On the independence number of graphs with maximum degree 3
β Scribed by Kanj, Iyad; Zhang, Fenghui
- Book ID
- 122729020
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 1019 KB
- Volume
- 478
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove a new upper bound on the independent domination number of graphs in terms of the number of vertices and the minimum degree. This bound is slightly better than that of Haviland (1991) and settles the case 6 = 2 of the corresponding conjecture by Favaron (1988). @ 1998 Elsevier Science B.V. A
For graphs G and H we write G wΓ ind H if every 2-edge colouring of G yields an induced monochromatic copy of H. The induced Ramsey number for H is defined as r ind (H)=min[ |V(G)|: G wΓ ind H]. We show that for every d 1 there exists an absolute constant c d such that r ind (H n, d ) n cd for every