Lower bounds for some Ramsey numbers
โ Scribed by H.L Abbott; E.R Williams
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 145 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract For any graph __G__, let __i__(__G__) and ฮผ;(__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
A new construction of self-complementary graphs containing no Klo or K , is described. This construction gives the Ramsey number lower bounds r(10,lO) 2 458 and r(1 1,l 1 ) 2 542. The problem of determining the Ramsey numbers is known to be very difficult and so we are often satisfied with partial
In this note, we prove that R(5, 5; 4) 2 19. We also compute lower bounds for some higher order numbers.