Let 7(G) be the domination number of a graph G, and let G ×H be the direct product of graphs G and H. It is shown that for any k t> 0 there exists a graph G such that 7(G × G) ~< 7(G) 2 -k. This in particular disproves a conjecture from .
Behzad-Vizing conjecture and Cartesian-product graphs
✍ Scribed by B. Zmazek; J. Ẑerovnik
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 308 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0893-9659
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