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Planar L-Drawings of Bimodal Graphs

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2021

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Angelini, Patrizio
Chaplick, Steven
Da Lozzo, Giordano

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AUBER, David, ed., Pavel VALTR, ed.. Graph Drawing and Network Visualization, 28th International Symposium, GD 2020 : Revised Selected Papers. Cham: Springer, 2021, pp. 205-219. Lecture Notes in Computer Science. 12590. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-030-68765-6. Available under: doi: 10.1007/978-3-030-68766-3_17

Zusammenfassung

In a planar L-drawing of a directed graph (digraph) each edge e is represented as a polyline composed of a vertical segment starting at the tail of e and a horizontal segment ending at the head of e. Distinct edges may overlap, but not cross. Our main focus is on bimodal graphs, i.e., digraphs admitting a planar embedding in which the incoming and outgoing edges around each vertex are contiguous. We show that every plane bimodal graph without 2-cycles admits a planar L-drawing. This includes the class of upward-plane graphs. Finally, outerplanar digraphs admit a planar L-drawing – although they do not always have a bimodal embedding – but not necessarily with an outerplanar embedding.

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Planar L-drawings, Directed graphs, Bimodality

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Graph Drawing and Network Visualization, 28th International Symposium, GD 2020, 16. Sept. 2020 - 18. Sept. 2020, Vancouver, BC, Canada
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ISO 690ANGELINI, Patrizio, Steven CHAPLICK, Sabine CORNELSEN, Giordano DA LOZZO, 2021. Planar L-Drawings of Bimodal Graphs. Graph Drawing and Network Visualization, 28th International Symposium, GD 2020. Vancouver, BC, Canada, 16. Sept. 2020 - 18. Sept. 2020. In: AUBER, David, ed., Pavel VALTR, ed.. Graph Drawing and Network Visualization, 28th International Symposium, GD 2020 : Revised Selected Papers. Cham: Springer, 2021, pp. 205-219. Lecture Notes in Computer Science. 12590. ISSN 0302-9743. eISSN 1611-3349. ISBN 978-3-030-68765-6. Available under: doi: 10.1007/978-3-030-68766-3_17
BibTex
@inproceedings{Angelini2021Plana-57811,
  year={2021},
  doi={10.1007/978-3-030-68766-3_17},
  title={Planar L-Drawings of Bimodal Graphs},
  number={12590},
  isbn={978-3-030-68765-6},
  issn={0302-9743},
  publisher={Springer},
  address={Cham},
  series={Lecture Notes in Computer Science},
  booktitle={Graph Drawing and Network Visualization, 28th International Symposium, GD 2020 : Revised Selected Papers},
  pages={205--219},
  editor={Auber, David and Valtr, Pavel},
  author={Angelini, Patrizio and Chaplick, Steven and Cornelsen, Sabine and Da Lozzo, Giordano}
}
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