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  • 标题:Cubic Planar Graphs That Cannot Be Drawn On Few Lines
  • 本地全文:下载
  • 作者:David Eppstein
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:129
  • 页码:1-15
  • DOI:10.4230/LIPIcs.SoCG.2019.32
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:For every integer l, we construct a cubic 3-vertex-connected planar bipartite graph G with O(l^3) vertices such that there is no planar straight-line drawing of G whose vertices all lie on l lines. This strengthens previous results on graphs that cannot be drawn on few lines, which constructed significantly larger maximal planar graphs. We also find apex-trees and cubic bipartite series-parallel graphs that cannot be drawn on a bounded number of lines.
  • 关键词:graph drawing; universal point sets; collinearity
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