Some bounds for the Ramsey-Paris-Harrington numbers
✍ Scribed by Paul Erdös; George Mills
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 737 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
New upper bounds for the ramsey numbers r ( k , I ) are obtained. In particular it is shown there is a constant A such that The ramsey number r(k, l ) is the smallest integer n, such that any coloring with red and blue of the edges of the complete graph K , of order n yields either a red K , subgra
We show that r(3, n) C(Z) -5 for n 2 13, and r(4, n)So(l') -1 for n 3 12.
## Abstract For any graph __G__, let __i__(__G__) and μ;(__G__) denote the smallest number of vertices in a maximal independent set and maximal clique, respectively. For positive integers __m__ and __n__, the lower Ramsey number __s__(__m, n__) is the largest integer __p__ so that every graph of or
The Ramsey number R(G 1 , G 2 ) is the smallest integer p such that for any graph Some new upper bound formulas are obtained for R(G 1 , G 2 ) and R(m, n), and we derive some new upper bounds for Ramsey numbers here.