Planar L-Drawings of Directed Graphs

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2018
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Chaplick, Steven
Chimani, Markus
Da Lozzo, Giordano
Nöllenburg, Martin
Patrignani, Maurizio
Tollis, Ioannis G.
Wolff, Alexander
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FRATI, Fabrizio, ed., Kwan-Liu MA, ed.. Graph Drawing and Network Visualization : 25th International Symposium, GD 2017, Revised Selected Papers. Cham: Springer, 2018, pp. 465-478. Lecture Notes in Computer Science. 10692. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-73914-4. Available under: doi: 10.1007/978-3-319-73915-1_36
Zusammenfassung

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 upward-planar 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 linear-time 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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Graph Drawing and Network Visualization : 25th International Symposium, GD 2017, 25. Sept. 2017 - 27. Sept. 2017, Boston, MA
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ISO 690CHAPLICK, Steven, Markus CHIMANI, Sabine CORNELSEN, Giordano DA LOZZO, Martin NÖLLENBURG, Maurizio PATRIGNANI, Ioannis G. TOLLIS, Alexander WOLFF, 2018. Planar L-Drawings of Directed Graphs. Graph Drawing and Network Visualization : 25th International Symposium, GD 2017. Boston, MA, 25. Sept. 2017 - 27. Sept. 2017. In: FRATI, Fabrizio, ed., Kwan-Liu MA, ed.. Graph Drawing and Network Visualization : 25th International Symposium, GD 2017, Revised Selected Papers. Cham: Springer, 2018, pp. 465-478. Lecture Notes in Computer Science. 10692. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-319-73914-4. Available under: doi: 10.1007/978-3-319-73915-1_36
BibTex
@inproceedings{Chaplick2018-01-21Plana-44792,
  year={2018},
  doi={10.1007/978-3-319-73915-1_36},
  title={Planar L-Drawings of Directed Graphs},
  number={10692},
  isbn={978-3-319-73914-4},
  issn={0302-9743},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computer Science},
  booktitle={Graph Drawing and Network Visualization : 25th International Symposium, GD 2017, Revised Selected Papers},
  pages={465--478},
  editor={Frati, Fabrizio and Ma, Kwan-Liu},
  author={Chaplick, Steven and Chimani, Markus and Cornelsen, Sabine and Da Lozzo, Giordano and Nöllenburg, Martin and Patrignani, Maurizio and Tollis, Ioannis G. and Wolff, Alexander}
}
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