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Size Ramsey Numbers and Integer Programming

โœ Scribed by Oleg Pikhurko


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
190 KB
Volume
10
Category
Article
ISSN
1571-0653

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๐Ÿ“œ SIMILAR VOLUMES


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โœ R.J. Faudree; J. Sheehan ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 302 KB

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

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A table of the size Ramsey number or the restricted size Rarnsey number for all pairs of graphs with at most four vertices and no isolated vertices is given. Let F, G, and H be finite, simple, and undirected graphs. The number of vertices and edges of a graph F are denoted byp(F) and q(F), respecti

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We present a recursive algorithm for finding good lower bounds for the classical Ramsey numbers. Using notions from this algorithm we then give some results for generalized Schur numbers, which we call Issai numbers.

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โœ Oleg Pikhurko ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 124 KB ๐Ÿ‘ 1 views

## Abstract We investigate the asymptotics of the size Ramsey number __รฎ__(__K__~1,__n__~__F__), where __K__~1,__n__~ is the __n__โ€star 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