## Given the integers I, , k, , I, , k, , r , which satisfy the condition I,, I, >r> k,, k, > 0, we define m = N(Z,, k,;l,, k,;r) as the smallest integer with the following property: ifS is a set containing IS? points and the r-subsets of S are partitioned arbitrarily into two class~:s,
Remarks on a paper of Hirschfeld concerning Ramsey numbers
β Scribed by H.L. Abbott; A. Liu
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 200 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
It is shown that a construction of Hirschfeld, which yields lower bound:; for a. certain class of Ramsey numbers, may be combined with a construction of ErdSs, Hajnal and Rado, so as to obtain better bounds.
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