Ramsey's Theorem for a Class of Categories
โ 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
- DOI
- 10.2307/60994
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
## 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