{"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}
引用次数: 0
Abstract
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.