## Abstract A graph __G__ is coβconnected if both __G__ and its complement __αΈ __ are connected and nontrivial. For two graphs __A__ and __B__, the connected Ramsey number __r__~c~(__A, B__) is the smallest integer __n__ such that there exists a coβconnected graph of order __n__, and if __G__ is a c
Some small ramsey numbers
β Scribed by M. Clancy
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 82 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
In previous work, the Ramsey numbers have been evaluated for all pairs of graphs with at most four points. In the present note, Ramsey numbers are tabulated for pairs F~1~, F~2~ of graphs where F~1~ has at most four points and F~2~ has exactly five points. Exact results are listed for almost all of these pairs.
π SIMILAR VOLUMES
## Abstract Let __R__(__G__) denote the minimum integer __N__ such that for every bicoloring of the edges of __K~N~__, at least one of the monochromatic subgraphs contains __G__ as a subgraph. We show that for every positive integer __d__ and each Ξ³,0β<βΞ³β<β1, there exists __k__β=β__k__(__d__,Ξ³) su
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