Low Ply Drawings of Trees

نویسندگان

  • Patrizio Angelini
  • Michael A. Bekos
  • Till Bruckdorfer
  • Jaroslav Hancl
  • Michael Kaufmann
  • Stephen G. Kobourov
  • Antonios Symvonis
  • Pavel Valtr
چکیده

We consider the recently introduced model of low ply graph drawing, a straight-line drawing in which the ply-disks of the vertices do not have many common overlaps, which results in a good distribution of the vertices in the plane. The ply-disk of a vertex is the disk centered at it whose radius is half the length of its longest incident edge. We focus our attention on low-ply drawings of trees. We first consider drawings with constant ply; we prove that they may require exponential area, even for stars, and that they may not even exist for trees with bounded degree. Hence, we turn our attention to logarithmic-ply drawings and show that trees with maximum degree 6 always admit this type of drawings in polynomial area.

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تاریخ انتشار 2016