Publikation:

Recognizing a DOG is Hard, But Not When It is Thin and Unit

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2016

Autor:innen

Evans, William
Löffler, Maarten
Polishchuk, Valentin

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European Union (EU): 319209

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NEXUS 1492
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DEMAINE, Erik D., ed., Fabrizio GRANDONI, ed.. 8th International Conference on Fun with Algorithms (FUN 2016). Leibniz: Wadern : Schloss Dagstuhl, 2016, pp. 16:1-16:12. LIPIcs : Leibniz International Proceedings in Informatics. 49. ISBN 978-3-95977-005-7. Available under: doi: 10.4230/LIPIcs.FUN.2016.16

Zusammenfassung

We define the notion of disk-obedience for a set of disks in the plane and give results for diskobedient graphs (DOGs), which are disk intersection graphs (DIGs) that admit a planar embedding with vertices inside the corresponding disks. We show that in general it is hard to recognize a DOG, but when the DIG is thin and unit (i.e., when the disks are unit disks), it can be done in linear time

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
004 Informatik

Schlagwörter

graph drawing, planar graphs, disk intersection graphs

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8th International Conference on Fun with Algorithms (FUN 2016), 8. Juni 2016 - 10. Juni 2016, La Maddalena, Italy
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ISO 690EVANS, William, Mereke VAN GARDEREN, Maarten LÖFFLER, Valentin POLISHCHUK, 2016. Recognizing a DOG is Hard, But Not When It is Thin and Unit. 8th International Conference on Fun with Algorithms (FUN 2016). La Maddalena, Italy, 8. Juni 2016 - 10. Juni 2016. In: DEMAINE, Erik D., ed., Fabrizio GRANDONI, ed.. 8th International Conference on Fun with Algorithms (FUN 2016). Leibniz: Wadern : Schloss Dagstuhl, 2016, pp. 16:1-16:12. LIPIcs : Leibniz International Proceedings in Informatics. 49. ISBN 978-3-95977-005-7. Available under: doi: 10.4230/LIPIcs.FUN.2016.16
BibTex
@inproceedings{Evans2016Recog-44771,
  year={2016},
  doi={10.4230/LIPIcs.FUN.2016.16},
  title={Recognizing a DOG is Hard, But Not When It is Thin and Unit},
  url={http://drops.dagstuhl.de/opus/volltexte/2016/5867/},
  number={49},
  isbn={978-3-95977-005-7},
  publisher={Wadern : Schloss Dagstuhl},
  address={Leibniz},
  series={LIPIcs : Leibniz International Proceedings in Informatics},
  booktitle={8th International Conference on Fun with Algorithms (FUN 2016)},
  pages={16:1--16:12},
  editor={Demaine, Erik D. and Grandoni, Fabrizio},
  author={Evans, William and van Garderen, Mereke and Löffler, Maarten and Polishchuk, Valentin}
}
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