𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The polarized Ramsey’s theorem

✍ Scribed by Damir D. Dzhafarov; Jeffry L. Hirst


Book ID
105842320
Publisher
Springer
Year
2008
Tongue
English
Weight
297 KB
Volume
48
Category
Article
ISSN
0933-5846

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Two remarks on Ramsey's theorem
✍ Jaroslav Nes̆etr̆il; Vojtĕch Rödl 📂 Article 📅 1985 🏛 Elsevier Science 🌐 English ⚖ 131 KB

We present a very simple proof of the fact (due to P. Erd~s and R. Rado) that Ram~ey's theorem doesn't hold for partitions of infinite subsets. We also present a proof of an induced Ramsey theorem for partitions of complete subgraphs (due to W. Deuber and authors) based on the theorem of R. Graham a

A conjecture concerning Ramsey's theorem
✍ Martin Erickson 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 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