On Bipartite Graphs with Linear Ramsey Numbers
✍ Scribed by R. L. Graham; V. Rödl; A. Ruciński
- Publisher
- Springer-Verlag
- Year
- 2001
- Tongue
- English
- Weight
- 201 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0209-9683
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract It is shown that the Ramsey number of any graph with __n__ vertices in which no two vertices of degree at least 3 are adjacent is at most 12__n__. In particular, the above estimate holds for the Ramsey number of any __n__‐vertex subdivision of an arbitrary graph, provided each edge of t
## Abstract The Ramsey number __R__(__G__~1~,__G__~2~) of two graphs __G__~1~ and __G__~2~ is the least integer __p__ so that either a graph __G__ of order __p__ contains a copy of __G__~1~ or its complement __G__^c^ contains a copy of __G__~2~. In 1973, Burr and Erdős offered a total of $25 for se
For a positive integer n and graph E, fs(n) is the least integer m such that any graph of order n and minimal degree m has a copy of B. It will be show that if B is a bipartite graph with parts of order k and 1 (k G I), then there exists a positive constant c, such that for any tree T,, of order II