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Ramsey Numbers of Some Bipartite Graphs Versus Complete Graphs

✍ Scribed by Tao Jiang; Michael Salerno


Publisher
Springer Japan
Year
2010
Tongue
English
Weight
147 KB
Volume
27
Category
Article
ISSN
0911-0119

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πŸ“œ SIMILAR VOLUMES


The size Ramsey number of a complete bip
✍ P. Erdo˝s; C.C. Rousseau πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 240 KB

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".

On ramsey numbers of forests versus near
✍ Gary Chartrand; Ronald J. Gould; Albert D. Polimeni πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 269 KB πŸ‘ 1 views

## Abstract A formula is presented for the ramsey number of any forest of order at least 3 versus any graph __G__ of order __n__ β‰₯ 4 having clique number __n__ ‐ 1. In particular, if __T__ is a tree of order __m__ β‰₯ 3, then __r(T, G)__ = 1 + (__m__ ‐ 1)(__n__ ‐ 2).