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2-COLOR RADO NUMBER FOR x(1)

Authors
Kim, Byeong MoonHwang, WoonjaeSong, Byung Chul
Issue Date
2020
Publisher
KANGWON-KYUNGKI MATHEMATICAL SOC
Keywords
Rado number; Schur number; Ramsey theory; r-coloring
Citation
KOREAN JOURNAL OF MATHEMATICS, v.28, no.2, pp.379 - 389
Indexed
KCI
Journal Title
KOREAN JOURNAL OF MATHEMATICS
Volume
28
Number
2
Start Page
379
End Page
389
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/59116
DOI
10.11568/kjm.2020.28.2.379
ISSN
1976-8605
Abstract
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(epsilon, 2) for x(1) + x(2) + ... + x(n) = y(1) + y(2) = z when n >= 4.
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