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  • 标题:Recognizing a DOG is Hard, But Not When It is Thin and Unit
  • 本地全文:下载
  • 作者:William Evans ; Mereke van Garderen ; Maarten L{\"o}ffler
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2016
  • 卷号:49
  • 页码:16:1-16:12
  • DOI:10.4230/LIPIcs.FUN.2016.16
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:We define the notion of disk-obedience for a set of disks in the plane and give results for diskobedient graphs (DOGs), which are disk intersection graphs (DIGs) that admit a planar embedding with vertices inside the corresponding disks. We show that in general it is hard to recognize a DOG, but when the DIG is thin and unit (i.e., when the disks are unit disks), it can be done in linear time.
  • 关键词:graph drawing; planar graphs; disk intersection graphs
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