{"title":"Two-distance transitive normal Cayley graphs","authors":"Junzhi Huang, Yan-Quan Feng, Jin-Xin Zhou","doi":"10.26493/1855-3974.2593.1B7","DOIUrl":null,"url":null,"abstract":"In this paper, we construct an infinite family of normal Cayley graphs, which are 2 -distance-transitive but neither distance-transitive nor 2 -arc-transitive. This answers a question proposed by Chen, Jin and Li in 2019.","PeriodicalId":8402,"journal":{"name":"Ars Math. Contemp.","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Math. Contemp.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/1855-3974.2593.1B7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, we construct an infinite family of normal Cayley graphs, which are 2 -distance-transitive but neither distance-transitive nor 2 -arc-transitive. This answers a question proposed by Chen, Jin and Li in 2019.