Planar L-Drawings of Directed Graphs

نویسندگان

  • Steven Chaplick
  • Markus Chimani
  • Sabine Cornelsen
  • Giordano Da Lozzo
  • Martin Nöllenburg
  • Maurizio Patrignani
  • Ioannis G. Tollis
  • Alexander Wolff
چکیده

We study planar drawings of directed graphs in the L-drawing standard. We provide necessary conditions for the existence of these drawings and show that testing for the existence of a planar L-drawing is an NP-complete problem. Motivated by this result, we focus on upwardplanar L-drawings. We show that directed st-graphs admitting an upward(resp. upward-rightward-) planar L-drawing are exactly those admitting a bitonic (resp. monotonically increasing) st-ordering. We give a lineartime algorithm that computes a bitonic (resp. monotonically increasing) st-ordering of a planar st-graph or reports that there exists none.

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تاریخ انتشار 2017