Some Two Color, Four Variable Rado Numbers
| dc.creator | Robertson, Aaron | |
| dc.creator | Myers, Kellen | |
| dc.date | 2007-06-29 | |
| dc.date.accessioned | 2026-07-07T08:13:09Z | |
| dc.date.available | 2026-07-07T08:13:09Z | |
| dc.description | 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 $\ell=2$. | |
| dc.description | 13 pages | |
| dc.identifier | https://arxiv.org/abs/0706.4417 | |
| dc.identifier | http://arxiv.org/abs/0706.4417 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/132698 | |
| dc.subject | Combinatorics | |
| dc.subject | 05D10 | |
| dc.title | Some Two Color, Four Variable Rado Numbers | |
| dc.type | text |