An Excursion into Nonlinear Ramsey Theory

作者:Doss Adam; Saracino Dan; Vestal Donald L Jr*
来源:Graphs and Combinatorics, 2013, 29(3): 407-415.
DOI:10.1007/s00373-012-1140-8

摘要

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.

  • 出版日期2013-5

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