It is shown that if G and H are arbitrary fixed graphs and n is sufficiently large, then Also, we prove that r ( K 1 +F, K,) 5 (m+o(l))&(n -+ GO) for any forest Fwhose largest component has m edges. Thus r(Fe, K,) 5 (1 + o(l))&, where Fe = K1 + CK2. We conjecture that r(Fe, K,) -&(n + cm).
Tree-complete graph ramsey numbers
✍ Scribed by V. Chvátal
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 50 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The ramsey number of any tree of order m and the complete graph of order n is 1 + (m − 1)(n − 1).
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