Complete Determination of the Gallai--van der Waerden Number $\mathrm{GW}(r;3,3)$

Yuan Si

Source record

Source: arXiv

Published: Oct 22, 2026

arXiv: 2610.30711

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Source abstract

This paper completely determines the Gallai--van der Waerden number $\mathrm{GW}(r;3,3)$ for all integers $r\ge 3$ : $\mathrm{GW}(3;3,3)=\mathrm{GW}(4;3,3)=9,\qquad \mathrm{GW}(r;3,3)=r\quad (r\ge 5).$

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Complete Determination of the Gallai--van der Waerden Number $\mathrm{GW}(r;3,3)$ — Mathematical Frontier Network