## Abstract The irredundant Ramsey number __s__(__m, n__) is the smallest __p__ such that for every graph __G__ with __p__ vertices, either __G__ contains an __n__βelement irredundant set or its complement __G__ contains an __m__βelement irredundant set. Cockayne, Hattingh, and Mynhardt have given
β¦ LIBER β¦
The value of the Ramsey number r(3, 8)
β Scribed by Brendan D. McKay; Zhang Ke Min
- Publisher
- John Wiley and Sons
- Year
- 1992
- Tongue
- English
- Weight
- 361 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
The Ramsey number R(3, 8) can be defined as the least number n such that every graph on n vertices contains either a triangle or an independent set of size 8. With the help of a substantial amount of computation, we prove that R(3, 8)=28.
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