𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Remarks on a paper of Hirschfeld concerning Ramsey numbers

✍ Scribed by H.L. Abbott; A. Liu


Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
200 KB
Volume
39
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


It is shown that a construction of Hirschfeld, which yields lower bound:; for a. certain class of Ramsey numbers, may be combined with a construction of ErdSs, Hajnal and Rado, so as to obtain better bounds.


πŸ“œ SIMILAR VOLUMES


On a generalization of Ramsey numbers
✍ Paul ErdΓΆs; Patrik E. O'neil πŸ“‚ Article πŸ“… 1973 πŸ› Elsevier Science 🌐 English βš– 685 KB

## Given the integers I, , k, , I, , k, , r , which satisfy the condition I,, I, >r> k,, k, > 0, we define m = N(Z,, k,;l,, k,;r) as the smallest integer with the following property: ifS is a set containing IS? points and the r-subsets of S are partitioned arbitrarily into two class~:s,

Proof of a conjecture on fractional Rams
✍ Jason Brown; Richard Hoshino πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 144 KB πŸ‘ 1 views

## Abstract Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function __r__~__f__~ (__a__~1~, __a__~2~, …, __a__~__k__~) as an extension of the classical definition for Ramsey numbers. They determined an exact formula for the fractional Ramsey function for the case __k__=2. In this

Remarks on a Paper of Wagner
✍ Soon-Mo Jung; Bodo Volkmann πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 350 KB

If g and h are integers greater than 1, a ring W R is called a Wagner ring of type ( g; h) if all x # W "[0] are normal to base g but non-normal to base h. The existence of such rings was shown in 1989 by Wagner for the case when g is a proper odd prime divisor of h with ( g, (hΓ‚g))=1. This result i

Remarks on a paper of Procesi
✍ R.E Johnson πŸ“‚ Article πŸ“… 1965 πŸ› Elsevier Science 🌐 English βš– 194 KB
Remarks on a paper of Taussky
✍ Raymond Redheffer πŸ“‚ Article πŸ“… 1965 πŸ› Elsevier Science 🌐 English βš– 253 KB
On a Problem of Schweiger Concerning Nor
✍ Cor Kraaikamp; Hitoshi Nakada πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 111 KB

Let T and S be two number theoretical transformations on the n-dimensional unit cube B, and write TtS if there exist positive integers m and n such that T m =S n . F. Schweiger showed in [1969, J. Number Theory 1, 390 397] that TtS implies that every T-normal number x is S-normal. Furthermore, he co