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Documents authored by Cagirici, Onur


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On Colourability of Polygon Visibility Graphs

Authors: Onur Cagirici, Petr Hlinený, and Bodhayan Roy

Published in: LIPIcs, Volume 93, 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017)


Abstract
We study the problem of colouring the visibility graphs of polygons. In particular, we provide a polynomial algorithm for 4-colouring of the polygon visibility graphs, and prove that the 6- colourability question is already NP-complete for them.

Cite as

Onur Cagirici, Petr Hlinený, and Bodhayan Roy. On Colourability of Polygon Visibility Graphs. In 37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 93, pp. 21:1-21:14, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{cagirici_et_al:LIPIcs.FSTTCS.2017.21,
  author =	{Cagirici, Onur and Hlinen\'{y}, Petr and Roy, Bodhayan},
  title =	{{On Colourability of Polygon Visibility Graphs}},
  booktitle =	{37th IARCS Annual Conference on Foundations of Software Technology and Theoretical Computer Science (FSTTCS 2017)},
  pages =	{21:1--21:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-055-2},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{93},
  editor =	{Lokam, Satya and Ramanujam, R.},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FSTTCS.2017.21},
  URN =		{urn:nbn:de:0030-drops-83814},
  doi =		{10.4230/LIPIcs.FSTTCS.2017.21},
  annote =	{Keywords: polygon visibility graph, graph coloring, NP-completeness}
}
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