{"title":"Connectivity of transitive graphs","authors":"Mark E. Watkins","doi":"10.1016/S0021-9800(70)80005-9","DOIUrl":null,"url":null,"abstract":"<div><p>The conditions imposed by edge-transitivity and vertex-transitivity on the connectivity of simple graphs are investigated. Particular attention is given to the structure of those vertex-transitive graphs for which the degree of regularity exceeds the connectivity.</p></div>","PeriodicalId":100765,"journal":{"name":"Journal of Combinatorial Theory","volume":"8 1","pages":"Pages 23-29"},"PeriodicalIF":0.0000,"publicationDate":"1970-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0021-9800(70)80005-9","citationCount":"217","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Combinatorial Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0021980070800059","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 217
Abstract
The conditions imposed by edge-transitivity and vertex-transitivity on the connectivity of simple graphs are investigated. Particular attention is given to the structure of those vertex-transitive graphs for which the degree of regularity exceeds the connectivity.