发表机构
ELTE Eötvös Loránd University and Alfréd Rényi Institute of Mathematics（匈牙利罗兰大学与阿尔弗雷德·雷尼数学研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文构造了圆上七个点的非拉姆齐图形，反驳了 Erdős 等人的相关猜想。
AI 中文摘要
我们给出了一个圆上七个点的构造，该构造不是拉姆齐的，从而反驳了 Erdős、Graham、Montgomery、Rothschild、Spencer 和 Straus 的一个猜想。
英文摘要
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.
CommentsThis manuscript was written entirely by ChatGPT. I (Dömötör Pálvölgyi) contributed nothing to the proofs or ideas, I only gave suggestions about the presentation. I also wrote some remarks about the proof, which can be found right before the Appendix, which contains further results by ChatGPT that I have not verified
