License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.SoCG.2019.33
URN: urn:nbn:de:0030-drops-104371
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10437/
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Eppstein, David

Counting Polygon Triangulations is Hard

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LIPIcs-SoCG-2019-33.pdf (0.9 MB)

Abstract

We prove that it is #P-complete to count the triangulations of a (non-simple) polygon.

BibTeX - Entry

@InProceedings{eppstein:LIPIcs:2019:10437,
  author =	{David Eppstein},
  title =	{{Counting Polygon Triangulations is Hard}},
  booktitle =	{35th International Symposium on Computational Geometry (SoCG 2019)},
  pages =	{33:1--33:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-104-7},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{129},
  editor =	{Gill Barequet and Yusu Wang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10437},
  URN =		{urn:nbn:de:0030-drops-104371},
  doi =		{10.4230/LIPIcs.SoCG.2019.33},
  annote =	{Keywords: counting complexity, #P-completeness, triangulation, polygons}
}

Keywords: counting complexity, #P-completeness, triangulation, polygons
Collection: 35th International Symposium on Computational Geometry (SoCG 2019)
Issue Date: 2019
Date of publication: 11.06.2019

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