|
|||||
|
|
An Excursion into Nonlinear Ramsey Theory |
|
| Authors: | Adam Doss Dan Saracino Donald L Vestal Jr |
| Institution: | 1. Epic Systems Corporation, Verona, WI, 53593, USA 2. Department of Mathematics, Colgate University, Hamilton, NY, 13346, USA 3. Department of Mathematics and Statistics, South Dakota State University, Brookings, SD, 57007, USA |
| Abstract: | Formulas for two-color Rado numbers have been established for many families of linear equations. However, there are no explicit formulas for two-color Rado numbers for any nonlinear equations. In this paper, we will establish formulas for the two-color Rado numbers for three families of equations: x + y n = z, x + y 2 + c = z, and x + y 2 = az , where c and a are positive integers. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |