Strong and Weak Domination, Full Sets and Domination Balance in Semigraphs
β Scribed by S.S. Kamath; Saroja R. Hebbar
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 86 KB
- Volume
- 15
- Category
- Article
- ISSN
- 1571-0653
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract In this paper, we show that a Cayley graph for an abelian group has an independent perfect domination set if and only if it is a covering graph of a complete graph. As an application, we show that the hypercube __Q~n~__ has an independent perfect domination set if and only if __Q~n~__ i
Suppose G is a graph on n vertices with minimum degree r. Using standard random methods it is shown that there exists a two-coloring of the vertices of G with colors, +1 and &1, such that all closed neighborhoods contain more 1's than &1's, and all together the number of 1's does not exceed the numb