{"title":"传递图的连通性","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":"{\"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}","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}
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.
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