Exact value of 3 color weak Rado number

DOI10.1016/j.endm.2016.09.042zbMath1356.05014OpenAlexW2536048156MaRDI QIDQ510591

Yong-Cai Geng, Sumit K. Garg

Publication date: 13 February 2017

Full work available at URL: https://doi.org/10.1016/j.endm.2016.09.042

zbMATH Keywords

sum-free setsSchur numbersweak Schur numbersweakly sum-free setsRado numbersweak Rado numbers

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Partitions; congruences and congruential restrictions (11P83) Generalized Ramsey theory (05C55) Ramsey theory (05D10)

Cites Work

• Weak Schur numbers and the search for G. W. Walker's lost partitions
• 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 the $n$-color Rado number for the equation $x_{1}+x_{2}+ \dots +x_{k}+c =x_{k+1}$
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