BILANGAN RADO 2-WARNA UNTUK P mi=1−1 aixi = xm

Authors

  • Dwiprima Elvanny Myori

DOI:

https://doi.org/10.25077/jmu.3.1.63-67.2014

Abstract

Diberikan L yang merepresentasikan persamaan P mi =1− 1 aixi = xm dengan
xi ∈ [1, n], ai, n ∈ Z +. Bilangan Rado R(a 1, a 2, . . . , am − 1 ) adalah bilangan asli terkecil
R(a 1, a 2, . . . , am − 1 ) dengan n ≥ R(a 1, a 2, . . . , am − 1 ) sedemikian sehingga untuk setiap
2-pewarnaan pada [1, n] terdapat suatu solusi monokromatik untuk sistem L. Paper ini
mengkaji kembali bahwa bilangan Rado 2-warna untuk Pmi =1− 1 aixi = xm adalah a(a +
b) 2 + b, dimana xi ∈ [1, n], ai, n ∈ Z +, a = min {a 1, . . . , am − 1}, dan b = Pmi =1− 1 ai − a.

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Published

01-03-2014

Issue

Vol. 3 No. 1 (2014)

Section

Articles

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