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PreprintCC BY 4.0arXiv

A cyclic non-Ramsey heptagon

Abstract

We present a construction with seven points on a circle that is not Ramsey, disproving a conjecture of Erdős, Graham, Montgomery, Rothschild, Spencer and Straus.

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BibTeX
@misc{palvolgyi2026cyclic,
  title = {{A cyclic non-Ramsey heptagon}},
  author = {Dömötör Pálvölgyi},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.23327},
  eprint = {2609.23327},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.23327},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A cyclic non-Ramsey heptagon
AU  - Dömötör Pálvölgyi
PY  - 2026
DA  - 2026/09/20
PB  - arXiv
DO  - 10.48550/arxiv.2609.23327
UR  - https://arxiv.org/abs/2609.23327
AB  - We present a construction with seven points on a circle that is not Ramsey, disproving a conjecture of Erdős, Graham, Montgomery, Rothschild, Spencer and Straus.
ER  -