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  • 标题:On Primal-Dual Circle Representations
  • 本地全文:下载
  • 作者:Stefan Felsner ; G{"u}nter Rote
  • 期刊名称:OASIcs : OpenAccess Series in Informatics
  • 电子版ISSN:2190-6807
  • 出版年度:2018
  • 卷号:69
  • 页码:1-18
  • DOI:10.4230/OASIcs.SOSA.2019.8
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:The Koebe-Andreev-Thurston Circle Packing Theorem states that every triangulated planar graph has a contact representation by circles. The theorem has been generalized in various ways. The most prominent generalization assures the existence of a primal-dual circle representation for every 3-connected planar graph. We present a simple and elegant elementary proof of this result.
  • 关键词:Disk packing; planar graphs; contact representation
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