{"title":"Andrasfai图的自同构群","authors":"S. Mirafzal","doi":"10.47443/dml.2022.016","DOIUrl":null,"url":null,"abstract":"c © 2022 the author. This is an open access article under the CC BY (International 4.0) license (www.creativecommons.org/licenses/by/4.0/). Abstract For n = 3k−1, denote by Zn the additive group of integers modulo n, where k is an integer greater than 1. Let C be the subset of Zn consisting of the elements congruent to 1 modulo 3. The Andrásfai graph And(k) is the Cayley graph Cay(Zn;C). In this note, it is shown that the automorphism group of the graph And(k) is isomorphic to the dihedral group of order 2n.","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2022-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"The automorphism group of the Andrasfai graph\",\"authors\":\"S. Mirafzal\",\"doi\":\"10.47443/dml.2022.016\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"c © 2022 the author. This is an open access article under the CC BY (International 4.0) license (www.creativecommons.org/licenses/by/4.0/). Abstract For n = 3k−1, denote by Zn the additive group of integers modulo n, where k is an integer greater than 1. Let C be the subset of Zn consisting of the elements congruent to 1 modulo 3. The Andrásfai graph And(k) is the Cayley graph Cay(Zn;C). In this note, it is shown that the automorphism group of the graph And(k) is isomorphic to the dihedral group of order 2n.\",\"PeriodicalId\":36023,\"journal\":{\"name\":\"Discrete Mathematics Letters\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/dml.2022.016\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2022.016","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1