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  • 标题:Towards Plane Spanners of Degree 3
  • 本地全文:下载
  • 作者:Ahmad Biniaz ; Prosenjit Bose ; Jean-Lou De Carufel
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2016
  • 卷号:64
  • 页码:19:1-19:14
  • DOI:10.4230/LIPIcs.ISAAC.2016.19
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:Let S be a finite set of points in the plane that are in convex position. We present an algorithm that constructs a plane frac{3+4 pi}{3}-spanner of S whose vertex degree is at most 3. Let Lambda be the vertex set of a finite non-uniform rectangular lattice in the plane. We present an algorithm that constructs a plane 3 sqrt{2}-spanner for Lambda whose vertex degree is at most 3. For points that are in the plane and in general position, we show how to compute plane degree-3 spanners with a linear number of Steiner points.
  • 关键词:plane spanners; degree-3 spanners; convex position; non-uniform lattice
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