Two formulas of 2-color off-diagonal Rado numbers

DOI10.1007/S00373-013-1378-9zbMath1308.05101OpenAlexW2060854827MaRDI QIDQ489366

Ernest X. W. Xia, Olivia X. M. Yao

Publication date: 20 January 2015

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

Full work available at URL: https://doi.org/10.1007/s00373-013-1378-9

zbMATH Keywords

off-diagonal Rado numberRado numberSchur number

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Generalized Ramsey theory (05C55) Ramsey theory (05D10)

Related Items (1)

Monochromatic strictly ascending waves and permutation pattern waves

Uses Software

• RON

Cites Work

• Some two color, four variable Rado numbers
• Two color off-diagonal Rado-type numbers
• All two-color Rado numbers for \(a(x+y)=bz\)
• Rado numbers for \(a(x+y)bz\)
• A 2-coloring of \([1, N\) can have \((1/22) N^2+O(N)\) monochromatic Schur triples, but not less]
• On a variation of Schur numbers
• Difference Ramsey numbers and Issai numbers
• Rado numbers for the equation \(\sum_{i=1}^{m-1} x_i + c = x_m\), for negative values of \(c\)
• Two-color Rado numbers for \(x+y+c=kz\)
• Studien zur Kombinatorik
• 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
• Note on Combinatorial Analysis
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