Open Problem Garden - Diagonal Ramsey numbers - Comments

diagonal Ramsey numbers (re: Diagonal Ramsey numbers)

Anonymous — Mon, 13 Sep 2010 16:03:54 +0200

Hi, My name is steve waterman.

re - diagonal Ramsey numbers

I have no proof of my conjectured formulas. However, the results are within the limits established in ALL cases. There is also a logic to these numbers as you will see.

http://www.watermanpolyhedron.com/RAMSEY.html

It is my belief that these values are indeed exact...that is, no bounds required, and thus an answer to this riddle - and as I also see it....only to be proven later. It is a big claim no doubt. I doubt that I will ever see a counter-example nor a single proof of say R(5,5) as long as I live. Lastly, knowing that these MAY INDEED BE the correct values...give us a chance to zero in upon these numbers specifically.

steve

Upper bound (re: Diagonal Ramsey numbers)

Anonymous — Mon, 09 Jul 2007 17:02:25 +0200

The upper bound has been improved by David Conlon (to appear in Annals)

Diagonal Ramsey numbers

mdevos — Mon, 04 Jun 2007 09:42:04 +0200

Author(s): Erdos

Subject: Combinatorics » Ramsey Theory

Let denote the diagonal Ramsey number.

Conjecture exists.

Problem Determine the limit in the above conjecture (assuming it exists).