A note on cycle Ramsey numbers
β Scribed by Gary Chartrand; Seymour Schuster
- Book ID
- 107748157
- Publisher
- Elsevier Science
- Year
- 1973
- Tongue
- English
- Weight
- 283 KB
- Volume
- 5
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The __book with n pages__ __B__~__n__~ is the graph consisting of __n__ triangles sharing an edge. The __book Ramsey number__ __r__(__B__~__m__~,__B__~__n__~) is the smallest integer __r__ such that either __B__~__m__~βββ__G__ or __B__~__n__~βββ__G__ for every graph __G__ of order __r__
I Retaefltiy, Ramsey numbers have been obtained for several &sses of graphs. In particthey have been studied for hs of low wder, pairs of paths, paks of cycles, and for a . In this paper, th rs atie obtained fair aI3 pa&cycle pairs,
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## Abstract Let __r(k__) denote the least integer __n__βsuch that for any graph __G__ on __n__ vertices either __G__ or its complement G contains a complete graph __K__~k~ on __k__ vertices. in this paper, we prove the following lower bound for the Ramsey number __r(k__) by explicit construction: _