{"title":"聚类星图:大型互连网络的一种新拓扑","authors":"S. Latifi, N. Bagherzadeh","doi":"10.1109/IPPS.1993.262824","DOIUrl":null,"url":null,"abstract":"The authors propose a flexible network called the clustered-star (CS) network. An (n-1)-dimensional CS of order m, denoted by CS/sub n-1//sup m/ is an n-dimensional star with (n-m) of its (n-1)-stars missing. The advantage of CS/sub n-1//sup m/ is that from the network size viewpoint, it is scalable by a factor of 1<m<n, as opposed to the (n-1)-star which is scalable only by a factor of n. Furthermore, the complete star graph with some faulty components or with some already allocated substars may result in a clustered-star network which renders the study of this new network important. Basic topological properties of CS/sub n-1//sup m/ are derived and optimal routing and broadcasting algorithms for this network are presented. It is shown that CS/sub n-1//sup m/ is hamiltonian for m=4, and m=3k, k not=2.<<ETX>>","PeriodicalId":248927,"journal":{"name":"[1993] Proceedings Seventh International Parallel Processing Symposium","volume":"28 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"The clustered-star graph: a new topology for large interconnection networks\",\"authors\":\"S. Latifi, N. Bagherzadeh\",\"doi\":\"10.1109/IPPS.1993.262824\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The authors propose a flexible network called the clustered-star (CS) network. An (n-1)-dimensional CS of order m, denoted by CS/sub n-1//sup m/ is an n-dimensional star with (n-m) of its (n-1)-stars missing. The advantage of CS/sub n-1//sup m/ is that from the network size viewpoint, it is scalable by a factor of 1<m<n, as opposed to the (n-1)-star which is scalable only by a factor of n. Furthermore, the complete star graph with some faulty components or with some already allocated substars may result in a clustered-star network which renders the study of this new network important. Basic topological properties of CS/sub n-1//sup m/ are derived and optimal routing and broadcasting algorithms for this network are presented. It is shown that CS/sub n-1//sup m/ is hamiltonian for m=4, and m=3k, k not=2.<<ETX>>\",\"PeriodicalId\":248927,\"journal\":{\"name\":\"[1993] Proceedings Seventh International Parallel Processing Symposium\",\"volume\":\"28 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-04-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1993] Proceedings Seventh International Parallel Processing Symposium\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IPPS.1993.262824\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1993] Proceedings Seventh International Parallel Processing Symposium","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IPPS.1993.262824","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The clustered-star graph: a new topology for large interconnection networks
The authors propose a flexible network called the clustered-star (CS) network. An (n-1)-dimensional CS of order m, denoted by CS/sub n-1//sup m/ is an n-dimensional star with (n-m) of its (n-1)-stars missing. The advantage of CS/sub n-1//sup m/ is that from the network size viewpoint, it is scalable by a factor of 1>
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