Planar L-Drawings of directed graphs

Autor(en): Chaplick, S.
Chimani, M. 
Cornelsen, S.
Da Lozzo, G.
Nöllenburg, M.
Patrignani, M.
Tollis, I.G.
Wolff, A.
Herausgeber: Ma, K.-L.
Frati, F.
Stichwörter: Clustering algorithms; Computational complexity; Drawing (graphics); Visualization, Linear-time algorithms; Planar drawing, Directed graphs
Erscheinungsdatum: 2018
Herausgeber: Springer Verlag
Journal: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volumen: 10692 LNCS
Startseite: 465
Seitenende: 478
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. © Springer International Publishing AG 2018.
Beschreibung: 
Conference of 25th International Symposium on Graph Drawing and Network Visualization, GD 2017 ; Conference Date: 25 September 2017 Through 27 September 2017; Conference Code:210129
ISBN: 9783319739144
ISSN: 03029743
DOI: 10.1007/978-3-319-73915-1_36
Externe URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85041830448&doi=10.1007%2f978-3-319-73915-1_36&partnerID=40&md5=74f308f028dbca75bd4260dd8d79ba62

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