Some Two Color, Four Variable Rado Numbers

Details Some Two Color, Four Variable Rado Numbers Some Two Color, Four Variable Rado Numbers

2007-06-29

arxiv.org/abs/0706.4417v1

Mathematics

Combinatorics

13 pages

Scientific paper

There exists a minimum integer $N$ such that any 2-coloring of $\{1,2,...,N\}$ admits a monochromatic solution to $x+y+kz =\ell w$ for $k,\ell \in \mathbb{Z}^+$, where $N$ depends on $k$ and $\ell$. We determine $N$ when $\ell-k \in \{0,1,2,3,4,5\}$, for all $k,\ell$ for which ${1/2}((\ell-k)^2-2)(\ell-k+1)\leq k \leq \ell-4$, as well as for arbitrary $k$ when $\ell=2$.

Affiliated with

Also associated with

No associations

Rating

Some Two Color, Four Variable Rado Numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some Two Color, Four Variable Rado Numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some Two Color, Four Variable Rado Numbers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-681918