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DOI: 10.4230/LIPIcs.STACS.2008.1345
URN: urn:nbn:de:0030-drops-13457
URL: http://drops.dagstuhl.de/opus/volltexte/2008/1345/
Damian, Mirela ; Flatland, Robin ; O'Rourke, Joseph ; Ramaswani, Suneeta

Connecting Polygonizations via Stretches and Twangs

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Abstract

We show that the space of polygonizations of a fixed planar point set $S$ of $n$ points is connected by $O(n^2)$ ``moves'' between simple polygons. Each move is composed of a sequence of atomic moves called ``stretches'' and ``twangs''. These atomic moves walk between weakly simple ``polygonal wraps'' of $S$. These moves show promise to serve as a basis for generating random polygons.

BibTeX - Entry

@InProceedings{damian_et_al:LIPIcs:2008:1345,
  author =	{Mirela Damian and Robin Flatland and Joseph O'Rourke and Suneeta Ramaswani},
  title =	{Connecting Polygonizations via Stretches and Twangs},
  booktitle =	{25th International Symposium on Theoretical Aspects of Computer Science (STACS 2008)},
  pages =	{217--228},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-06-4},
  ISSN =	{1868-8969},
  year =	{2008},
  volume =	{1},
  editor =	{Susanne Albers and Pascal Weil},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2008/1345},
  URN =		{urn:nbn:de:0030-drops-13457},
  doi =		{http://dx.doi.org/10.4230/LIPIcs.STACS.2008.1345},
  annote =	{Keywords: Polygons, polygonization, random polygons, connected configuration space}
}

Keywords: Polygons, polygonization, random polygons, connected configuration space
Seminar: 25th International Symposium on Theoretical Aspects of Computer Science
Issue date: 2008
Date of publication: 06.02.2008

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