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Ramsey's Theorem for a Class of Categories

โœ Scribed by R. L. Graham, K. Leeb and B. L. Rothschild


Book ID
123650494
Publisher
National Academy of Sciences
Year
1972
Tongue
English
Weight
299 KB
Volume
69
Category
Article
ISSN
0027-8424

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๐Ÿ“œ SIMILAR VOLUMES


Ramsey's theorem for a class of categori
โœ R.L Graham; K Leeb; B.L Rothschild ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 801 KB
A lower bound for Ramsey's theorem
โœ Joram Hirschfeld ๐Ÿ“‚ Article ๐Ÿ“… 1980 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 291 KB

For every integer tz we denote by n the set {O, 1, . . . , n -1). We denote by En]" the collection of subsets of with exactly k elements. We call the elements of [n]" k-tuples and write thein dlown as (a,, . . . , a,) in the natural order: a, < a, c l . l < ak < n. A colouting 04 [nlk by r colours i

A randomized version of Ramsey's theorem
โœ Luca Gugelmann; Yury Person; Angelika Steger; Henning Thomas ๐Ÿ“‚ Article ๐Ÿ“… 2012 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 185 KB
The Independence of Ramsey's Theorem
โœ E. M. Kleinberg ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Association for Symbolic Logic ๐ŸŒ English โš– 242 KB
A conjecture concerning Ramsey's theorem
โœ Martin Erickson ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 204 KB

## P(c, m). If the edges of a countable injinite complete graph G are exactly c-colored, then there exists a countable infinite complete subgraph H of G whose edges are exactly m-colored. The purpose of this note is to inquire as to which pairs c, m of positive integers make P(c, m) a true stateme