{"title":"A new approach to hypercube network analysis","authors":"B. Jin, Lan Jin","doi":"10.1109/ICDCS.1989.37955","DOIUrl":null,"url":null,"abstract":"A bit-positional notation is proposed for representing the interconnection topology of a hypercube. This approach greatly helps in the analysis of basic properties of a hypercube network. Some systematic procedures are derived to expand binary trees and map them into higher-dimensional hypercubes. The authors show that an n-cube network can be enhanced by adding at most 2/sup n-2/ diagonal links, which makes it possible to map a complete binary tree into a hypercube with any one of its nodes as the root. The problem of mapping mesh networks into hypercube networks is discussed.<<ETX>>","PeriodicalId":266544,"journal":{"name":"[1989] Proceedings. The 9th International Conference on Distributed Computing Systems","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1989-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1989] Proceedings. The 9th International Conference on Distributed Computing Systems","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICDCS.1989.37955","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
A bit-positional notation is proposed for representing the interconnection topology of a hypercube. This approach greatly helps in the analysis of basic properties of a hypercube network. Some systematic procedures are derived to expand binary trees and map them into higher-dimensional hypercubes. The authors show that an n-cube network can be enhanced by adding at most 2/sup n-2/ diagonal links, which makes it possible to map a complete binary tree into a hypercube with any one of its nodes as the root. The problem of mapping mesh networks into hypercube networks is discussed.<>
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