• Title/Summary/Keyword: Rado number

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2-COLOR RADO NUMBER FOR x1 + x2 + ⋯ + xn = y1 + y2 = z

  • Kim, Byeong Moon;Hwang, Woonjae;Song, Byung Chul
    • Korean Journal of Mathematics
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    • v.28 no.2
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    • pp.379-389
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    • 2020

  • An r-color Rado number N = R(𝓛, r) for a system 𝓛 of equations is the least integer, provided it exists, such that for every r-coloring of the set {1, 2, …, N}, there is a monochromatic solution to 𝓛. In this paper, we study the 2-color Rado number R(𝓔, 2) for 𝓔 : x1 + x2 + ⋯ + xn = y1 + y2 = z when n ≥ 4.

  • https://doi.org/10.11568/kjm.2020.28.2.379 인용 PDF KSCI