{"title":"Cyclic connectivity of the data center network","authors":"Hongzhou Zhu, J. Meng","doi":"10.1080/17445760.2021.1952579","DOIUrl":null,"url":null,"abstract":"Let G be a connected graph, F be a subset of , S be a subset of . The cyclic vertex connectivity of G, denoted by , is the minimum cardinality of F such that G−F is disconnected and at least two of its components contain cycles. The cyclic edge connectivity of G, denoted by , is the minimum cardinality of S such that G−S is disconnected and at least two of its components contain cycles. Let denote the data center network. In this paper, we obtain the following results: for ; for , ; for ; for ; for , .","PeriodicalId":45411,"journal":{"name":"International Journal of Parallel Emergent and Distributed Systems","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/17445760.2021.1952579","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Parallel Emergent and Distributed Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/17445760.2021.1952579","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
Let G be a connected graph, F be a subset of , S be a subset of . The cyclic vertex connectivity of G, denoted by , is the minimum cardinality of F such that G−F is disconnected and at least two of its components contain cycles. The cyclic edge connectivity of G, denoted by , is the minimum cardinality of S such that G−S is disconnected and at least two of its components contain cycles. Let denote the data center network. In this paper, we obtain the following results: for ; for , ; for ; for ; for , .
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
