Double independence and tree pairs in graphs
โ Scribed by Novak, Ladislav A.; Gibbons, Alan
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 671 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0098-9886
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let ฮด, ฮณ, i and ฮฑ be respectively the minimum degree, the domination number, the independent domination number and the independence number of a graph G. The graph G is 3-ฮณ-critical if ฮณ = 3 and the addition of any edge decreases ฮณ by 1. It was conjectured that any connected 3-ฮณ-critical graph satisf
## Abstract We investigate the relationship between projectivity and the structure of maximal independent sets in powers of circular graphs, Kneser graphs and truncated simplices. ยฉ 2002 Wiley Periodicals, Inc. J Graph Theory 40: 162โ171, 2002
It is proved that a graph of order n contains a triangle if |N(X )| > 1 3 (n+|X |) for every independent set X of vertices. This bound is sharp.