{"title":"Asymptotic enumeration of labeled series-parallel $k$-cyclic bridgeless graphs","authors":"V. A. Voblyi","doi":"10.33048/daio.2021.28.715","DOIUrl":null,"url":null,"abstract":"— We deduce the asymptotics for the number of labeled connected series-parallel k -cyclic graphs with large order and fi xed number k . We prove that almost all labeled series-parallel k -cyclic connected graphs without bridges for fi xed k are blocks","PeriodicalId":126663,"journal":{"name":"Diskretnyi analiz i issledovanie operatsii","volume":"19 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Diskretnyi analiz i issledovanie operatsii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33048/daio.2021.28.715","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
— We deduce the asymptotics for the number of labeled connected series-parallel k -cyclic graphs with large order and fi xed number k . We prove that almost all labeled series-parallel k -cyclic connected graphs without bridges for fi xed k are blocks