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Ramsey Numbers and the Size of Graphs

โœ Scribed by Sudakov, Benny

Book ID
118196963
Publisher
Society for Industrial and Applied Mathematics
Year
2008
Tongue
English
Weight
151 KB
Volume
21
Category
Article
ISSN
0895-4801

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๐Ÿ“œ SIMILAR VOLUMES

Size Ramsey numbers for small-order grap
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โœ R. J. Faudree; J. Sheehan ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 108 KB

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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## 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

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Erd6s. P. and C.C. Rousseau, The size Ramsey number of a complete bipartite graph, Discrete Mathematics 113 (1993) 259-262. In this note we prove that the (diagonal) size Ramsey number of K,,.,, is bounded below by $2'2".