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On Colourability of Polygon Visibility Graphs

Authors Onur Cagirici, Petr Hlinený, Bodhayan Roy

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Onur Cagirici
Petr Hlinený
Bodhayan Roy

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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)
https://doi.org/10.4230/LIPIcs.FSTTCS.2017.21

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.
Keywords
  • polygon visibility graph
  • graph coloring
  • NP-completeness

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