More Constructive Lower Bounds on Classical Ramsey Numbers
✍ Scribed by Xu, Xiaodong; Shao, Zehui; Radziszowski, StanisŁaw P.
- Book ID
- 118197149
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 2011
- Tongue
- English
- Weight
- 154 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0895-4801
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
New lower bounds for seven classical Ramsey numbers are obtained by considering some circulant graphs G n (A i ) with n ≥ 142 whose orders might be either prime or not. The results are
## 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
## Abstract Graph __G__ is a (__k__, __p__)‐graph if __G__ does not contain a complete graph on __k__ vertices __K__~__k__~, nor an independent set of order __p__. Given a (__k__, __p__)‐graph __G__ and a (__k__, __q__)‐graph __H__, such that __G__ and __H__ contain an induced subgraph isomorphic t