## Abstract We investigate the asymptotics of the size Ramsey number __รฎ__(__K__~1,__n__~__F__), where __K__~1,__n__~ is the __n__โstar and __F__ is a fixed graph. The author 11 has recently proved that __rฬ__(__K__~1,n~,__F__)=(1+__o__(1))__n__^2^ for any __F__ with chromatic number ฯ(__F__)=3. He
Mixed ramsey numbers: Chromatic numbers versus graphs
โ Scribed by James M. Benedict; Gary Chartrand; Don R. Lick
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 399 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper studies circular chromatic numbers and fractional chromatic numbers of distance graphs G(Z , D) for various distance sets D. In particular, we determine these numbers for those D sets of size two, for some special D sets of size three, for
## Abstract Given two graphs __G__ and __H__, let __f__(__G__,__H__) denote the minimum integer __n__ such that in every coloring of the edges of __K__~__n__~, there is either a copy of __G__ with all edges having the same color or a copy of __H__ with all edges having different colors. We show tha
We investigate the relation between the multichromatic number (discussed by Stahl and by Hilton, Rado and Scott) and the star chromatic number (introduced by Vince) of a graph. Denoting these by ฯ \* and ฮท \* , the work of the above authors shows that ฯ \* (G) = ฮท \* (G) if G is bipartite, an odd cy