{"title":"广义西顿集合的拉姆齐型问题","authors":"Vojtěch Rödl, Christian Reiher, Mathias Schacht","doi":"arxiv-2409.04809","DOIUrl":null,"url":null,"abstract":"We establish the existence of generalised Sidon sets enjoying additional\nRamsey-type properties, which are motivated by questions of Erd\\H{o}s and\nNewman and of Alon and Erd\\H{o}s.","PeriodicalId":501064,"journal":{"name":"arXiv - MATH - Number Theory","volume":"408 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Ramsey-type problems for generalised Sidon sets\",\"authors\":\"Vojtěch Rödl, Christian Reiher, Mathias Schacht\",\"doi\":\"arxiv-2409.04809\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We establish the existence of generalised Sidon sets enjoying additional\\nRamsey-type properties, which are motivated by questions of Erd\\\\H{o}s and\\nNewman and of Alon and Erd\\\\H{o}s.\",\"PeriodicalId\":501064,\"journal\":{\"name\":\"arXiv - MATH - Number Theory\",\"volume\":\"408 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Number Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.04809\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Number Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.04809","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We establish the existence of generalised Sidon sets enjoying additional
Ramsey-type properties, which are motivated by questions of Erd\H{o}s and
Newman and of Alon and Erd\H{o}s.
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