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Multi-dimensional Ramsey theorems — An example

✍ Scribed by Amha Tume Lisan

Publisher
Springer-Verlag
Year
1992
Tongue
English
Weight
110 KB
Volume
12
Category
Article
ISSN
0209-9683

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## Abstract Let __r__~__k__~(__G__) be the __k__‐color Ramsey number of a graph __G__. It is shown that $r\_{k}(C\_{5})\le \sqrt{18^{k}\,k!}$ for __k__⩾2 and that __r__~__k__~(__C__~2__m__+ 1~)⩽(__c__^__k__^__k__!)^1/__m__^ if the Ramsey graphs of __r__~__k__~(__C__~2__m__+ 1~) are not far away fr