{"title":"Near-optimal embeddings of trees into Fibonacci cubes","authors":"Bin Gong, S. Zheng","doi":"10.1109/SSST.1996.493541","DOIUrl":null,"url":null,"abstract":"The Fibonacci cube network was proposed recently as an alternative to the hypercube network. In this paper, we consider the problems of simulating tree and X-tree structures by the Fibonacci cube. Such problems can be characterized as network embedding. There is a big gap between the hypercube and the Fibonacci cube with respect to the availability of routing and embedding results. We present near-optimal embedding results, which show that the Fibonacci cube can simulate trees and X-trees almost as efficiently as the hypercube, even though the Fibonacci cube is a network much sparser than the hypercube.","PeriodicalId":135973,"journal":{"name":"Proceedings of 28th Southeastern Symposium on System Theory","volume":"51 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of 28th Southeastern Symposium on System Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SSST.1996.493541","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7
Abstract
The Fibonacci cube network was proposed recently as an alternative to the hypercube network. In this paper, we consider the problems of simulating tree and X-tree structures by the Fibonacci cube. Such problems can be characterized as network embedding. There is a big gap between the hypercube and the Fibonacci cube with respect to the availability of routing and embedding results. We present near-optimal embedding results, which show that the Fibonacci cube can simulate trees and X-trees almost as efficiently as the hypercube, even though the Fibonacci cube is a network much sparser than the hypercube.