β Scribed by Johannes H. Hattingh; Elna Ungerer
- Book ID
- 104113626
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 551 KB
- Volume
- 171
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let G = (V,E) be a graph and k E Z + such that 1 ~<
The
k-subdomination number to {-1,0, 1} of a graph G, denoted by 7~lΒ°l(G), equals the minimum weight of a kSF of G. In this paper we give a sharp lower bound for 7~ lΒ°~ for trees and calculate 7~ ~Β°1 for an arbitrary cycle.
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