New proofs for the disjunctive Rado number of the equations \(x_1-x_2=a\) and \(x_1-x_2=b\)

DOI10.1007/S00373-021-02400-YzbMath1484.05140OpenAlexW4210291968WikidataQ113905209 ScholiaQ113905209MaRDI QIDQ2115151

Yanyan Li

Publication date: 15 March 2022

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-021-02400-y

zbMATH Keywords

2-coloringmonochromatic solutionvalid coloringdisjunctive Rado number

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Ramsey theory (05D10)

Cites Work

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• All two-color Rado numbers for \(a(x+y)=bz\)
• Rado numbers for \(a(x+y)bz\)
• A note on disjunctive Rado numbers.
• Rado numbers for the equation \(\sum_{i=1}^{m-1} x_i + c = x_m\), for negative values of \(c\)
• The two-colour Rado number for the equation \(ax+by=(a+b)_z\)
• Determination of the two-color Rado number for \(a_{1}x_{1}+\cdots +a_m x_m=x_{0}\)
• On Rado numbers for \(\Sigma^{m-1}_{i=1} a_{i}x_{i}= x_{m}\)
• Disjunctive Rado numbers

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