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文章基本信息

  • 标题:Essentially every unimodular matrix defines an expander
  • 本地全文:下载
  • 作者:Jin-Yi Cai
  • 期刊名称:Electronic Colloquium on Computational Complexity
  • 印刷版ISSN:1433-8092
  • 出版年度:2001
  • 卷号:2001
  • 出版社:Universität Trier, Lehrstuhl für Theoretische Computer-Forschung
  • 摘要:We generalize the construction of Gabber and Galil to essentially every unimodular matrix in S L 2 ( \Z ) . It is shown that every parabolic or hyperbolic fractional linear transformation explicitly defines an expander of bounded degree and constant expansion. Thus all but a vanishingly small fraction of unimodular matrices define expanders.
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