{"title":"两距离传递法向Cayley图","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":"{\"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}","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}
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.