An improvement on Vizingʼs conjecture
✍ Scribed by Wu, Yunjian
- Book ID
- 119262896
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 111 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0020-0190
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract In this paper we introduce the concept of fair reception of a graph which is related to its domination number. We prove that all graphs __G__ with a fair reception of size γ(__G__) satisfy Vizing's conjecture on the domination number of Cartesian product graphs, by which we extend the w
In 1963, Vizing [Vichysl. Sistemy 9 (19631, 30-431 conjectured that y ( G X H) 2 y ( G ) y ( H ) , where G X Hdenotes the Cartesian product of graphs, and y(G) is the domination number. In this paper we define the extraction number x(G) and w e prove that ## M G ) 5 x(G) 5 y(G), and y ( G x H) 2 x