Marcelo Campos, Maurício Collares, Guilherme Oliveira Mota
{"title":"Counting orientations of random graphs with no directed <i>k</i>‐cycles","authors":"Marcelo Campos, Maurício Collares, Guilherme Oliveira Mota","doi":"10.1002/rsa.21196","DOIUrl":null,"url":null,"abstract":"Abstract For every , we determine the order of growth, up to polylogarithmic factors, of the number of orientations of the binomial random graph containing no directed cycle of length . This solves a conjecture of Kohayakawa, Morris and the last two authors.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1002/rsa.21196","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
Abstract For every , we determine the order of growth, up to polylogarithmic factors, of the number of orientations of the binomial random graph containing no directed cycle of length . This solves a conjecture of Kohayakawa, Morris and the last two authors.