We calculate some size Ramsey numbers involving stars. For example we prove that for t ~ k w2 ~md n sufficiently large the size Ramsey number r,, (K,,k All graphs in this paper are finite, simple and undirected. Let F, C and H be graphs. The number of vertices and edges of a graph F will be denoted
โฆ LIBER โฆ
Size Ramsey Numbers Involving Large Stars
โ Scribed by Oleg Pikhurko
- Book ID
- 108498136
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 240 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1571-0653
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## 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
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