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PreprintCC BY 4.0arXiv

Complete Determination of the Gallai--van der Waerden Number GW(r;3,3)

Abstract

This paper completely determines the Gallai--van der Waerden number GW(r;3,3) for all integers r≥ 3: GW(3;3,3)=GW(4;3,3)=9, GW(r;3,3)=r (r≥ 5).

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BibTeX
@misc{si2026complete,
  title = {{Complete Determination of the Gallai--van der Waerden Number \(\mathrmGW(r;3,3)\)}},
  author = {Yuan Si},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.30711},
  eprint = {2610.30711},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.30711},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Complete Determination of the Gallai--van der Waerden Number GW(r;3,3)
AU  - Yuan Si
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2610.30711
UR  - https://arxiv.org/abs/2610.30711
AB  - This paper completely determines the Gallai--van der Waerden number GW(r;3,3) for all integers r≥ 3: GW(3;3,3)=GW(4;3,3)=9, GW(r;3,3)=r (r≥ 5).
ER  -