Maximal Trees with Bounded Maximum Degree in a Graph
β Scribed by Noga Alon; Mario Szegedy
- Publisher
- Springer Japan
- Year
- 1998
- Tongue
- English
- Weight
- 123 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Truszczydski, M., Decompositions of graphs into forests with bounded maximum degree, Discrete Mathematics 98 (1991) 207-222.
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
## Abstract The number of independent vertex subsets is a graph parameter that is, apart from its purely mathematical importance, of interest in mathematical chemistry. In particular, the problem of maximizing or minimizing the number of independent vertex subsets within a given class of graphs has